# Mountain river with a flow speed of 5 m / s and a channel cross-sectional area of 42 m2. During the construction of the hydroelectric

November 11, 2020 | Education

| **Mountain river with a flow speed of 5 m / s and a channel cross-sectional area of 42 m2. During the construction of the hydroelectric power station, the river was blocked by a dam with a height of 50 m. What capacity can a hydroelectric power plant on this river have?**

Power is determined by the formula: N = A: t, where A – work, t – work time (1 s).

Work is determined by the formula: A = m × g × h, where g = 9.8 m / s is the acceleration of gravity, h is the height.

m = V × F = 5 m / s × 42 m2 = 210,000 kg

N = 210,000 kg × 9.8 m / s × 50 m: 1 s = 1029 × 10 ^ 5 W = 1029 × 10 ^ 3 kW = 1029 mW

Answer: the power of the power plant can be 1029 MW.

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