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Originally Posted by JesseK
Is the "Power" required to drive the impeller electrical watts or mechanical watts?
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The impeller is driven mechanically by the two motors (through their respective gearboxes). The formula
watts = (rpm^2)/81500 gives the mechanical power input to the impeller required to spin it at the specified rpm.
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Also, what are the units on the 81500 constant? I only ask because my first pass at this has no bounds.
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The units on the 81500 would have to be (rpm^2)/watt.
For example, to spin the impeller at 5000 rpm would require (5000^2)/81500 = 307 watts.
Hint: this problem has a closed-form solution, although you could just set up the equations and iterate rather than solve algebraically.