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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> MOTOR SPEED CALCULATION </text> </region> <region region-id="1157" left="246" top="15" width="58.8" height="12.6" align-x="265.8" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">rev</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">rad</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="833" left="330" top="8.4" width="51.6" height="27" align-x="351.6" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> MAXON 221024 - 5.0V motor,<sp count="2"/>RE-max 21mm,<sp count="2"/>3.5W<sp count="2"/> </text> </region> <region region-id="894" left="12" top="87" width="48.6" height="10.8" align-x="12" align-y="96" 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"> MOTOR:<sp count="5"/> </text> </region> <region region-id="1055" left="270" top="87" width="93.6" height="10.8" align-x="270" align-y="96" 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"> <c val="#008080">no load speed voltage</c> </text> </region> <region region-id="1056" left="372" top="87" width="47.4" height="14.4" align-x="389.4" align-y="96" 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/math30"> <ml:id xml:space="preserve" subscript="0">V</ml:id> <ml:apply> <ml:mult/> <ml:real>5.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="838" left="12" top="117" width="60.6" height="10.8" align-x="12" align-y="126" 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"> <c val="#008080">no load speed</c> </text> </region> <region region-id="839" left="114" top="110.4" width="66.6" height="27" align-x="131.4" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" 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use-page-width="false" push-down="false" lock-width="true"> Torque (Static dry) = 40 ozf in. Torque (both Static and Dyn) at 100psi Hydraulic press. = 44 - 48 ozf in. ASSUME:<sp count="2"/>Delta of 8 ozf in / 100psi Therefore at 450psi Torque required to turn the valve will be = 40+(4*8) = 82 ozf in. 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</ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">ozf</ml:id> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="1175" left="696" top="399" width="78.6" height="14.4" align-x="729" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out450">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> 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xml:space="preserve">ozf</ml:id> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>750</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">ozf</ml:id> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="1193" left="1008" top="399" width="78.6" height="14.4" align-x="1041" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out750">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ozf</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>150.00000000000003</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> <unitReference unit="ounce_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="1194" left="486" top="428.4" width="175.2" height="46.2" align-x="518.4" align-y="444" 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/math30"> <ml:id xml:space="preserve" subscript="out15">T</ml:id> <ml:apply> <ml:mult/> <ml:real>1.5</ml:real> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>40</ml:real> <ml:id xml:space="preserve">ozf</ml:id> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>15</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">ozf</ml:id> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="1195" left="684" top="435" width="77.4" height="14.4" align-x="713.4" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out15">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ozf</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>61.800000000000004</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> <unitReference unit="ounce_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="1087" left="60" top="453" width="86.4" height="14.4" align-x="83.4" align-y="462" 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/math30"> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>869.98</ml:real> <ml:id xml:space="preserve">mN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="1198" left="150" top="471" width="55.2" height="14.4" align-x="173.4" align-y="480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:id xml:space="preserve" subscript="out15">T</ml:id> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="856" left="6" top="507" width="25.2" height="10.8" align-x="6" align-y="516" 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"> REQ: </text> </region> <region region-id="857" left="60" top="507" width="225.6" height="10.8" align-x="60" align-y="516" 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"> Find the valve stem speed of rotation @ 5.0V. @ load<sp count="2"/> </text> </region> <region region-id="1071" left="12" top="537" width="87" height="10.8" align-x="12" align-y="546" 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"> <c val="#008080">actual motor voltage</c> </text> </region> <region region-id="1072" left="108" top="537" width="63.6" height="14.4" align-x="141.6" align-y="546" 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/math30"> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:apply> <ml:mult/> <ml:real>5.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="1083" left="12" top="579" width="90" height="10.8" align-x="12" align-y="588" 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"> actual no load speed </text> </region> <region region-id="1081" left="150" top="570.6" width="87.6" height="30.6" align-x="187.2" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:id xml:space="preserve" subscript="0">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="0">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="1082" left="336" top="572.4" width="108" height="27" align-x="372" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5740</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="29"/> </region> <region region-id="1085" left="12" top="621" width="95.4" height="10.8" align-x="24" align-y="630" 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"> Motor Speed @ Load: </text> </region> <region region-id="1086" left="150" top="612.6" width="102.6" height="30.6" align-x="166.2" align-y="630" 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/math30"> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ωT</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="1089" left="336" top="616.2" width="86.4" height="19.2" align-x="351" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4993.80469025404</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="1090" left="12" top="669" width="102.6" height="10.8" align-x="12" align-y="678" 