Water flows over a section of Niagara Falls at rate of 1.1*10^6 kg/s and falls 49.4 m. How much power is generated by the falling water? The acceleration of gravity is 9.81 m/s^2.

Question

Physics

Omari

15 May, 12:08

Water flows over a section of Niagara Falls at rate of 1.1*10^6 kg/s and falls 49.4 m. How much power is generated by the falling water? The acceleration of gravity is 9.81 m/s^2.

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Answers (1)

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Moochie · Answer 1

The power generated is = 5.33*10⁸ Watt.

Explanation:

Power: Power can be defined as the time rate of doing work. The S. I unit of power is Watt (W).

Mathematically,

Power (P) = Work done/time or Energy/time

P = mgh/t ... Equation 1

P = δgh ... Equation 2

Where δ = fall rate, g = acceleration due to gravity, h = height.

Given: δ = 1.1*10⁶ kg/s, h = 49.4 m g = 9.81 m/s²

Substituting these values into equation 2

P = 1.1*10⁶*49.4*9.81

P = 533.08*10⁶

P = 5.33*10⁸ Watt.

Thus the power generated is = 5.33*10⁸ Watt.