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Question: Water is flowing in a river at \(2ms^{- 1}\). The river is 50 m wide and has an average depth of 5 m...

Water is flowing in a river at 2ms12ms^{- 1}. The river is 50 m wide and has an average depth of 5 m. The power available from the current in the river is:

(Density of water = 1000 kg m-3-3)

A

0.5 MW

B

1 MW

C

1.5 MW

D

2 MW

Answer

1 MW

Explanation

Solution

Power = kinetic energy of water flowing per second

=12= \frac{1}{2}×area of cross-section × density × (velocity)3

=12×50×5×1000×23W=106W=1MW= \frac{1}{2} \times 50 \times 5 \times 1000 \times 2^{3}W = 10^{6}W = 1MW