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"> GearBox Output speed:<sp count="2"/> </text> </region> <region region-id="1091" left="156" top="660.6" width="44.4" height="28.8" align-x="180.6" align-y="678" 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/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="1093" left="336" top="669" width="76.2" height="14.4" align-x="359.4" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>13.496769433119027</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="916" left="6" top="717" width="125.4" height="10.8" align-x="6" align-y="726" 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"> 1/4 Turn Valve Rotation Time : </text> </region> <region region-id="917" left="174" top="710.4" width="129" height="28.8" align-x="212.4" align-y="726" 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/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="out">ω</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">sec</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> <ml:real>.25</ml:real> </ml:apply> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="964" left="366" top="717" width="72" height="12.6" align-x="403.2" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">sec</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.1113770650324866</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="35"/> </region> <region region-id="1120" left="12" top="771" width="90.6" height="10.8" align-x="12" align-y="780" 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"> Torque at the motor: </text> </region> <region region-id="1121" left="174" top="762.6" width="62.4" height="30.6" align-x="205.8" align-y="780" 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/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="1122" left="342" top="771" width="88.2" height="14.4" align-x="372.6" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.4070816443418064</ml:real> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="1111" left="12" top="819" width="145.8" height="10.8" align-x="12" align-y="828" 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"> <c val="#00f">required current for desired torque</c> </text> </region> <region region-id="1112" left="204" top="810.6" width="45.6" height="30.6" align-x="214.2" align-y="828" 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/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="t">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="1113" left="384" top="819" width="52.2" height="12.6" align-x="393" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172843612" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172844332" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">add56f4945a597cfb2ccd653a9112dea</contentHash> <ml:id xml:space="preserve">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.29247650599535918</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"> <element-image-map> <box left="1.2" top="0.6" width="2.4" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1117" left="12" top="861" width="120.6" height="10.8" align-x="12" align-y="870" 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"> <c val="#00f">total motor current at load:<sp count="2"/> </c> </text> </region> <region region-id="1118" left="204" top="861" width="44.4" height="14.4" align-x="219.6" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172342476" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172843612" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">e239ad0bf9631540e5a8872cdf9d4051</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">I</ml:id> <ml:id xml:space="preserve" subscript="0">I</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="40"> <element-image-map> <box left="1.2" top="0.6" width="43.2" height="13.2" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1119" left="384" top="861" width="57.6" height="14.4" align-x="398.4" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172843612" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172342476" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">29567d7bdb7f3adfa188505b5e0721e6</contentHash> <ml:id xml:space="preserve" subscript="m">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.31357650599535919</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"> <element-image-map> <box left="1.2" top="0.6" width="7.8" height="13.2" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1138" left="12" top="897" width="114" height="10.8" align-x="12" align-y="906" 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"> power dissipated by motor </text> </region> <region region-id="1140" left="48" top="927" width="145.8" height="10.8" align-x="48" align-y="936" 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"> Joule losses dissipated by motor </text> </region> <region region-id="1141" left="210" top="922.2" width="48" height="19.2" align-x="224.4" 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/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="a">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="1149" left="360" top="927" width="61.8" height="14.4" align-x="373.2" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.21632649524696662</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <region region-id="1146" left="48" top="957" width="156" height="10.8" align-x="48" align-y="966" 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"> Mech losses dissipated by motor </text> </region> <region region-id="1147" left="210" top="957" width="61.2" height="14.4" align-x="226.2" align-y="966" 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/math30"> <ml:id xml:space="preserve" subscript="f">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="l">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="1151" left="360" top="963" width="63.6" height="14.4" align-x="375" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="f">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.2587833562079962</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> <region region-id="1161" left="342" top="993" width="81.6" height="14.4" align-x="375" align-y="1002" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:id xml:space="preserve" subscript="f">P</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.4751098514549628</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="1094" left="72" top="1026" width="306" height="4.2" align-x="72" align-y="1026" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="47" display-width="304.8" display-height="3"/> </picture> <rendering item-idref="48"/> </region> <region region-id="1095" left="12" top="1059" width="27" height="10.8" align-x="12" align-y="1068" 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"> REQ: </text> </region> <region region-id="1096" left="66" top="1059" width="237" height="10.8" align-x="66" align-y="1068" 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"> Find the valve stem speed of rotation @ 4.0V. @ load<sp count="2"/> </text> </region> <region region-id="1097" left="18" top="1089" width="87" height="10.8" align-x="18" align-y="1098" 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"> <c val="#008080">actual motor voltage</c> </text> </region> <region region-id="1098" left="114" top="1089" width="63.6" height="14.4" align-x="147.6" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:apply> <ml:mult/> <ml:real>4.