Question #333204

There are 400kf/min of water being handled by a pump. The lift us firm 20-m deep well and the delivery velocity ks 15m/s. Find (a) the change in potential energy, (b) kinetic energy, (c) the required power of the pumping unit; g= 9.81m/s²

1
Expert's answer
2022-04-24T17:18:29-0400

a)

S=Qv=0.44103 m2,S=\frac Qv=0 .44\cdot 10^{-3}~m^2,

V=Sh=8.9103 m3,V=Sh=8.9\cdot 10^{-3}~m^3,

m=ρV=8.9 kg,m=\rho V=8.9~kg,

U=mgh=1780 J,U=mgh=1780~J,

b)

E=mv22=1000 J,E=\frac{mv^2}2=1000~J,

c)

P=mgv=133 W.P=mgv=133~W.


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