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Question: A pump motor is used to deliver water at a certain rate from a given pipe. To obtain 'n' times water...

A pump motor is used to deliver water at a certain rate from a given pipe. To obtain 'n' times water from the same pipe in the same time the amount by which the power of the motor should be increased –

A

n1/2

B

n2

C

n3

D

n

Answer

n3

Explanation

Solution

Volume delivered per sec. = Av

mass delivered per sec = Avd

momentum delivered per sec = Av2d = force

power = force × velocity= Av3d

i.e. power µ v3