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="1099" left="18" top="1131" width="90" height="10.8" align-x="18" align-y="1140" 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"> actual no load speed </text> </region> <region region-id="1100" left="156" top="1122.6" width="87.6" height="30.6" align-x="193.2" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:id xml:space="preserve" subscript="0">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="0">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="1101" left="342" top="1124.4" width="108" height="27" align-x="378" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4592</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="51"/> </region> <region region-id="1102" left="18" top="1173" width="98.4" height="10.8" align-x="30" align-y="1182" 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"> Motor Speed @ Load: </text> </region> <region region-id="1103" left="156" top="1164.6" width="102.6" height="30.6" align-x="172.2" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ωT</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="52"/> </region> <region region-id="1104" left="342" top="1168.2" width="86.4" height="19.2" align-x="357" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3845.8046902540405</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> <region region-id="1105" left="18" top="1245" width="108.6" height="10.8" align-x="18" align-y="1254" 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"> GearBox Output speed:<sp count="2"/> </text> </region> <region region-id="1106" left="162" top="1236.6" width="44.4" height="28.8" align-x="186.6" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="1107" left="342" top="1245" width="76.2" height="14.4" align-x="365.4" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>10.394066730416327</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="1108" left="12" top="1293" width="133.8" height="10.8" align-x="12" align-y="1302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" 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<ml:real>18.7</ml:real> <ml:id xml:space="preserve">mN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="899" left="12" top="195" width="67.8" height="10.8" align-x="12" align-y="204" 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"> <c val="#008080">torque constant</c> </text> </region> <region region-id="896" left="108" top="188.4" width="72.6" height="27" align-x="124.8" align-y="204" 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/math30"> <ml:id xml:space="preserve" subscript="t">K</ml:id> <ml:apply> <ml:mult/> <ml:real>8.23</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:id xml:space="preserve">A</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="1059" left="270" top="195" width="67.8" height="10.8" align-x="270" align-y="204" 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"> <c val="#008080">speed constant</c> </text> </region> <region region-id="1060" left="366" top="188.4" width="66.6" height="27" align-x="384" align-y="204" 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/math30"> <ml:id xml:space="preserve" subscript="s">K</ml:id> <ml:apply> <ml:mult/> <ml:real>1160</ml:real> <ml:apply> <ml:div/> <ml:id 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xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="881" left="12" top="267" width="86.4" height="10.8" align-x="12" align-y="276" 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"> <c val="#008080">armature resistance</c> </text> </region> <region region-id="882" left="114" top="267" width="56.4" height="14.4" align-x="130.8" align-y="276" 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/math30"> <ml:id xml:space="preserve" subscript="a">R</ml:id> <ml:apply> <ml:mult/> <ml:real>2.2</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="1167" left="12" top="291" width="259.8" height="10.8" align-x="12" align-y="300" 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"> Gearbox,<sp count="2"/>GP22A, (0.5 - 1.0 Nm out),<sp count="2"/>110340, 370:1 </text> </region> <region region-id="1186" left="618" top="309" width="162" height="21.6" align-x="631.8" align-y="318" 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"> 110340 is a 4 stage 49% eff gear head </text> </region> <region region-id="1168" left="12" top="315" width="80.4" height="10.8" align-x="12" align-y="324" 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"> <c val="#008080">Gear Ratio</c> </text> </region> <region region-id="1169" left="120" top="315" width="37.2" height="12.6" align-x="134.4" align-y="324" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:real>370</ml:real> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="1170" left="270" top="315" width="83.4" height="10.8" align-x="270" align-y="324" 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"> <c val="#008080">gearhead efficiency</c> </text> </region> <region region-id="1171" left="372" top="315" width="42" height="14.4" align-x="388.8" align-y="324" show-border="false" 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use-page-width="false" push-down="false" lock-width="true"> Torque (Static dry) = 40 ozf in. Torque (both Static and Dyn) at 100psi Hydraulic press. = 44 - 48 ozf in. ASSUME:<sp count="2"/>Delta of 8 ozf in / 100psi Therefore at 450psi Torque required to turn the valve will be = 40+(4*8) = 82 ozf in. ASSUME: Safety Factor of 1.5 Then required Torque = 1.5*82 = 123 ozf in = 7.7 lbf in = 869.98 mNm </text> </region> <region region-id="1172" left="498" top="392.4" width="178.8" height="46.2" align-x="532.2" align-y="408" 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/math30"> <ml:id xml:space="preserve" subscript="out450">T</ml:id> <ml:apply> <ml:mult/> <ml:real>1.5</ml:real> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>40</ml:real> <ml:id xml:space="preserve">ozf</ml:id> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>450</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:id