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  • Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine ?(<img alt=

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

Option: 1

10.2 kW


Option: 2

8.1 kW


Option: 3

12.3 kW


Option: 4

7.0 kW


Answers (1)

best_answer

\frac{dm}{dt}=15\frac{kg}{s}                                    loss \rightarrow10% \thereforeefficiency =90

\frac{P_{out}}{P_{input}}=\eta =\frac{90}{100}

P_{output}=\eta P_{input}

              =0.9\times \left ( \frac{dmgh}{dt} \right )

              =0.9\times 15\times 10\times 60

               P_{output}=8.1kW

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Gaurav

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