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						<b>Problem 1: </b>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">For part one I am giving credit for any reasonable answer.<sp count="2"/>Essentially you should have discussed inlet and outlet losses.<sp count="2"/>They are modeled in the class example as velocity terms by increasing the<sp count="3"/>change in pressure across the waterjet inlet and outlet.</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">For part two you can examine the equation itself to determine what you can change to increase <f family="Symbol" charset="2" size="10">
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																<ml:mult style="default"/>
																<ml:id xml:space="preserve">g</ml:id>
																<ml:apply>
																	<ml:div/>
																	<ml:id xml:space="preserve">h</ml:id>
																	<ml:apply>
																		<ml:pow/>
																		<ml:id xml:space="preserve" subscript="a">V</ml:id>
																		<ml:real>2</ml:real>
																	</ml:apply>
																</ml:apply>
															</ml:apply>
														</ml:parens>
													</ml:apply>
												</ml:apply>
												<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
											</ml:apply>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
												<ml:apply>
													<ml:pow/>
													<ml:id xml:space="preserve">δ</ml:id>
													<ml:real>2</ml:real>
												</ml:apply>
											</ml:apply>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:lambda>
					</ml:apply>
					<ml:symResult>
						<ml:apply>
							<ml:minus/>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:real>2</ml:real>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:minus/>
											<ml:real>1</ml:real>
											<ml:id xml:space="preserve">t</ml:id>
										</ml:apply>
										<ml:apply>
											<ml:minus/>
											<ml:real>1</ml:real>
											<ml:id xml:space="preserve">w</ml:id>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:pow/>
											<ml:id xml:space="preserve" subscript="pump">η</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
										<ml:apply>
											<ml:plus/>
											<ml:apply>
												<ml:plus/>
												<ml:apply>
													<ml:plus/>
													<ml:apply>
														<ml:minus/>
														<ml:apply>
															<ml:pow/>
															<ml:id xml:space="preserve">δ</ml:id>
															<ml:real>2</ml:real>
														</ml:apply>
														<ml:real>1</ml:real>
													</ml:apply>
													<ml:apply>
														<ml:mult style="default"/>
														<ml:real>2</ml:real>
														<ml:apply>
															<ml:mult style="default"/>
															<ml:id xml:space="preserve">g</ml:id>
															<ml:apply>
																<ml:div/>
																<ml:id xml:space="preserve">h</ml:id>
																<ml:apply>
																	<ml:pow/>
																	<ml:id xml:space="preserve" subscript="a">V</ml:id>
																	<ml:real>2</ml:real>
																</ml:apply>
															</ml:apply>
														</ml:apply>
													</ml:apply>
												</ml:apply>
												<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
											</ml:apply>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
												<ml:apply>
													<ml:pow/>
													<ml:id xml:space="preserve">δ</ml:id>
													<ml:real>2</ml:real>
												</ml:apply>
											</ml:apply>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:real>2</ml:real>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:apply>
										<ml:div/>
										<ml:apply>
											<ml:minus/>
											<ml:real>1</ml:real>
											<ml:id xml:space="preserve">t</ml:id>
										</ml:apply>
										<ml:apply>
											<ml:minus/>
											<ml:real>1</ml:real>
											<ml:id xml:space="preserve">w</ml:id>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:apply>
											<ml:pow/>
											<ml:id xml:space="preserve" subscript="pump">η</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
										<ml:apply>
											<ml:mult style="default"/>
											<ml:apply>
												<ml:div/>
												<ml:apply>
													<ml:minus/>
													<ml:apply>
														<ml:minus/>
														<ml:id xml:space="preserve">δ</ml:id>
														<ml:real>1</ml:real>
													</ml:apply>
													<ml:apply>
														<ml:mult style="default"/>
														<ml:apply>
															<ml:div/>
															<ml:real>1</ml:real>
															<ml:real>2</ml:real>
														</ml:apply>
														<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
													</ml:apply>
												</ml:apply>
												<ml:apply>
													<ml:pow/>
													<ml:parens>
														<ml:apply>
															<ml:plus/>
															<ml:apply>
																<ml:plus/>
																<ml:apply>
																	<ml:plus/>
																	<ml:apply>
																		<ml:minus/>
																		<ml:apply>
																			<ml:pow/>
																			<ml:id xml:space="preserve">δ</ml:id>
																			<ml:real>2</ml:real>
																		</ml:apply>
																		<ml:real>1</ml:real>
																	</ml:apply>
																	<ml:apply>
																		<ml:mult style="default"/>
																		<ml:real>2</ml:real>
																		<ml:apply>
																			<ml:mult style="default"/>
																			<ml:id xml:space="preserve">g</ml:id>
																			<ml:apply>
																				<ml:div/>
																				<ml:id xml:space="preserve">h</ml:id>
																				<ml:apply>
																					<ml:pow/>