xml:space="preserve">ozf</ml:id> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>100</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="1175" left="696" top="399" width="78.6" height="14.4" align-x="729" align-y="408" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out450">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> 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</unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="24"/> </region> <region region-id="1087" left="60" top="453" width="86.4" height="14.4" align-x="83.4" align-y="462" 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/math30"> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>869.98</ml:real> <ml:id xml:space="preserve">mN</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="1198" left="150" top="471" width="55.2" height="14.4" align-x="173.4" align-y="480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:id xml:space="preserve" subscript="out15">T</ml:id> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="856" left="6" top="507" width="25.2" height="10.8" align-x="6" align-y="516" 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"> REQ: </text> </region> <region region-id="857" left="60" top="507" width="225.6" height="10.8" align-x="60" align-y="516" 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"> Find the valve stem speed of rotation @ 5.0V. @ load<sp count="2"/> </text> </region> <region region-id="1071" left="12" top="537" width="87" height="10.8" align-x="12" align-y="546" 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"> <c val="#008080">actual motor voltage</c> </text> </region> <region region-id="1072" left="108" top="537" width="63.6" height="14.4" align-x="141.6" align-y="546" 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/math30"> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:apply> <ml:mult/> <ml:real>5.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="1083" left="12" top="579" width="90" height="10.8" align-x="12" align-y="588" 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"> actual no load speed </text> </region> <region region-id="1081" left="150" top="570.6" width="87.6" height="30.6" align-x="187.2" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:id xml:space="preserve" subscript="0">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="0">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="1082" left="336" top="572.4" width="108" height="27" align-x="372" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5740</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="29"/> </region> <region region-id="1085" left="12" top="621" width="95.4" height="10.8" align-x="24" align-y="630" 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"> Motor Speed @ Load: </text> </region> <region region-id="1086" left="150" top="612.6" width="102.6" height="30.6" align-x="166.2" align-y="630" 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/math30"> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ωT</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="1089" left="336" top="616.2" width="86.4" height="19.2" align-x="351" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4993.80469025404</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="1090" left="12" top="669" width="102.6" height="10.8" align-x="12" align-y="678" 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"> GearBox Output speed:<sp count="2"/> </text> </region> <region region-id="1091" left="156" top="660.6" width="44.4" height="28.8" align-x="180.6" align-y="678" 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/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="1093" left="336" top="669" width="76.2" height="14.4" align-x="359.4" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>13.496769433119027</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="916" left="6" top="717" width="125.4" height="10.8" align-x="6" align-y="726" 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"> 1/4 Turn Valve Rotation Time : </text> </region> <region region-id="917" left="174" top="710.4" width="129" height="28.8" align-x="212.4" align-y="726" 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/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="out">ω</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">sec</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> <ml:real>.25</ml:real> </ml:apply> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="964" left="366" top="717" width="72" height="12.6" align-x="403.2" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">sec</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.1113770650324866</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="1" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="35"/> </region> <region region-id="1120" left="12" top="771" width="90.6" height="10.8" align-x="12" align-y="780" 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"> Torque at the motor: </text> </region> <region region-id="1121" left="174" top="762.6" width="62.4" height="30.6" align-x="205.8" align-y="780" 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/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="out">T</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="1122" left="342" top="771" width="88.2" height="14.4" align-x="372.6" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">mN</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.4070816443418064</ml:real> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="1111" left="12" top="819" width="145.8" height="10.8" align-x="12" align-y="828" 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"> <c val="#00f">required current for desired torque</c> </text> </region> <region region-id="1112" left="204" top="810.6" width="45.6" height="30.6" align-x="214.2" align-y="828" 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/math30"> <ml:id xml:space="preserve">I</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="t">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="1113" left="384" top="819" width="52.2" height="12.6" align-x="393" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172843612" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172844332" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">add56f4945a597cfb2ccd653a9112dea</contentHash> <ml:id xml:space="preserve">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.29247650599535918</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"> <element-image-map> <box left="1.2" top="0.6" width="2.4" height="11.4" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1117" left="12" top="861" width="120.6" height="10.8" align-x="12" align-y="870" 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"> <c