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Hoover Dam generates electricity with water taken from a depth of 130 m and with

ID: 585922 • Letter: H

Question

Hoover Dam generates electricity with water taken from a depth of 130 m and with an average flow rate of 620 m3/s. (a) Calculate the power in this flow. Note that the velocity and height of the water are not changed appreciably by the generators, but its pressure is reduced to atmospheric. Hoover Dam generates electricity with water taken from a depth of 130 m and with an average flow rate of 620 m3/s. (a) Calculate the power in this flow. Note that the velocity and height of the water are not changed appreciably by the generators, but its pressure is reduced to atmospheric. Hoover Dam generates electricity with water taken from a depth of 130 m and with an average flow rate of 620 m3/s. (a) Calculate the power in this flow. Note that the velocity and height of the water are not changed appreciably by the generators, but its pressure is reduced to atmospheric.

Explanation / Answer

power = rate of work done = dW/dt

= d(mgX)/dt = g*(m*(dX)/dt + g*X*dm/dt = g*X*dm/dt ( velocity and height of the water are not changed appreciably)

=> 9.8*130*1000*620 = 789880000 watt = 789.88 MW ( dm/dt = density of water*average flow rate)