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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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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 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region-id="694" left="78" top="360" width="306" height="4.2" align-x="78" align-y="360" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="14" display-width="304.8" display-height="3"/> </picture> <rendering item-idref="15"/> </region> <region region-id="695" left="12" top="375" width="33.6" height="10.8" align-x="12" align-y="384" 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"> GIVEN: </text> </region> <region region-id="698" left="60" top="375" width="408" height="64.8" align-x="60" align-y="384" 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 (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="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="16"/> </region> <region region-id="856" left="6" top="489" width="25.2" height="10.8" align-x="6" align-y="498" 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="489" width="225.6" height="10.8" align-x="60" align-y="498" 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="519" width="87" height="10.8" align-x="12" align-y="528" 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="519" width="63.6" height="14.4" align-x="141.6" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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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="18"/> </region> <region region-id="1082" left="336" top="554.4" width="108" height="27" align-x="372" align-y="570" 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="19"/> </region> <region region-id="1085" left="12" top="603" width="95.4" height="10.8" align-x="24" align-y="612" 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="594.6" width="102.6" height="30.6" align-x="166.2" align-y="612" 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="20"/> </region> <region region-id="1089" left="336" top="598.2" width="86.4" height="19.2" align-x="351" align-y="612" 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>1546.347379878712</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="1090" left="12" top="651" width="102.6" height="10.8" align-x="12" align-y="660" 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="642.6" width="44.4" height="28.8" align-x="180.6" align-y="660" 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="22"/> </region> <region region-id="1093" left="336" top="651" width="76.2" height="14.4" align-x="359.4" align-y="660" 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>14.186673209896441</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="916" left="6" top="699" width="125.4" height="10.8" align-x="6" align-y="708" 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="692.4" width="129" height="28.8" align-x="212.4" align-y="708" 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="24"/> </region> <region region-id="964" left="366" top="699" width="72" height="12.6" align-x="403.2" align-y="708" 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>1.0573303394016431</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="25"/> </region> <region region-id="1120" left="12" top="753" width="90.6" height="10.8" align-x="12" align-y="762" 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="744.6" width="62.4" height="30.6" align-x="205.8" align-y="762" 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="26"/> </region> <region region-id="1122" left="342" top="753" width="93" height="14.4" align-x="372.6" align-y="762" 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>13.527911677810605</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="1111" left="12" top="801" width="145.8" height="10.8" align-x="12" align-y="810" 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="792.6" width="45.6" height="30.6" align-x="214.2" align-y="810" 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="28"/> </region> <region region-id="1113" left="384" top="801" width="52.2" height="12.6" align-x="393" align-y="810" 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="554018268" 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="554018508" 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>1.6437316740960637</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"> <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="843" width="120.6" height="10.8" align-x="12" align-y="852" 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="843" width="44.4" height="14.4" align-x="219.6" align-y="852" 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="249653244" 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="554018268" 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="30"> <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="843" width="57.6" height="14.4" align-x="398.4" align-y="852" 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="554018268" 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="249653244" 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>1.6648316740960636</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"> <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="879" width="114" height="10.8" align-x="12" align-y="888" 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="909" width="145.8" height="10.8" align-x="48" align-y="918" 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="904.2" width="48" height="19.2" align-x="224.4" align-y="918" 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="32"/> </region> <region region-id="1149" left="360" top="909" width="61.8" height="14.4" align-x="373.2" align-y="918" 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>6.0976619067617044</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="1146" left="48" top="939" width="156" height="10.8" align-x="48" align-y="948" 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="939" width="61.2" height="14.4" align-x="226.2" align-y="948" 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="34"/> </region> <region region-id="1151" left="360" top="945" width="63.6" height="14.4" align-x="375" align-y="954" 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>2.1906169308791759</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="1161" left="342" top="975" width="81.6" height="14.4" align-x="375" align-y="984" 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>8.2882788376408811</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="1094" left="72" top="1008" width="306" height="4.2" align-x="72" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="37" display-width="304.8" display-height="3"/> </picture> <rendering item-idref="38"/> </region> <region region-id="1095" left="12" top="1041" width="27" height="10.8" align-x="12" align-y="1050" 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="1041" width="237" height="10.8" align-x="66" align-y="1050" 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="1071" width="87" height="10.8" align-x="18" align-y="1080" 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="1071" width="63.6" height="14.4" align-x="147.6" align-y="1080" 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="39"/> </region> <region region-id="1099" left="18" top="1113" width="90" height="10.8" align-x="18" align-y="1122" 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="1104.6" width="87.6" height="30.6" align-x="193.2" align-y="1122" 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> 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<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="46"/> </region> <region region-id="1163" left="354" top="1275" width="72" height="12.6" align-x="391.2" align-y="1284" 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> 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disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">ω</ml:id> <ml:apply> <ml:mult/> <ml:real>5740.