Find the power of the flow of water flowing through the dam, if the height of the water fall is 50 m

Find the power of the flow of water flowing through the dam, if the height of the water fall is 50 m, and its flow rate is 280 m3 per minute.

Task data: h (height of the flow fall) = 50 m; P (water flow) = V / t = 280 m3 / min = 4.67 m3 / s.

Reference values: g (acceleration due to gravity) ≈ 9.8 m / s2; ρw (density of water in the flow) = 1000 kg / m3.

The power of the water flow is determined by the formula: N = A / t = ΔEp / t = m * g * h / t = ρw * V * g * h / t = ρw * P * g * h.

Let’s calculate: N = 1000 * 4.67 * 9.8 * 50 = 2288300 W ≈ 2.29 MW.

Answer: The power of the water flow is 2.29 MW.