Question

1. if a waterfall is 100 ft high, estimate the speed of the water when it...

1. if a waterfall is 100 ft high, estimate the speed of the water when it hits the rocks below.

2. Large rivers have flow rates that are at least 20,000 cubic feet per second.

If a 100 ft high waterfall exists on such a river, and a hydroelectric power plant uses the falling water to generate energy,

what is the maximum possible amount of energy that can be generated per second?

3. The average household consumes about 100 GJ (gigajoules) of energy in one year. What

is the maximum number of households that could be powered by a 100 ft waterfall?

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Answer #1

1.

hight = 100 ft

velocity = ( 2*g*h)0.5 =(2*32.2*100)0.5 =80.2496 ft/sec

2.

Q= 20000 ft3/sec

power = ρ * g * h * Q = 62.4*32.2*20000*100 =4018560000 ft.lb/sec =5448435774.45 j/s

3.

energy consumed by house =100 gj in one year =100*109 /3600*24*365 =3170.979 j/s

number of houses = 5448435774.45/3170.979 =1718218 huses anser

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