At a dam, the water surface has a height of 120 m above a turbine. The turbine uses 85% of the water's potential energy. If 1800 kg of water flows through the turbine per minute, how much power will come from the turbine?

Et = 30018 [W]

Explanation:

To solve this problem we must use the definition of potential energy, which is expressed by the following equation:

where:

Ep = potencial energy [W]

g = gravity acceleration [m/s^2]

h = elevation = 120 [m]

m = mass flow = [1800/min]

But in order to get watts into potential energy, we must convert the mass flow from kilograms per minute to kilograms per second.

Ep = 30*9.81*120

Ep = 35316 [W]

If we use  85% of the potential  energy will have:

Et = 35316*0.85

Et = 30018 [W]

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