A pump is used to pump a liquid of density rho continuously through a pipe of cross section area A. If liquid is flowing with speed V then power of pump is what?

A pump is used to pump a liquid of density rho continuously through a

1.	A pump is used to pump a liquid of density rho continuously through a pipe of cross section area A. If liquid is flowing with speed V then power of pump is what?
Answer» power is WORK done per unit time.Here work done on the liquid is stored in it as its kinetic energy. where is the mass of liquid and is its VELOCITY.Then (1) BECOMES,But Here is volume of liquid and is DENSITY. Then (2) becomes,Well, we know the volume rate of liquid is equal to product of area of cross SECTION of the pipe and velocity of liquid.Hence (3) becomes,This is the power of the pump.

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A pump is used to pump a liquid of density rho continuously through a pipe of cross section area A. If liquid is flowing with speed V then power of pump is what?

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