A pump is used to pump a liquid of density p continously through a pipe of cross section area A if liquid is flowing with speed V then power of pump is
 

Asked by G S | 7th Jun, 2017, 09:57: AM

Expert Answer:

begin mathsize 12px style Given space that
Density space of space the space liquid space equals space straight rho space semicolon
Cross space section space area space of space the space pipe space equals space straight A space
Speed space of space liwuid space flowing space through space it space equals space straight v space
We space know space that space
Mass space equals space Density space cross times space Volume
rightwards arrow space straight m space equals space straight rho cross times space straight V
rightwards arrow space straight m space equals space straight rho cross times space Avt space........ space left parenthesis Equation space 1 right parenthesis
Kinetic space energy space is space
KE space equals space 1 half mv squared
Substituting space the space value space of space straight m space from space equation space 1 comma space we space get
rightwards arrow KE space equals space 1 half space cross times space space straight rho cross times space Avt space cross times space straight v squared space equals space 1 half space space ρAv cubed straight t
Power space of space the space pump space
straight P space equals space KE over straight t space equals 1 half space space ρAv cubed space end style

Answered by Yashvanti Jain | 7th Jun, 2017, 11:00: AM