Water falling = how much power?

AI Thread Summary
To calculate the power generated by falling water, use the formula for gravitational potential energy: Power equals mass flow rate multiplied by gravitational acceleration and height (P = m*g*h/sec). In this case, the water flow rate is 3.2 x 10^4 kg/s, falling from a height of 33 m. The gravitational energy converts to kinetic energy as the water falls, resulting in power output. The discussion emphasizes the relationship between energy conversion and power generation in waterfalls.
Bigdane
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Water flows over a section of a waterfall at the rate of 3.2 104 kg/s and falls 33 m. How much power is generated by the falling water?
watts

i tried to use the power equation but I am just not sure how the numbers relate.
help please?
 
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You need to calculate the rate of potential energy delivery which is m*g*h/sec.
 
use energy:

E_{gravitational} before = E_{kinetic} after

The gravitational energy of the water is turned into kinetic energy

the amount of power generated is the energy per second.
 
thanks guys
 
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