A motor of power p0 is used to deliver water at a certain rate through a given horizontal pipe . To increase the rate of flow of water through the same pipe n times the power of the motor is increased to p1 . The ratio of p1 to p0
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Let the flow rate, density and velocity of flowing water be respectively. q,d,v
Force exerted by flowing water =dqv
Power generated by flowing water=F.v= dqv^2
But we know that . q=A.v Where A is area of pipe
Power = pq^3/A^2
Power is directly proportional to A^2
Therefore p0:p1 = n^3 : 1
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A motor of power p0 is used to deliver water at a certain rate through a given horizontal pipe . To increase the rate of flow of water through the same pipe n times the power of the motor is increased to p1 . The ratio of p1 to p0
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