Question

A pump raises 1000 kg of water upon a height of of 30 m in 5 minutes. Calculate the power of pump.​( please answer as fast as possible)

Answer 1

Given,

Mass of water raised by the pump = 1000 kg

Height up to which water is raised = 30 m

Time taken = 5 minutes

To Find,

The power of the pump.

Solution,

First, we need to calculate the energy consumed in this process

Energy = Work done by the motor

Energy = m*g*h

where m is the mass, g is the acceleration due to gravity and h is the height

Now,

Energy = 1000*30*10

Energy = 300000 Joules

Now,

Power = Energy/time

Time = 5*60 = 300 seconds

Power = 300000/300

Power = 1000 Watts.

Hence, the power of the pump is 1000 watts.

Answer 2

Answer:

The power of the pump is 1000W.

Explanation:

Given:

M = 1000Kg

h = 30m

t = 300s

Here,

The energy of the pump is denoted by E.

The power of the pump is denoted by P.

The time is denoted by t.

The mass of the water is denoted by M.

The height is denoted by h.

The acceleration due to gravity is denoted by g.

Now,

By the equation,

E = Mgh

$E=1000\times 10 \times 30$

E = 300000J

Then,

By the equation,

$P=\frac{E}{t} \\P=\frac{300000}{300}$

P = 1000W

So, the power of the pump is 1000W.