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NEET Class neet Answered

A water pump of 1 horse power is required to flow water through a cylindrical pipe line at 1 m/s. If flow rate of water is to be doubled then the power of new water pump required is
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Asked by natwarnatwar7 | 29 Apr, 2023, 07:44: PM
answered-by-expert Expert Answer
Energy of flowing liquid per unit volume is given as
 
begin mathsize 14px style E space equals space P space plus space 1 half rho u squared plus space rho g h end style
First term is pressure , second term is kinetic energy and third term is potential energy.
 
If pressure and potential energy remains constant , then Energy is proportional to speed  u of flow of water.
 
If speed is doubled , then energy will become four times. 
 
Hence required power of motor becomes four times of initial power.
 
Hence power of new water pump = 4 HP
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