Question

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.

Answer 1

The power generated is = 5.33×10⁸ Watt.

Step-by-step 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.