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how to calculate horse power of water pump

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I would like to find a derivation of work done by a water pump that lift 1 cusec water from the depth of 100 ft.
please helpout
Thanks...
 

Do you really need horsepower? What a messy measurement that is these days... https://en.wikipedia.org/wiki/Horsepower

Anyway,

Power = force x distance / time

1 cubic foot of water at STP weighs 62.42796 pounds. That's the force. So,

Power = 62.42796 x 100 / 1

Power = 6243 ft.lbf/s (rounded, no more silly decimal places)

Since 1 mechanical horsepower is defined as 550 ft.lbf/s,

Power = 6243 / 550 = 11.35 mechanical horsepower.

Do I get a prize?

Please, consider using watts instead ;-)
 

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