Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine? (Take g=10 m/s²).

A
$8.1 kW$
B
$10.2 kW$
C
$12.3 kW$
D
$7.9 kW$

Solution:

Power is generated by the turbine is

8.1 kW

.
The height,

h = 60 m

, mass flow rate,

m = 15 kg / s

, losses are

10 %

.
The potential energy per second is power,

p = mgh

Power,

P = \frac{m \times g \times h}{t}

where   P = power generated by the turbine
             p = potential energy
m = mass of the water falling
h = height of the water
t = time in seconds
⇨

P = 15 \frac{kg}{s} \times 10 \times 60

⇨

P = 9000 W

The friction losses,
⇨

L = 9000 \times \frac{10}{100} = 900 W

The power generated by the turbine is equal to,

P = 9000 - 900

⇨

P = 8100 W

⇨

P = 8.1 kW

The power generated by the turbine is

8.1 kW

Water falls from a height of $60 m$ at the rate of $15 kg / s$ to operate a turbine. The losses due to frictional forces are $10 %$ of energy.

How much power is generated by the turbine? (Take $g = 10 m / s²$ ).

Solution:

Related content

Company

Support

Courses

More

JEE

NEET

CUET

CBSE

Popular books

NCERT solutions

NCERT exemplar

State Board

Subject

follow us