57.8k views
4 votes
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

User Rati
by
6.5k points

1 Answer

3 votes

Answer:

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.

User Matt Schlosser
by
7.3k points