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 ? (g=10 m / s 2)

Question

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 ? (g=10 m / s 2) (A) 12.3 kW (B) 7.0 kW (C) 8.1 kW (D) 10.2 kW

Tardigrade Admin · Accepted Answer

Mass of water falling / second =15 kg / s h =60 m g =10 m / s 2, loss =10 % i.e., 90 % is used. Power generated =15 × 10 × 60 × 0.9 =8100 W =8.1 kW

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

12.3 kW

7.0 kW

8.1 kW

10.2 kW

Mass of water falling / second $= 15 k g / s$
$h = 60 m$
$g = 10 m / s^{2}$ ,
loss $= 10%$
i.e., $90%$ is used.
Power generated $= 15 \times 10 \times 60 \times 0.9$
$= 8100 W = 8.1 kW$

Q. Water falls from a height of 60m at the rate of 15kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine ? (g=10m/s2)