																					<ml:id xml:space="preserve" subscript="a">V</ml:id>
																					<ml:real>2</ml:real>
																				</ml:apply>
																			</ml:apply>
																		</ml:apply>
																	</ml:apply>
																</ml:apply>
																<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
															</ml:apply>
															<ml:apply>
																<ml:mult style="default"/>
																<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
																<ml:apply>
																	<ml:pow/>
																	<ml:id xml:space="preserve">δ</ml:id>
																	<ml:real>2</ml:real>
																</ml:apply>
															</ml:apply>
														</ml:apply>
													</ml:parens>
													<ml:real>2</ml:real>
												</ml:apply>
											</ml:apply>
											<ml:parens>
												<ml:apply>
													<ml:plus/>
													<ml:apply>
														<ml:mult style="default"/>
														<ml:real>2</ml:real>
														<ml:id xml:space="preserve">δ</ml:id>
													</ml:apply>
													<ml:apply>
														<ml:mult style="default"/>
														<ml:real>2</ml:real>
														<ml:apply>
															<ml:mult style="default"/>
															<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
															<ml:id xml:space="preserve">δ</ml:id>
														</ml:apply>
													</ml:apply>
												</ml:apply>
											</ml:parens>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:apply>
					</ml:symResult>
				</ml:symEval>
			</math>
			<rendering item-idref="7"/>
		</region>
		<region region-id="175" left="12" top="473.25" width="611.25" height="73.5" align-x="21.75" align-y="504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:equal/>
					<ml:real>0</ml:real>
					<ml:apply>
						<ml:minus/>
						<ml:apply>
							<ml:mult style="default"/>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:real>2</ml:real>
								<ml:apply>
									<ml:div/>
									<ml:apply>
										<ml:minus/>
										<ml:real>1</ml:real>
										<ml:id xml:space="preserve">t</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:minus/>
										<ml:real>1</ml:real>
										<ml:id xml:space="preserve">w</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve" subscript="pump">η</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:plus/>
										<ml:apply>
											<ml:plus/>
											<ml:apply>
												<ml:minus/>
												<ml:apply>
													<ml:pow/>
													<ml:id xml:space="preserve">δ</ml:id>
													<ml:real>2</ml:real>
												</ml:apply>
												<ml:real>1</ml:real>
											</ml:apply>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:real>2</ml:real>
												<ml:apply>
													<ml:mult style="default"/>
													<ml:id xml:space="preserve">g</ml:id>
													<ml:apply>
														<ml:div/>
														<ml:id xml:space="preserve">h</ml:id>
														<ml:apply>
															<ml:pow/>
															<ml:id xml:space="preserve" subscript="a">V</ml:id>
															<ml:real>2</ml:real>
														</ml:apply>
													</ml:apply>
												</ml:apply>
											</ml:apply>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
										<ml:apply>
											<ml:pow/>
											<ml:id xml:space="preserve">δ</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:mult style="default"/>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:real>2</ml:real>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:minus/>
												<ml:real>1</ml:real>
												<ml:id xml:space="preserve">t</ml:id>
											</ml:apply>
											<ml:apply>
												<ml:minus/>
												<ml:real>1</ml:real>
												<ml:id xml:space="preserve">w</ml:id>
											</ml:apply>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve" subscript="pump">η</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:div/>
									<ml:apply>
										<ml:minus/>
										<ml:apply>
											<ml:minus/>
											<ml:id xml:space="preserve">δ</ml:id>
											<ml:real>1</ml:real>
										</ml:apply>
										<ml:apply>
											<ml:mult style="default"/>
											<ml:apply>
												<ml:div/>
												<ml:real>1</ml:real>
												<ml:real>2</ml:real>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:pow/>
										<ml:parens>
											<ml:apply>
												<ml:plus/>
												<ml:apply>
													<ml:plus/>
													<ml:apply>
														<ml:plus/>
														<ml:apply>
															<ml:minus/>
															<ml:apply>
																<ml:pow/>
																<ml:id xml:space="preserve">δ</ml:id>
																<ml:real>2</ml:real>
															</ml:apply>
															<ml:real>1</ml:real>
														</ml:apply>
														<ml:apply>
															<ml:mult style="default"/>
															<ml:real>2</ml:real>
															<ml:apply>
																<ml:mult style="default"/>
																<ml:id xml:space="preserve">g</ml:id>
																<ml:apply>
																	<ml:div/>
																	<ml:id xml:space="preserve">h</ml:id>
																	<ml:apply>
																		<ml:pow/>
																		<ml:id xml:space="preserve" subscript="a">V</ml:id>
																		<ml:real>2</ml:real>
																	</ml:apply>
																</ml:apply>
															</ml:apply>
														</ml:apply>
													</ml:apply>
													<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
												</ml:apply>
												<ml:apply>
													<ml:mult style="default"/>
													<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
													<ml:apply>
														<ml:pow/>
														<ml:id xml:space="preserve">δ</ml:id>
														<ml:real>2</ml:real>
