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Question:

Power of a water pump?

Water is pumped upwards 4.000 m into a pool. The flow rate of the water is 4.000 L/min and it takes 10.00 minutes to fill the pool. What is the power of the pump?I would appreciate any help that you can give me - this is a question on an upcoming test!

Answer:

g = 10m/s^2 1 : Mass of water per Minute = 4 * 1000g = 4Kg Mass of water per second = 4Kg/60 Height = 4m Work per second = m(per second) g h = Power Power = 4/60*10*4 = 160/60 W = 2.6666W 2: Total Mass of water = 4 * 1000g * 10 =40Kg Height = 4m Work Done = mgh = 40*4*10 = 1600j Power = Work/Time = 1600/(10*60) = 2.6666W This is a Very Small Pump :P Hope this Helps Kaushalya Damitha
You have the following information: Mass of water delivred = 4*10 = 40 litres = 40kg Height = 4 metres time = 10minutes = 600 seconds Work done = m*g*h Work done = 40*9.8*4 work done = 1568J Poweer = work done / time Power = 1568/600 Power = 2.61 Watts. It seams a very small pump to pump only 4 litres/minute.

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