Question

Water is flowing in a river at 2 ms. 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 )
(a) 0.5 MW
(b) 1 MW
(c) 1.5 MW
(d) 2 MW​

Answer 1

Explanation:

Given data,

speed of water= =v=2m/s

area of flow =5m×50m=250m

2

Density of water ρ=1000kg/m

3

Form of the continuity equation the volume of water flowing per second v=Av

Hence, mass of water m=vρ=Avρ

K.E=

2

1

mv

2

=

2

1

Avρv

2

=

2

1

Aρv

3

ρ=

2

1

Aρv

3

=

2

1

×250×(2)

3

×1000

ρ=10

6

W=1MW