													</ml:apply>
												</ml:apply>
											</ml:apply>
										</ml:parens>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
							</ml:apply>
							<ml:parens>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:real>2</ml:real>
										<ml:id xml:space="preserve">δ</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:real>2</ml:real>
										<ml:apply>
											<ml:mult style="default"/>
											<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
											<ml:id xml:space="preserve">δ</ml:id>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:apply>
					</ml:apply>
				</ml:apply>
			</math>
			<rendering item-idref="8"/>
		</region>
		<region region-id="178" left="6" top="554.25" width="69" height="12" align-x="15" align-y="564" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Now simplify to:</p>
			</text>
		</region>
		<region region-id="180" left="6" top="572.25" width="393" height="37.5" align-x="15.75" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:equal/>
					<ml:real>0</ml:real>
					<ml:apply>
						<ml:minus/>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:plus/>
										<ml:apply>
											<ml:minus/>
											<ml:apply>
												<ml:pow/>
												<ml:id xml:space="preserve">δ</ml:id>
												<ml:real>2</ml:real>
											</ml:apply>
											<ml:real>1</ml:real>
										</ml:apply>
										<ml:apply>
											<ml:mult style="default"/>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:real>2</ml:real>
												<ml:id xml:space="preserve">g</ml:id>
											</ml:apply>
											<ml:apply>
												<ml:div/>
												<ml:id xml:space="preserve">h</ml:id>
												<ml:apply>
													<ml:pow/>
													<ml:id xml:space="preserve" subscript="a">V</ml:id>
													<ml:real>2</ml:real>
												</ml:apply>
											</ml:apply>
										</ml:apply>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
									<ml:apply>
										<ml:pow/>
										<ml:id xml:space="preserve">δ</ml:id>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:parens>
						<ml:apply>
							<ml:mult style="auto-select"/>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:apply>
										<ml:minus/>
										<ml:id xml:space="preserve">δ</ml:id>
										<ml:real>1</ml:real>
									</ml:apply>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:apply>
											<ml:div/>
											<ml:real>1</ml:real>
											<ml:real>2</ml:real>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:parens>
							<ml:parens>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:real>2</ml:real>
										<ml:id xml:space="preserve">δ</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:apply>
											<ml:mult style="default"/>
											<ml:real>2</ml:real>
											<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
										</ml:apply>
										<ml:id xml:space="preserve">δ</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:apply>
					</ml:apply>
				</ml:apply>
			</math>
			<rendering item-idref="9"/>
		</region>
		<region region-id="181" left="6" top="620.25" width="521.25" height="37.5" align-x="15.75" align-y="636" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:equal/>
					<ml:real>0</ml:real>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:plus/>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:minus/>
										<ml:apply>
											<ml:minus/>
											<ml:apply>
												<ml:plus/>
												<ml:apply>
													<ml:plus/>
													<ml:apply>
														<ml:minus/>
														<ml:apply>
															<ml:mult style="auto-select"/>
															<ml:apply>
																<ml:pow/>
																<ml:id xml:space="preserve">δ</ml:id>
																<ml:real>2</ml:real>
															</ml:apply>
															<ml:parens>
																<ml:apply>
																	<ml:plus/>
																	<ml:real>1</ml:real>
																	<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
																</ml:apply>
															</ml:parens>
														</ml:apply>
														<ml:real>1</ml:real>
													</ml:apply>
													<ml:apply>
														<ml:mult style="default"/>
														<ml:apply>
															<ml:mult style="default"/>
															<ml:real>2</ml:real>
															<ml:id xml:space="preserve">g</ml:id>
														</ml:apply>
														<ml:apply>
															<ml:div/>
															<ml:id xml:space="preserve">h</ml:id>
															<ml:apply>
																<ml:pow/>
																<ml:id xml:space="preserve" subscript="a">V</ml:id>
																<ml:real>2</ml:real>
															</ml:apply>
														</ml:apply>
													</ml:apply>
												</ml:apply>
												<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
											</ml:apply>
											<ml:apply>
												<ml:mult style="auto-select"/>
												<ml:real>2</ml:real>
												<ml:apply>
													<ml:pow/>
													<ml:id xml:space="preserve">δ</ml:id>
													<ml:real>2</ml:real>
												</ml:apply>
											</ml:apply>
										</ml:apply>
										<ml:apply>
											<ml:mult style="auto-select"/>
											<ml:apply>
												<ml:mult style="auto-select"/>
												<ml:real>2</ml:real>
												<ml:apply>
													<ml:pow/>
													<ml:id xml:space="preserve">δ</ml:id>
													<ml:real>2</ml:real>
												</ml:apply>
											</ml:apply>
											<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
										</ml:apply>
									</ml:apply>
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										<ml:real>2</ml:real>
										<ml:id xml:space="preserve">δ</ml:id>
									</ml:apply>
