The turbine pits at the Niagara falls are 50m deep. The average horse power developed is 5000, the efficiency being 85%. How much water passes through the turbine per minute?given 1 HP = 746W and g= 10m/s2

Here,
h = 50 m
Po = 5000 HP
g = 10 ms-2
η = 0.85
Let the input power to run the turbine = P
Output power / Input power = 0.85
Po/Pi = 0.85
Po = 5000 HP = 5000×746 W
So
Pi = 5000×746/0.85 W
Now let m be the mass of water must be passed per second to deliver the power Pi
5000×746/0.85 = mgh
=> m = 5000×746/(0.85×10×50)
=> m = 8776.47 kg / s
In 1 min mass flow will be
8776.5 × 60 = 526588 kg

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