Water falls from a height of 60, m at the rat | vedclass

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(C) The rate of mass flow of water is $\frac{dm}{dt} = 15\, kg/s$.The height is $h = 60\, m$ and acceleration due to gravity is $g = 10\, m/s^2$.The t

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$8.1$

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(C) The rate of mass flow of water is $\frac{dm}{dt} = 15\, kg/s$.The height is $h = 60\, m$ and acceleration due to gravity is $g = 10\, m/s^2$.The total potential energy available per second (input power) is $P_{in} = \frac{dm}{dt} \cdot g \cdot h = 15 	imes 10 	imes 60 = 9000\, W$.The losses due to friction are $10\%$,so the efficiency of the turbine is $90\%$.The power generated by the turbine is $P_{out} = P_{in} 	imes 0.90 = 9000 	imes 0.90 = 8100\, W$.Converting to kilowatts,$P_{out} = 8.1\, kW$.

Water falls from a height of $60\, m$ at the rate of $15\, kg/s$ to operate a turbine. The losses due to frictional forces are $10\%$ of energy. How much power is generated by the turbine ............. $kW$ ? $(g = 10\, m/s^2)$

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