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A mini-hydro system provides power for a remote house, making use of a mountain lake which supplies water at a?

A mini-hydro system provides power for a remote house, making use of a mountain lake which supplies water at an effective head of 30 meters. If the plant runs at an overall efficiency of 80%, calculate the water flow rate needed, in cubic meters per second, to provide an output of 2.4 kW. You may use the approximation of g=10 N kg-1 and assume that the density of the water is 1000 kg m-3

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  • Dean
    Lv 6
    9 years ago
    Favorite Answer

    2400 / 0.8 = 3000 watts

    Say column of water 1 m * 1 m * 30 m = 30 cu m = 30,000 kg = (30,000 * 10) 300,000 n / sq m

    If power = force * velocity, then 300,000 * vel = 3000, so vel = 0.01 m/s

    Flow rate = 0.01 * 1 = 0.01 cu m / s ( 10 litres / sec)

  • 4 years ago

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