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Hoover dam on the colorado river is the highest dam in the united states at 221 m, with an output of 1300 mw. the dam generates electricity with water taken from a depth of 150 m and an average flow rate of 650m3/s. (a) calculate the power in this flow. (b) what is the ratio of this power to the facility's average of 680 mw?

Bethany Evans

in Mathematics

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Theresa Perry on November 6, 2018

Height (h)= 150 m, 650 m3 /s to 150 m, the average flow rate = 650 m3 /s Power = force x velocity, velocity = flow rate /area.Flow of power= force x speed /flow area.Pressure = force / areaPower flow= pressure x flow rateNow, (a) Pressure = h ρ gPressure = 150 m * 1000 kg/m3 * 9.81 m/s^2Pressure = 1471500 Nm^2=> Power flow= 1471500 Nm^2 * 650 =956475000 W = 9.56 X 10^8 Bm), the Ratio of this energy to the facilities = Power flow / average powerb)Relationship of this energy to the facilities = Power flow / average powerRatio of this power to the facility = 9.56 x 10^8 W / 680 MWRatio of this power to the facility = 0.0405 ×10^2Ratio of this power to the facility = 1.405


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