Question

A prime mover applies a torque of 500 in-lbs to a hydraulic pump running at 2000 rpm (pump efficiency is 85%, meaning that only 85% of the input mechanical power is converted into hydraulic power). The pump is pushing the fluid (S.G = 0.8, Kinematic Viscosity = 1 St) through a steel pipe (ID = 2 in.) into the atmosphere and the pump outlet pressure is 500 psi. Find the length of the pipe in feet.

          A prime mover applies a torque of 500 in-lbs to a hydraulic pump running at 2000 rpm (pump efficiency is 85%, meaning that only 85% of the input mechanical power is converted into hydraulic power). The pump is pushing the fluid (S.G = 0.8, Kinematic Viscosity = 1 St) through a steel pipe (ID = 2 in.) into the atmosphere and the pump outlet pressure is 500 psi. Find the length of the pipe in feet.
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A prime mover applies a torque of 500 in-lbs to a hydraulic pump running at 2000 rpm (pump efficiency is 85%, meaning that only 85% of the input mechanical power is converted into hydraulic power). The pump is pushing the fluid (S.G = 0.8, Kinematic Viscosity = 1 St) through a steel pipe (ID = 2 in.) into the atmosphere and the pump outlet pressure is 500 psi. Find the length of the pipe in feet.
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Transcript

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00:01 Diameter of pipe d is equal to 8 inch and the flow rate q is equal to 3 .5 cfs and the area a is equal to pi d square divided by 4 and this is equal to pi and d is 8 inch whole square divided by 4 and we get this is equal to 50 .27 inch square and flow rate is given by q is equal to a v, v is the velocity so velocity can be written as v is equal to that is q divided by a and we have q is 3 .5 divided by area is that is 50 .27 inch square and on solving we get the velocity is equal to 0 .0697 feet per second and the density of water rho w is equal to 0 .82 times 62 .4 lb feet q and this is equal to 51 .168 lb per feet q and the mass flow rate is given by m dot and this is equal to rho w a v divided by 144 and this is equal to 51 .168 lb per feet q…
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