How long will it take to pump 10 tons of water from the mine if the pump power is 1.5 kW?

How long will it take to pump 10 tons of water from the mine if the pump power is 1.5 kW? lifting height of water 20 m.

To find the time spent by the pump used, we will use the formula: N = A / t = m * g * h / t, from where we express: t = m * g * h / N.

Constants and variables: m – mass of pumped out water (m = 10 t = 10 * 10 ^ 3 kg); g – acceleration due to gravity (g ≈ 10 m / s2); h is the depth of water rise (h = 20 m); N – pump power (N = 1.5 kW = 1.5 * 10 ^ 3 W).

Calculation: t = m * g * h / N = 10 * 10 ^ 3 * 10 * 20 / (1.5 * 10 ^ 3) = 1333.3 (3) s ≈ 22.2 (2) min.

Answer: It will take 22.2 minutes to pump out the water.