</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="1057" left="270" top="117" width="64.8" height="10.8" align-x="270" 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 current</c> </text> </region> <region region-id="1058" left="366" top="117" width="55.8" height="14.4" align-x="379.8" align-y="126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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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 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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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</region> <region region-id="857" left="60" top="489" width="225.6" height="10.8" align-x="60" align-y="498" 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="519" width="87" height="10.8" align-x="12" align-y="528" 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="519" width="63.6" height="14.4" align-x="141.6" align-y="528" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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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="18"/> </region> <region region-id="1082" left="336" top="554.4" width="108" height="27" align-x="372" align-y="570" 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="19"/> </region> <region region-id="1085" left="12" top="603" width="95.4" height="10.8" align-x="24" align-y="612" 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="594.6" width="102.6" height="30.6" align-x="166.2" align-y="612" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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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>1546.347379878712</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="1090" left="12" top="651" width="102.6" height="10.8" align-x="12" align-y="660" 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="642.6" width="44.4" height="28.8" align-x="180.6" align-y="660" 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="22"/> </region> <region region-id="1093" left="336" top="651" width="76.2" height="14.4" align-x="359.4" align-y="660" 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>14.186673209896441</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="916" left="6" top="699" width="125.4" height="10.8" align-x="6" align-y="708" 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="692.4" width="129" height="28.8" align-x="212.4" align-y="708" 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="24"/> </region> <region region-id="964" left="366" top="699" width="72" height="12.6" align-x="403.2" align-y="708" 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>1.0573303394016431</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="25"/> </region> <region region-id="1120" left="12" top="753" width="90.6" height="10.8" align-x="12" align-y="762" 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="744.6" width="62.4" height="30.6" align-x="205.8" align-y="762" 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="26"/> </region> <region region-id="1122" left="342" top="753" width="93" height="14.4" align-x="372.6" align-y="762" 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>13.527911677810605</ml:real> </result> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="1111" left="12" top="801" width="145.8" height="10.8" align-x="12" align-y="810" 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="792.6" width="45.6" height="30.6" align-x="214.2" align-y="810" 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="28"/> </region> <region region-id="1113" left="384" top="801" width="52.2" height="12.6" align-x="393" align-y="810" 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="554018268" 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="554018508" 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>1.6437316740960637</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"> <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="843" width="120.6" height="10.8" align-x="12" align-y="852" 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="843" width="44.4" height="14.4" align-x="219.6" align-y="852" 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="249653244" 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="554018268" 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="30"> <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="843" width="57.6" height="14.4" align-x="398.4" align-y="852" 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="554018268" 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="249653244" 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>1.6648316740960636</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="31"> <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="879" width="114" height="10.8" align-x="12" align-y="888" 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="909" width="145.8" height="10.8" align-x="48" align-y="918" 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="904.2" width="48" height="19.2" align-x="224.4" align-y="918" 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="32"/> </region> <region region-id="1149" left="360" top="909" width="61.8" height="14.4" align-x="373.2" align-y="918" 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>6.0976619067617044</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="33"/> </region> <region region-id="1146" left="48" top="939" width="156" height="10.8" align-x="48" align-y="948" 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="939" width="61.2" height="14.4" align-x="226.2" align-y="948" 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="34"/> </region> <region region-id="1151" left="360" top="945" width="63.6" height="14.4" align-x="375" align-y="954" 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>2.1906169308791759</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="1161" left="342" top="975" width="81.6" height="14.4" align-x="375" align-y="984" 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>8.2882788376408811</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="watt"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="36"/> </region> <region region-id="1094" left="72" top="1008" width="306" height="4.2" align-x="72" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="37" display-width="304.8" display-height="3"/> </picture> <rendering item-idref="38"/> </region> <region region-id="1095" left="12" top="1041" width="27" height="10.8" align-x="12" align-y="1050" 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="1041" width="237" height="10.8" align-x="66" align-y="1050" 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="1071" width="87" height="10.8" align-x="18" align-y="1080" 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="1071" width="63.6" height="14.4" align-x="147.6" align-y="1080" 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="39"/> </region> <region region-id="1099" left="18" top="1113" width="90" height="10.8" align-x="18" align-y="1122" 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="1104.6" width="87.6" height="30.6" align-x="193.2" align-y="1122" 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="40"/> </region> <region region-id="1101" left="342" top="1106.4" width="108" height="27" align-x="378" align-y="1122" 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="41"/> </region> <region region-id="1102" left="18" top="1155" width="98.4" height="10.8" align-x="30" align-y="1164" 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="1146.6" width="102.6" height="30.6" align-x="172.2" align-y="1164" 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="42"/> </region> <region region-id="1104" left="342" top="1155" width="72.6" height="14.4" align-x="357" align-y="1164" 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" 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