Power
A pump motor is used to deliver water at a certain rate from a given pipe. To obtain, twice as much water from the same pipe, in the same time, the power of motor has to be increased to:
If the motor pumps water (density = ) continuously through a pipe of area of cross section A with velocity v, then mass flowing out per second, m = Av Rate of increase of kinetic energy = power of pump:
P =
To get double amount of water, velocity should be doubled. Hence power becomes 8 times.
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