								</ml:apply>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:apply>
										<ml:mult style="auto-select"/>
										<ml:real>2</ml:real>
										<ml:id xml:space="preserve">δ</ml:id>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
								</ml:apply>
							</ml:apply>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
								<ml:id xml:space="preserve">δ</ml:id>
							</ml:apply>
						</ml:apply>
						<ml:apply>
							<ml:mult style="default"/>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
								<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
							</ml:apply>
							<ml:id xml:space="preserve">δ</ml:id>
						</ml:apply>
					</ml:apply>
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			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:equal/>
					<ml:real>0</ml:real>
					<ml:apply>
						<ml:plus/>
						<ml:apply>
							<ml:minus/>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve">δ</ml:id>
								<ml:real>2</ml:real>
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								<ml:apply>
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											<ml:real>1</ml:real>
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												<ml:real>2</ml:real>
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								<ml:id xml:space="preserve">δ</ml:id>
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								<ml:apply>
									<ml:minus/>
									<ml:apply>
										<ml:minus/>
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										<ml:parens>
											<ml:apply>
												<ml:mult style="auto-select"/>
												<ml:real>2</ml:real>
												<ml:apply>
													<ml:div/>
													<ml:id xml:space="preserve">gh</ml:id>
													<ml:apply>
														<ml:pow/>
														<ml:id xml:space="preserve" subscript="a">V</ml:id>
														<ml:real>2</ml:real>
													</ml:apply>
												</ml:apply>
											</ml:apply>
										</ml:parens>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
								</ml:apply>
							</ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:real>1</ml:real>
								<ml:id xml:space="preserve" subscript="out">K</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:apply>
				</ml:apply>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Use only positive root</p>
			</text>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">you could simplify further</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">but you can see the solution.</p>
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			<math optimize="false" disable-calc="false">
				<ml:apply xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:equal/>
					<ml:id xml:space="preserve">δ</ml:id>
					<ml:apply>
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							<ml:apply>
								<ml:minus/>
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											<ml:real>1</ml:real>
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												<ml:real>2</ml:real>
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									<ml:sqrt/>
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											<ml:pow/>
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													<ml:mult style="default"/>
													<ml:real>2</ml:real>
													<ml:parens>
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															<ml:plus/>
															<ml:real>1</ml:real>
															<ml:apply>
																<ml:div/>
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																<ml:real>2</ml:real>
															</ml:apply>
														</ml:apply>
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												</ml:apply>
											</ml:parens>
											<ml:real>2</ml:real>
										</ml:apply>
										<ml:apply>
											<ml:div/>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:real>4</ml:real>
												<ml:parens>
													<ml:apply>
														<ml:minus/>
														<ml:apply>
															<ml:minus/>
															<ml:real>1</ml:real>
															<ml:parens>
																<ml:apply>
																	<ml:mult style="default"/>
																	<ml:real>2</ml:real>
																	<ml:apply>
																		<ml:div/>
																		<ml:id xml:space="preserve">gh</ml:id>
																		<ml:apply>
																			<ml:pow/>
																			<ml:id xml:space="preserve" subscript="a">V</ml:id>
																			<ml:real>2</ml:real>
																		</ml:apply>
																	</ml:apply>
																</ml:apply>
															</ml:parens>
														</ml:apply>
														<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
													</ml:apply>
												</ml:parens>
											</ml:apply>
											<ml:apply>
												<ml:plus/>
												<ml:real>1</ml:real>
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											</ml:apply>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:parens>
						<ml:real>2</ml:real>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
					<f size="12">
						<b>Problem 2:</b>
					</f>
				</p>
			</text>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="s">V</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>70</ml:real>
						<ml:id xml:space="preserve">knot</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="net">T</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>225000</ml:real>
						<ml:id xml:space="preserve">lbf</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">w</ml:id>
					<ml:real>.04</ml:real>
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		<region region-id="10" left="252" top="927" width="29.25" height="12.75" align-x="261.75" align-y="936" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">t</ml:id>
