Calculate the theoretical power in kW to 1 DP developed by a fluid motor. The fo

Engineering
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Calculate the theoretical power in kW to 1 DP developed by a fluid motor. The formula is: theoretical power = VolumetricDisplacement * AngularSpeed * pressure where the volumetric displacement = 121 cubic centimeters / revolution, the AngularSpeed = 1,150 rpm, and the pressure = 148 bar.

1 bar = 100,000 N/m^2, 1 m = 100 cm, and 1 kW = 1000 N*m/s

Sep 7th, 2015

Thank you for the opportunity to help you with your question!

volumetric displacement = 121 cubic centimeters / revolution,  = 1.21 *10^-4m3/revolution

AngularSpeed = 1,150 rpm = 19.1667revolutions/second

pressure = 148bar =148*100,000N/m2 = 14,800,000n/m2

theoretical power = 1.21*10^-4m3/rev *19.1667rps* 14,800,000n/m2 =34,324.6n*m/s

but 1 kw =1000n*m/s

34,324.6Nm/s

=34,324.6/1000 = 34.3 kW

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 7th, 2015

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