The turbine at the Niagara falls is 50 m deep. The average horse power developed is 500. If the efficiency of the generator is $85 %$ , how much water passes through the turbine per minute?

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Solution

The average power developed is = 500 hp = 373000 W
Let P be the actual power of which $85 %$ is utilized by the turbine.
So, $\frac{85 P}{100} = 373000$
$\Rightarrow P = 4388235. W$
So, the energy utilized by the turbines per second is 438823.53 J
The energy utilized per minute is = $438823.53 \times 60 = 2362941.18 J$
Let 'm' be the mass of water that falls through height 50 per minute to generate energy 2632941.18 J
Therefore, mgh = 2632941.18
$\Rightarrow m (10) (50) = 2362941.18$
$\Rightarrow m = 52658.82 k g$
Thus, 52658.82 kg water passes through the turbine per minute.

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The turbine at the Niagara falls is 50 m deep. The average horse power developed is 500. If the efficiency of the generator is 85%, how much water passes through the turbine per minute?

The turbine at the Niagara falls is 50 m deep. The average horse power developed is 500. If the efficiency of the generator is $85 %$ , how much water passes through the turbine per minute?