Question

Water is pumped from a stream at the rate of 90kg every 30s and sprayed

unto a farm at a velocity of 15m/s. Calculate the power of the pump

Answer 1

The power of the pump is 337.5 W.

Step-by-step explanation:

Power is the rate of transfer of energy or the rate at which work is done. It is measured in watts (W).

Power =
`(Energy)/(Time)`

But the energy here is the kinetic energy (K.E), which is the energy possessed by a moving body or object.

K.E =
`(1)/(2)` m
`v^(2)`

where m is the mass = 90 kg and v is the velocity = 15 m/s.

K.E =
`(1)/(2)` × 90 ×
`15^(2)`

= 10125 Joules

K.E = 10125 J = 10.125 KJ

So that the power of the pump when t = 30 s is;

Power =
`(10125)/(30)`

= 337.5 W

The power of the pump is 337.5 W.