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Water falls from a height of 60 m at the rate 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? Take g = 10 m / s².
To calculate the power generated by the turbine, we follow these steps: Step 1: Calculate the total power available due to falling water The power available is given by: Power = m × g × h Where: - m = mass flow rate of water = 15 kg/s - g = acceleration due to gravity = 10 m/s² - h = height = 60 m SRead more
To calculate the power generated by the turbine, we follow these steps:
Step 1: Calculate the total power available due to falling water
The power available is given by:
Power = m × g × h
Where:
– m = mass flow rate of water = 15 kg/s
– g = acceleration due to gravity = 10 m/s²
– h = height = 60 m
Substitute the values:
Power = 15 × 10 × 60
Power = 9000 W
Power = 9 kW
Step 2: Loss due to frictional forces
Since 10% of the energy is lost due to frictional forces, the effective power output would be
Effective Power = Total Power (1 − Loss Percentage)
Effective Power = 9 kW (1 − 0.1)
Effective Power = 9 kW × 0.9
Effective Power = 8.1 kW
The amount of power generated by the turbine is 8.1 kW.
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