The water behind Hoover Dam in Nevada is 221 m higher than the Colorado River below it. At what rate must water pass through the

Question

3 years ago

6

hydraulic turbines of this dam to produce 50 MW of power if the turbines are 100 percent efficient?

1 answer:

dexar [7] · Answer 1 · 2022-09-19T13:45:05+03:00

Answer:

23.06262m^3/s

Explanation:

The volume flow rate of the water is determined from the needed power output and the elevation difference:

Where, height (h) =221m, power(w)=50MW=50*10^6w

Density of water (ρ)=1000kg/m^3

Efficiency of turbine(η)=100%=1

V=W/ρηgh

=50*10^6m^3/(1)*(1000)*(9.81)*(221)s=23.06262m^3/s