Water flows over a section of Niagara Falls at
the rate of 1.3 × 106
kg/s and falls 49.8 m.
How much power is generated by the
falling water? The acceleration of gravity
if 9.81 m/s^2.
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To calculate the power generated by the falling water, we can use the formula:
Power = (Mass flow rate) x (Gravity) x (Height)
Given:
Mass flow rate = 1.3 × 10^6 kg/s
Gravity = 9.81 m/s^2
Height = 49.8 m
Substituting these values into the formula, we get:
Power = (1.3 × 10^6 kg/s) x (9.81 m/s^2) x (49.8 m)
Now we can calculate the power:
Power = 1.3 × 10^6 kg/s x 9.81 m/s^2 x 49.8 m
To multiply these numbers, we have:
1.3 × 10^6 x 9.81 x 49.8
First, multiply 1.3 x 9.81 = 12.753
Then, multiply 12.753 x 49.8 = 634.674
Finally, we get:
Power = 634.674 x 10^6 W
Therefore, the power generated by the falling water is 634.674 x 10^6 W.