In the mine at a depth of 100 m, 45 m of water is collected every minute. Determine the pump power to pump this water.

Given:

h – 100 m.

V – 45 m.

t – 1 m. – 60 s.

To find:

N -?.

Decision:

You can determine the pump power for pumping water using the formula:

N = A / t = mgh / t = pV * gh / t.

The formula was transformed. We know the values of depth, volume, time.

We find the value of the density of water in the table of density of liquids: p = 1000 kg / m3.

g is the acceleration due to gravity. g = 9.8 H / kg.

Substitute the values and find:

N = 1000 * 45 * 9.8 * 100/60 = 735 kW.

Answer: 735 kW.