The pump lifted 7.2 m3 of water for 8 minutes to a height of 10 m. Find the pump power.

t = 8 min = 480 s ..

V = 7.2 m3.

g = 10 m / s2.

ρ = 1000 kg / m3.

h = 10 m.

N -?

The power of the pump N is the ratio of the mechanical work that it performs to the time it is performed. Power N is a value that indicates how quickly mechanical work is done.

N = A / t, where t is the pump operation time.

We express the work of the pump to raise the water A by the formula: A = m * g * h, where m is the mass of the raised water, g is the acceleration of gravity, h is the height of the rise of water.

We express the mass of water m by the formula: m = ρ * V.

A = ρ * V * g * h.

N = ρ * V * g * h / t.

N = 1000 kg / m3 * 7.2 m3 * 10 m / s2 * 10 m / 480 s = 1500 W.

Answer: the water pump has a power of N = 1500 W.