Calculate the power (MW) that could be obtained by converting the kinetic energy of the river water

Question:

Calculate the power (MW) that could be obtained by converting the kinetic energy of the river water in Exercise 1.3 to electricity at 100% efficiency.


Data From Exercise 1.3

Let V be the water velocity in a river of width w and depth d, flowing along at a height h above a hydraulic power station. Show that the maximum electrical power that could be obtained by converting the potential energy of the river water to electrical energy is ρ · ν · w · d · h · g, where ρ is the water mass density. Calculate the maximum available power (MW) for ω = 20 m, d = 10 m, h = 100 m, ν = 2 m/s, using ρ = 1000 kg/m3.

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