Water falls from a height of $60 ext{ m}$ at the rate of $15 ext{ kg/s}$ to operate a turbine. The losses du

Question

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

Accepted Answer

Incident power on turbine = $\frac{d(mgh)}{dt} = gh \frac{dm}{dt} = 10 	imes 60 	imes 15 = 9000	ext{ W}$. Now, losses are $10\%$. Therefore, power generated = $\left(1 - \frac{10}{100}ight) 	imes 9000 = 8100	ext{ W} = 8.1	ext{ kW}$.

Step-by-Step Solution

Practice All PHYSICS Questions