					<ml:real>.08</ml:real>
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			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Any reasonable</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">estimate will work</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">for w,t.</p>
			</text>
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						<ml:id xml:space="preserve" subscript="s">V</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:minus/>
								<ml:real>1</ml:real>
								<ml:id xml:space="preserve">w</ml:id>
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			<math optimize="false" disable-calc="false">
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						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">ft</ml:id>
							<ml:id xml:space="preserve">s</ml:id>
						</ml:apply>
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					<result xmlns="http://schemas.mathsoft.com/math20">
						<unitedValue>
							<ml:real>113.42082239720035</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="j">V</ml:id>
					<ml:apply>
						<ml:mult style="default"/>
						<ml:real>2</ml:real>
						<ml:id xml:space="preserve" subscript="a">V</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:sequence xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">therefore</ml:id>
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			<math optimize="false" disable-calc="false">
				<ml:eval xmlns:ml="http://schemas.mathsoft.com/math20">
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							<ml:div/>
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							<ml:id xml:space="preserve">s</ml:id>
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						<unitedValue>
							<ml:real>226.84164479440071</ml:real>
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								<unitReference unit="foot"/>
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			<math optimize="false" disable-calc="false">
				<ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math20">
					<originRef doc-id="812ad799-41ed-417c-bd0e-263a673ec5b8" version-id="76d296ab-9489-41c4-ad34-0538dacf0870" branch-id="00000000-0000-0000-0000-000000000000" revision-num="1" is-modified="false" region-id="1676" href="C:\Documents and Settings\Perry Branch\My Documents\Power and Propulsion\Prop_Design_Project-1-CRP-20kts.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
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					<parentRef doc-id="812ad799-41ed-417c-bd0e-263a673ec5b8" version-id="76d296ab-9489-41c4-ad34-0538dacf0870" branch-id="00000000-0000-0000-0000-000000000000" revision-num="1" is-modified="false" region-id="1676" href="C:\Documents and Settings\Perry Branch\My Documents\Power and Propulsion\Prop_Design_Project-1-CRP-20kts.xmcd" xmlns="http://schemas.mathsoft.com/provenance10">
						<hash/>
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					<comment xmlns="http://schemas.mathsoft.com/provenance10"/>
					<originComment xmlns="http://schemas.mathsoft.com/provenance10"/>
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						<ml:apply>
							<ml:mult style="default"/>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:real>1.9905</ml:real>
								<ml:id xml:space="preserve">lbf</ml:id>
							</ml:apply>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">sec</ml:id>
									<ml:real>2</ml:real>
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								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">ft</ml:id>
									<ml:real>4</ml:real>
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				<element-image-map>
					<box left="1.5" top="0.75" width="84" height="38.25" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet20"/>
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		<region region-id="39" left="6" top="1035" width="36" height="12.75" align-x="18" align-y="1044" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">h</ml:id>
					<ml:apply>
						<ml:mult style="auto-select"/>
						<ml:real>12</ml:real>
						<ml:id xml:space="preserve">ft</ml:id>
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			</math>
			<rendering item-idref="24"/>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
					<ml:real>.4</ml:real>
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			</math>
			<rendering item-idref="25"/>
		</region>
		<region region-id="41" left="144" top="1035" width="55.5" height="16.5" align-x="184.5" align-y="1044" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
					<ml:real>.8</ml:real>
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			</math>
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			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
					<ml:real>.7</ml:real>
				</ml:define>
			</math>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">You had to find total propulsive efficiency, pump pressure rise, mass flowrate, and total</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">hp delivered.<sp count="2"/>Not necessarily in that order.<sp count="2"/>Sorry about that.</p>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">You could start anywhere, I chose to start with pressure rise:</p>
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							<ml:apply>
								<ml:mult style="default"/>
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											<ml:apply>
												<ml:mult style="default"/>
												<ml:apply>
													<ml:mult style="default"/>
													<ml:real>2</ml:real>
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													<ml:div/>
													<ml:id xml:space="preserve">h</ml:id>
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														<ml:pow/>
														<ml:id xml:space="preserve" subscript="a">V</ml:id>
														<ml:real>2</ml:real>
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							<ml:id xml:space="preserve">ton</ml:id>
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								<ml:id xml:space="preserve">ft</ml:id>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Next I can rearrange the net thrust equation and solve for mass flowrate:</p>
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													<ml:id xml:space="preserve" subscript="a">V</ml:id>
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											<ml:real>1</ml:real>
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							<ml:real>79782.097900917914</ml:real>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Now I can find ideal pump power, since I already gave you pump efficiency we can solve for power</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">delivered.<tab/>
				</p>
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								<ml:apply>
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										<ml:real>2</ml:real>
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										<ml:apply>
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															<ml:id xml:space="preserve" subscript="a">V</ml:id>
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												<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
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													<ml:div/>
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										<ml:plus/>
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											<ml:real>2</ml:real>
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								</ml:apply>
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						<ml:real>0.18648578955321618</ml:real>
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				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">if <tab/>
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			</text>
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		<region region-id="94" left="54" top="1642.5" width="34.5" height="35.25" align-x="66.75" align-y="1662" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">μ</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="a">V</ml:id>
						<ml:id xml:space="preserve" subscript="j">V</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="43"/>
		</region>
		<region region-id="95" left="108" top="1653" width="18.75" height="12.75" align-x="116.25" align-y="1662" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math20">then</ml:id>
			</math>
			<rendering item-idref="44"/>
		</region>
		<region region-id="96" left="24" top="1673.25" width="320.25" height="67.5" align-x="73.5" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="D_ram_1">η</ml:id>
					<ml:apply>
						<ml:mult style="default"/>
						<ml:apply>
							<ml:mult style="default"/>
							<ml:parens>
								<ml:apply>
									<ml:div/>
									<ml:apply>
										<ml:minus/>
										<ml:real>1</ml:real>
										<ml:id xml:space="preserve">t</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:minus/>
										<ml:real>1</ml:real>
										<ml:id xml:space="preserve">w</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:parens>
							<ml:id xml:space="preserve" subscript="pump">η</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:apply>
											<ml:mult style="default"/>
											<ml:id xml:space="preserve" subscript="pump">η</ml:id>
											<ml:real>2</ml:real>
										</ml:apply>
										<ml:id xml:space="preserve">μ</ml:id>
									</ml:apply>
									<ml:parens>
										<ml:apply>
											<ml:minus/>
											<ml:parens>
												<ml:apply>
													<ml:minus/>
													<ml:real>1</ml:real>
													<ml:id xml:space="preserve">μ</ml:id>
												</ml:apply>
											</ml:parens>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:apply>
													<ml:mult style="default"/>
													<ml:id xml:space="preserve" subscript="D_ram">C</ml:id>
													<ml:parens>
														<ml:apply>
															<ml:div/>
															<ml:real>1</ml:real>
															<ml:real>2</ml:real>
														</ml:apply>
													</ml:parens>
												</ml:apply>
												<ml:id xml:space="preserve">μ</ml:id>
											</ml:apply>
										</ml:apply>
									</ml:parens>
								</ml:apply>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:minus/>
										<ml:apply>
											<ml:plus/>
											<ml:real>1</ml:real>
											<ml:id xml:space="preserve" subscript="out_ram">K</ml:id>
										</ml:apply>
										<ml:apply>
											<ml:mult style="auto-select"/>
											<ml:apply>
												<ml:pow/>
												<ml:id xml:space="preserve">μ</ml:id>
												<ml:real>2</ml:real>
											</ml:apply>
											<ml:parens>
												<ml:apply>
													<ml:minus/>
													<ml:real>1</ml:real>
													<ml:id xml:space="preserve" subscript="in_ram">K</ml:id>
												</ml:apply>
											</ml:parens>
										</ml:apply>
									</ml:apply>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:apply>
											<ml:mult style="default"/>
											<ml:real>2</ml:real>
											<ml:id xml:space="preserve">g</ml:id>
										</ml:apply>
										<ml:apply>
											<ml:div/>
											<ml:id xml:space="preserve">h</ml:id>
											<ml:apply>
												<ml:pow/>
												<ml:id xml:space="preserve" subscript="j">V</ml:id>
												<ml:real>2</ml:real>
											</ml:apply>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="45"/>
		</region>
		<region region-id="97" left="360" top="1694.25" width="81.75" height="17.25" align-x="408" align-y="1704" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="D_ram_1">η</ml:id>
