Question

Calculate the power of a pump which can lift 480kg of water through a vertical height of 10m in 20 second . Take acceleration due to gravity = 10m/s

Answer 1

Given :

• Mass of water, m = 480 kg
• Height it is lifted to, h = 10 m
• Time taken for lifting, t = 20 s
• Acceleration due to gravity, g = 10 m/s

To find :

• Power of the pump, P = ?

Formula required :

• P = W / t = ( m g h ) / t

[ Where,

P = power ; W = work done ; t = time ; m = mass ; g = acceleration due to gravity ; h = height ]

Solution :

Using formula

→ P = W / t

→ P = ( m g h ) / t

putting values in RHS

→ P = ( 480 × 10 × 10 ) / 20

→ P = ( 480 × 100 ) / 20

→ P = 480 × 5

→ P = 2400 Watt

Therefore,

• Power of the pumb is equal to 2400 Watt .

Answer 2

Answer:

✡ Given ✡

➡ Mass (m) of the water = 480 kg.

➡ Height (h) = 10m

➡ Time (t) = 20 sec

✡ To Find ✡

➡ What will be the power (p) of the pump.

✡ Formula Used ✡

⭐ P = $\dfrac{W}{t}$ = $\dfrac{(mgh)}{t}$ ⭐

✡ Solution ✡

▶ According to the question by using the formula we get,

=> P = $\dfrac{(480×10×10)}{20}$

=> P = $\dfrac{(480×100)}{20}$

=> P = 480 × 5

=> P = $\text{\large\underline{\pink{2400 watt}}}$

⬛ Hence, the power of pump is 2400 watt.