Consider a river flowing toward a lake at an average speed of 3m/s at a rate of 500 m^3/s at a location 58m above the lake surface. determine the total mechanical energy of the river water per unit mass (in kj/kg) and the power generation potential of the entire river at that location (in mw). the density of water is 1000 kg/m^3, and the acceleration due to gravity is 9.81 m/s^2.

Total power generation will be 291.465 MW

Explanation:

We have given that river is flowing at rate of  V =

Average speed v = 3 m/sec

Height h = 58 m

We know that total mechanical energy is given by

E = KE +PE

Energy per unit mass

Total power generation from the river is given by

So

acceleration = (change in speed) / (time for the change)

change in speed = (20-120)= -100 m/s.

1.5 min = 90 sec

acceleration = -100/90 = -1.11 m/s^2.

we don't care about the 150kg or the 2,500 meters. they don't make any difference.

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c

explanation: