Pump power

Determine the pump power if:
I pour 3 m3 of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s.

Correct answer:

P =  5367.875 W

Step-by-step explanation:

V=3 m3 ρ=1000 kg/m3 g=9.81 m/s2 t=120 s h=1.5 m v=20 m/s  m=ρ V=1000 3=3000 kg W1=m g h=3000 9.81 1.5=44145 J  P1=W1/t=44145/120=82943=367.875 W  W2=21 m v2=21 3000 202=600000 J  P2=W2/t=600000/120=5000 W  P=P1+P2=82943+5000=82943+85000 8=82943+840000=82943+40000=842943=842943 W=5367.875 W



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