In a 100m shaft, it lifts 4.5 m3 of water every minute. How much power does the pump require?

Power is equal to the ratio of work to the time during which the work was completed:
N = A / t;
t = 1min = 60s;
A = m * g * h;
m = V * ρ;
A = V * ρ * g * h,
Where
V = 4.5m ^ 3,
ρ = 1000kg / m ^ 3 – water density,
g = 10m / s ^ 2 – acceleration of gravity,
h = 100m.
N = V * ρ * g * h / t = 4.5 * 1000 * 10 * 100/60 = 75000W = 75kW.



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