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  • A pump on ground can pump up water to fill tank of volume 30  in 15 min if the tank is 40 m above the gro

A pump on ground can pump up water to fill tank of volume 30 m ^3 in 15 min if the tank is 40 m above the ground and efficiency of pump is 30 % . How much electric power (in KW) is consumed by the pump - 

(Please provide answer upto 2 decimal places.)

Option: 1 44.44

Option: 2 40

Option: 3 20

Option: 4 11.11

Answers (1)

best_answer

As we have learned

Power -

Rate of doing work

- wherein

Power is defined as the time rate at which work is done or energy is transferred

 

 Output power of motor = mgh /t 

= \frac{(30 \times 1000)\times 10 \times 40}{15\times 60}

Efficiency =( Output power of motor / Power consumed by motor   ) * 100 

30 = \frac{30 \times 1000\times 10 \times 40 }{15 \times 60 \times p }*100

p = 44. 44 KW

 

 

 

 

 

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