					<result xmlns="http://schemas.mathsoft.com/math20">
						<ml:real>0.18648578955321618</ml:real>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="46"/>
		</region>
		<region region-id="117" left="6" top="1760.25" width="78.75" height="12" align-x="15" align-y="1770" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<text use-page-width="false" push-down="false" lock-width="false">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Now for the Flush:</p>
			</text>
		</region>
		<region region-id="118" left="12" top="1804.5" width="342" height="47.25" align-x="56.25" align-y="1830" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">ΔP_flush</ml:id>
					<ml:apply>
						<ml:mult style="default"/>
						<ml:apply>
							<ml:mult style="default"/>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:apply>
									<ml:div/>
									<ml:real font="0">1</ml:real>
									<ml:real>2</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">ρ</ml:id>
							</ml:apply>
							<ml:apply>
								<ml:pow/>
								<ml:id xml:space="preserve" subscript="a">V</ml:id>
								<ml:real>2</ml:real>
							</ml:apply>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:plus/>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:plus/>
										<ml:apply>
											<ml:minus/>
											<ml:apply>
												<ml:pow/>
												<ml:parens>
													<ml:apply>
														<ml:div/>
														<ml:id xml:space="preserve" subscript="j">V</ml:id>
														<ml:id xml:space="preserve" subscript="a">V</ml:id>
													</ml:apply>
												</ml:parens>
												<ml:real>2</ml:real>
											</ml:apply>
											<ml:real>1</ml:real>
										</ml:apply>
										<ml:parens>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:apply>
													<ml:mult style="default"/>
													<ml:real>2</ml:real>
													<ml:id xml:space="preserve">g</ml:id>
												</ml:apply>
												<ml:apply>
													<ml:div/>
													<ml:id xml:space="preserve">h</ml:id>
													<ml:apply>
														<ml:pow/>
														<ml:id xml:space="preserve" subscript="a">V</ml:id>
														<ml:real>2</ml:real>
													</ml:apply>
												</ml:apply>
											</ml:apply>
										</ml:parens>
									</ml:apply>
									<ml:id xml:space="preserve" subscript="in_flush">K</ml:id>
								</ml:apply>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:id xml:space="preserve" subscript="out_flush">K</ml:id>
									<ml:apply>
										<ml:pow/>
										<ml:parens>
											<ml:apply>
												<ml:div/>
												<ml:id xml:space="preserve" subscript="j">V</ml:id>
												<ml:id xml:space="preserve" subscript="a">V</ml:id>
											</ml:apply>
										</ml:parens>
										<ml:real>2</ml:real>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="47"/>
		</region>
		<region region-id="119" left="366" top="1826.25" width="93.75" height="13.5" align-x="408.75" align-y="1836" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">ΔP_flush</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">psi</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math20">
						<unitedValue>
							<ml:real>360.98069278288926</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pounds_per_sq_inch"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="48"/>
		</region>
		<region region-id="217" left="498" top="1820.25" width="102.75" height="33.75" align-x="540.75" align-y="1836" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve">ΔP_flush</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">ton</ml:id>
							<ml:apply>
								<ml:mult style="default"/>
								<ml:apply>
									<ml:pow/>
									<ml:id xml:space="preserve">s</ml:id>
									<ml:real>2</ml:real>
								</ml:apply>
								<ml:id xml:space="preserve">ft</ml:id>
							</ml:apply>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math20">
						<unitedValue>
							<ml:real>836.22314430220183</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="foot" power-numerator="-1"/>
								<unitReference unit="second" power-numerator="-2"/>
								<unitReference unit="ton"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="49"/>
		</region>
		<region region-id="101" left="24" top="1870.5" width="213.75" height="54" align-x="96" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="flowrate_flush">m</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="net">T</ml:id>
						<ml:apply>
							<ml:mult style="default"/>
							<ml:id xml:space="preserve" subscript="a">V</ml:id>
							<ml:parens>
								<ml:apply>
									<ml:minus/>
									<ml:parens>
										<ml:apply>
											<ml:minus/>
											<ml:parens>
												<ml:apply>
													<ml:div/>
													<ml:id xml:space="preserve" subscript="j">V</ml:id>
													<ml:id xml:space="preserve" subscript="a">V</ml:id>
												</ml:apply>
											</ml:parens>
											<ml:real>1</ml:real>
										</ml:apply>
									</ml:parens>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:id xml:space="preserve" subscript="D_flush">C</ml:id>
										<ml:apply>
											<ml:div/>
											<ml:real>1</ml:real>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:parens>
						</ml:apply>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="50"/>
		</region>
		<region region-id="102" left="276" top="1880.25" width="126" height="27.75" align-x="346.5" align-y="1896" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="flowrate_flush">m</ml:id>
					<ml:unitOverride>
						<ml:apply>
							<ml:div/>
							<ml:id xml:space="preserve">lb</ml:id>
							<ml:id xml:space="preserve">s</ml:id>
						</ml:apply>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math20">
						<unitedValue>
