A water pump with a power of 10KW and a mechanical efficiency of 80% can pump how many cubic meters

Introduction A water pump with a power of 10KW and a mechanical efficiency of 80% can pump how many cubic meters of water to a height of 10 meters in 1 minute? The power is 10 kilowatts: 100 can be produced per second

A water pump with a power of 10KW and a mechanical efficiency of 80% can pump how many cubic meters

The power is 10 kilowatts: 10,000 J of work can be done per second, i.e.: P=10,000 J/s

The work that can be done in 1 minute is: W=P ×t= 10000J/s×60s =600000J

The mechanical efficiency is 80%: only 80% of the work done by this pump is used, i.e.: η=80%

Then the effective work done by the pump in 1 minute is W'=W×η=600000×80%=480000J

1 cubic meter of water: the density of water is 1,000 kg/cubic meter, i.e. one cubic meter is equivalent to 1,000 kg of water

The work required to pump each cubic meter of water to a height of 10 meters is:

< p>W''= mass of water × acceleration of gravity × height = 1000kg × 10N/kg × 10m = 100000N?6?1m =100000J

The volume of water that can be pumped is then of 480000/100000=4.8 cubic meters

70 meters. A water pump with a height of 80 meters can deliver a pump of about 70 meters, because there are also effects of fluid resistance and de slope. The lifting height of the water pump can reach 30 meters and about 300 meters on flat ground. The distance that the flat ground can reach depends on the hydraulic loss of the outlet pipe: the greater the hydraulic loss of the outlet pipe, the shorter the distance.

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