Find the power of the water flow through the dam, if water falls from a height of 30 m

Find the power of the water flow through the dam, if water falls from a height of 30 m, its flow rate is 150 m3 per minute.

The power N of the flow of water falling through the dam from the height H is calculated by the formula:

N = ρgQH,

where ρ is the density of the liquid; it is given that ρ = 1000 kg / m3; g – acceleration of gravity, g = 9.81 m / s2; Q is the volumetric flow rate of the liquid flow, m3 / s; H – head equal to the drop height, H = 30 m.

The volumetric flow rate of the liquid flow is converted into m3 / s:

Q = 150 m3 / min = (150/60) m3 / s = 2.5 m3 / s.

Thus, the power of the water flow:

N = 1000 × 9.81 × 2.5 × 30 = 735750 W = 735.75 kW.

Answer: 735.75 kW.