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  4. 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=10 m / s 2)

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Q. 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? $\left(g=10\, m / s ^{2}\right)$

NEETNEET 2021Work, Energy and Power

Solution:

$
h=60 m
$
$
\begin{array}{l}
\frac{ m }{ t }=15 kg / s \\
g =10 m / s ^{2}
\end{array}
$
Loss due to friction force is $10 \%$, only $90 \%$ input is used to generate power,
$
P = gh \frac{ m }{ t } \times \frac{90}{100}
$
$
P=10 \times 60 \times 15 \times 0.9
$
$
P=8.1 kW
$