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					<sp count="4"/>*<sp count="2"/>maximum flow=400 L/min</p>
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					<sp count="4"/>* minimum flow (corresponding to height of rectangular weir) = 40 L/min</p>
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					<sp count="4"/>* linear proportionality = 20 L/min/cm</p>
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					<sp count="3"/>1. Write functions in MathCAD that design all the geometry of the Sutro weir given these constraints. The functions must have the parameters that could potentially be varied as inputs.</p>
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					<sp count="3"/>2. Create a graph in MathCAD that draws the shape of the Sutro weir (including the rectangular portion).</p>
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					<sp count="3"/>3. Use the graph formatting options to hide the arguments and to add appropriate x and y axis labels. Change the display units to cm (by dividing the arguments by cm) and include the units in the labels.</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">What fraction of the total flow goes throught the rectangular portion of the Sutro weir at the maximum design flow rate?</p>
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		<region region-id="69" left="12" top="1532.25" width="427.5" height="84" align-x="21" align-y="1542" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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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">How could we estimate the maximum flowrate for a Sutro Weir installed in a pipe?</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The weir will begin to fail if the water isn't experiencing free fall (or when the weir isn't discharging into air).</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"/>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">We need to calculate the average vertical velocity at the base of the Sutro Weir.</p>
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Take the total flow rate and divide by the average velocity to get the minimum pipe cross sectional area.</p>
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								<ml:real>3</ml:real>
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					<ml:id xml:space="preserve">ρ</ml:id>
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						<ml:real>1000</ml:real>
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								<ml:real>3</ml:real>
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		</region>
		<region region-id="127" left="636" top="1664.25" width="356.25" height="12" align-x="650.25" align-y="1674" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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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">vertical velocity of the water from any height when it reaches the bottom of the weir</p>
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		<region region-id="118" left="552" top="1669.5" width="66.75" height="18" align-x="562.5" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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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">x</ml:id>
								<ml:id xml:space="preserve" subscript="base">s</ml:id>
							</ml:apply>
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				</ml:apply>
			</math>
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		<region region-id="134" left="642" top="1688.25" width="197.25" height="12" align-x="657.75" align-y="1698" 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="true">
				<p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">velocity through the weir in the vena contracta</p>
			</text>
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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">is the effective area of a differential weir element as a function of height given the effective of the vena contracta</p>
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