First slide

Power

Question

A motor is used to deliver water at a certain rate through a given horizontal pipe. To deliver n-times the water through the same pipe in the same time the power of the motor must be increased as follows.

Moderate

A

n times
B

n³times
C

n² times
D

n⁴ times

Solution

Power of the motor = P = A V³ $ρ$
New power = P^' =A( nv)³ $ρ$ = $n^{3} A V^{3} ρ$ = $n^{3} P$

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