Question

The power of water pump is 8kw. The amount of water it can raise in 1minute to a height of 15metre is ​

Answer 1

Given:

The power of the water pump, P = 8 kW = 8000 W

Time taken, t = 1 minute = 60 seconds

Height, h = 15 m

To find:

The amount of water the pump can raise in 1 minute to a height of 15 m.

Solution:

Formula to be used:

$\boxed{Work\:=\:Weight\:\times\:Height\:=\:mgh} \\\\\boxed{Power\:=\:\frac{Work}{Time } }$

From the above two formula, we get

$\bold{P \:=\:\frac{mgh}{t}}$

where

P = Power

m = mass

g = acceleration due to gravity

h = height/distance

t = time taken

Now, we will substitute the values of P, g, h, & t in the above formula,

$8000\:=\:\frac{m\:\times\:10\:\times\:15}{60}$

⇒ $m \:=\:\frac{8000\:\times\:60\:}{10\:\times\:15}$

⇒ $m \:=\:\frac{480000}{150}$

⇒ $m\:=\:3200\:kg$

∵ 1 kg = 1 litre

⇒ $m \:=\bold{\:3200\:L}$

Thus, the amount of water, the pump can raise in 1 minute to a height of 15 metre is ​3200 L.

----------------------------------------------------------------------------------------------

Also View:

A pump ejects 12000 kg of water at a speed of for metre per second in 40 seconds find the average rate at which the pump is working?

https://brainly.in/question/11685522

A pump is used to lift 500kg of water from a depth of 80m in 10s. Calculate:  (i)the power rating of the pump it its efficiency is 40%. (Take g=10ms².)

https://brainly.in/question/275013

A pump is needed to lift water through a height of 2.5m at the rate of 500g/min. what must the minimum horse power of the pump be??

https://brainly.in/question/5876461

Answer 2

Explanation:

Given The power of water pump is 8 kw. The amount of water it can raise in 1 minute to a height of 15 metre is  

• Given power p = 8 k w and g = 10 m / s^2
• Now we have work done = potential energy  
•                         Or w = mgh
•                                 = m x 10 x 15
•                                  = 150 m joule
• Now we have power P = w / t
•                             8 x 10^3 = 150 m / 60 (since t = 1 min)
•                            48 x 10^3 / 15 = m
•               Or m = 48 x 1000 / 15
•                Or m = 3200 kg
• So the amount of water it can raise will be 3200 kg

Reference link will be

https://brainly.in/question/2916146