							<ml:real>69000.733319712788</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="pound"/>
								<unitReference unit="second" power-numerator="-1"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="51"/>
		</region>
		<region region-id="104" left="30" top="1951.5" width="173.25" height="29.25" align-x="75.75" align-y="1968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="pi_flush">P</ml:id>
					<ml:apply>
						<ml:mult style="default"/>
						<ml:id xml:space="preserve" subscript="flowrate_flush">m</ml:id>
						<ml:parens>
							<ml:apply>
								<ml:div/>
								<ml:id xml:space="preserve">ΔP_flush</ml:id>
								<ml:id xml:space="preserve">ρ</ml:id>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="52"/>
		</region>
		<region region-id="121" left="228" top="1948.5" width="93.75" height="36" align-x="271.5" align-y="1968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="p_flush">P</ml:id>
					<ml:apply>
						<ml:div/>
						<ml:id xml:space="preserve" subscript="pi_flush">P</ml:id>
						<ml:id xml:space="preserve" subscript="pump">η</ml:id>
					</ml:apply>
				</ml:define>
			</math>
			<rendering item-idref="53"/>
		</region>
		<region region-id="122" left="372" top="1959" width="106.5" height="22.5" align-x="414" align-y="1974" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:eval xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="p_flush">P</ml:id>
					<ml:unitOverride>
						<ml:id xml:space="preserve">hp</ml:id>
					</ml:unitOverride>
					<result xmlns="http://schemas.mathsoft.com/math20">
						<unitedValue>
							<ml:real>113142.84077223908</ml:real>
							<unitMonomial xmlns="http://schemas.mathsoft.com/units10">
								<unitReference unit="horsepower"/>
							</unitMonomial>
						</unitedValue>
					</result>
				</ml:eval>
			</math>
			<rendering item-idref="54"/>
		</region>
		<region region-id="107" left="30" top="2001.75" width="364.5" height="84.75" align-x="60" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
			<math optimize="false" disable-calc="false">
				<ml:define xmlns:ml="http://schemas.mathsoft.com/math20">
					<ml:id xml:space="preserve" subscript="D_f">η</ml:id>
					<ml:apply>
						<ml:mult style="default"/>
						<ml:apply>
							<ml:mult style="default"/>
							<ml:parens>
								<ml:apply>
									<ml:div/>
									<ml:apply>
										<ml:minus/>
										<ml:real>1</ml:real>
										<ml:id xml:space="preserve">t</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:minus/>
										<ml:real>1</ml:real>
										<ml:id xml:space="preserve">w</ml:id>
									</ml:apply>
								</ml:apply>
							</ml:parens>
							<ml:id xml:space="preserve" subscript="pump">η</ml:id>
						</ml:apply>
						<ml:parens>
							<ml:apply>
								<ml:div/>
								<ml:apply>
									<ml:mult style="default"/>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:real>2</ml:real>
										<ml:id xml:space="preserve" subscript="pump">η</ml:id>
									</ml:apply>
									<ml:parens>
										<ml:apply>
											<ml:minus/>
											<ml:parens>
												<ml:apply>
													<ml:minus/>
													<ml:parens>
														<ml:apply>
															<ml:div/>
															<ml:id xml:space="preserve" subscript="j">V</ml:id>
															<ml:id xml:space="preserve" subscript="a">V</ml:id>
														</ml:apply>
													</ml:parens>
													<ml:real>1</ml:real>
												</ml:apply>
											</ml:parens>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:id xml:space="preserve" subscript="D_flush">C</ml:id>
												<ml:apply>
													<ml:div/>
													<ml:real>1</ml:real>
													<ml:real>2</ml:real>
												</ml:apply>
											</ml:apply>
										</ml:apply>
									</ml:parens>
								</ml:apply>
								<ml:apply>
									<ml:plus/>
									<ml:apply>
										<ml:plus/>
										<ml:apply>
											<ml:plus/>
											<ml:apply>
												<ml:minus/>
												<ml:apply>
													<ml:pow/>
													<ml:parens>
														<ml:apply>
															<ml:div/>
															<ml:id xml:space="preserve" subscript="j">V</ml:id>
															<ml:id xml:space="preserve" subscript="a">V</ml:id>
														</ml:apply>
													</ml:parens>
													<ml:real>2</ml:real>
												</ml:apply>
												<ml:real>1</ml:real>
											</ml:apply>
											<ml:apply>
												<ml:mult style="default"/>
												<ml:real>2</ml:real>
												<ml:parens>
													<ml:apply>
														<ml:mult style="default"/>
														<ml:id xml:space="preserve">g</ml:id>
														<ml:apply>
															<ml:div/>
															<ml:id xml:space="preserve">h</ml:id>
															<ml:apply>
																<ml:pow/>
																<ml:id xml:space="preserve" subscript="a">V</ml:id>
																<ml:real>2</ml:real>
															</ml:apply>
														</ml:apply>
													</ml:apply>
												</ml:parens>
											</ml:apply>
										</ml:apply>
										<ml:id xml:space="preserve" subscript="in_flush">K</ml:id>
									</ml:apply>
									<ml:apply>
										<ml:mult style="default"/>
										<ml:id xml:space="preserve" subscript="out_flush">K</ml:id>
										<ml:apply>
											<ml:pow/>
											<ml:parens>
												<ml:apply>
													<ml:div/>
													<ml:id xml:space="preserve" subscript="j">V</ml:id>
													<ml:id xml:space="preserve" subscript="a">V</ml:id>
												</ml:apply>
											</ml:parens>
											<ml:real>2</ml:real>
										</ml:apply>
									</ml:apply>
								</ml:apply>
							</ml:apply>
						</ml:parens>
					</ml:apply>
				</ml:define>
			</math>
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