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A generator at Hoover Dam can supply 378 MW of electrical power. Assume that the

ID: 1688171 • Letter: A

Question

A generator at Hoover Dam can supply 378 MW of electrical power. Assume that the turbine and the generator are 83.1% efficient. The acceleration of gravity is 9.8 m/s^2.

a. Find the rate with which falling water must supply energy to the turbine (in units of MW).

b. The energy of the water comes from the change in potential energy, mgh. What is the needed change in potential energy each second (in units of J/s)?

c. If the water falls 21m, what is the mass of the water that must pass through the turbine each second to supply this power (in units of kg/s)?

I know its a detailed question. I'm not sure what equations to start with. Any help with setting up would be greatly appreciated.

Explanation / Answer

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