val="#00f">total motor current at load:<sp count="2"/> </c> </text> </region> <region region-id="1118" left="204" top="861" width="44.4" height="14.4" align-x="219.6" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172342476" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172843612" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">e239ad0bf9631540e5a8872cdf9d4051</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">I</ml:id> <ml:id xml:space="preserve" subscript="0">I</ml:id> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="40"> <element-image-map> <box left="1.2" top="0.6" width="43.2" height="13.2" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1119" left="384" top="861" width="57.6" height="14.4" align-x="398.4" align-y="870" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:provenance expr-id="1"> <originRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172843612" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="00000000-0000-0000-0000-000000000000" version-id="00000000-0000-0000-0000-000000000000" branch-id="00000000-0000-0000-0000-000000000000" revision-num="172342476" is-modified="false" region-id="0" href="C:\Jon_At_MBARI\MCadfile_14\motors.mcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">29567d7bdb7f3adfa188505b5e0721e6</contentHash> <ml:id xml:space="preserve" subscript="m">I</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.31357650599535919</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"> <element-image-map> <box left="1.2" top="0.6" width="7.8" height="13.2" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="1138" left="12" top="897" width="114" height="10.8" align-x="12" align-y="906" 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"> power dissipated by motor </text> </region> <region region-id="1140" left="48" top="927" width="145.8" height="10.8" align-x="48" align-y="936" 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"> Joule losses dissipated by motor </text> </region> <region region-id="1141" left="210" top="922.2" width="48" height="19.2" align-x="224.4" 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/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="m">I</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="a">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="1149" left="360" top="927" width="61.8" height="14.4" align-x="373.2" 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:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="j">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.21632649524696662</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="43"/> </region> <region region-id="1146" left="48" top="957" width="156" height="10.8" align-x="48" align-y="966" 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"> Mech losses dissipated by motor </text> </region> <region region-id="1147" left="210" top="957" width="61.2" height="14.4" align-x="226.2" align-y="966" 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/math30"> <ml:id xml:space="preserve" subscript="f">P</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="motor">T</ml:id> <ml:id xml:space="preserve" subscript="l">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="1151" left="360" top="963" width="63.6" height="14.4" align-x="375" align-y="972" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="f">P</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">watt</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.2587833562079962</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="45"/> </region> 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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#008080">actual motor voltage</c> </text> </region> <region region-id="1098" left="114" top="1089" width="63.6" height="14.4" align-x="147.6" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:apply> <ml:mult/> <ml:real>4.0</ml:real> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="1099" left="18" top="1131" width="90" height="10.8" align-x="18" align-y="1140" 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"> actual no load speed </text> </region> <region region-id="1100" left="156" top="1122.6" width="87.6" height="30.6" align-x="193.2" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="actual">V</ml:id> <ml:id xml:space="preserve" subscript="0">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="0">ω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="50"/> </region> <region region-id="1101" left="342" top="1124.4" width="108" height="27" align-x="378" align-y="1140" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0actual">ω</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4592</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="true" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </resultFormat> 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<ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve" subscript="g">η</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="52"/> </region> <region region-id="1104" left="342" top="1168.2" width="86.4" height="19.2" align-x="357" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3845.8046902540405</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="53"/> </region> <region region-id="1105" left="18" top="1245" width="108.6" height="10.8" align-x="18" align-y="1254" 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"> GearBox Output speed:<sp count="2"/> </text> </region> <region region-id="1106" left="162" top="1236.6" width="44.4" height="28.8" align-x="186.6" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="l">ω</ml:id> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="54"/> </region> <region region-id="1107" left="342" top="1245" width="76.2" height="14.4" align-x="365.4" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="out">ω</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>10.394066730416327</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="55"/> </region> <region region-id="1108" left="12" top="1293" width="133.8" height="10.8" align-x="12" align-y="1302" 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"> 1/4 Turn Valve Rotation Time : </text> </region> <region region-id="1109" left="180" top="1286.4" width="129" height="28.8" align-x="218.4" align-y="1302" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">RotTime</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="out">ω</ml:id> </ml:apply> <ml:real>60</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">sec</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> <ml:real>.25</ml:real> </ml:apply> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="56"/> </region> <region region-id="1163" left="354" 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