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 -

Question

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 -, n 1 / 2, n 2, n 3, n

MARKS App · Accepted Answer

V o l u m e d e l i v e r e d p e r s e c . = A v m a s s d e l i v e r e d p e r s e c = A v d m o m e n t u m d e l i v e r e d p e r s e c = A v 2 d = f o r c e p o w e r = f o r c e × v e l o c i t y = A v 3 d i.e. p o w e r ∝ v 3

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