Answer to Question #112530 in Mechanical Engineering for Jayapal Reddy

Question #112530
A pump is delivering 50m3/hr of water with a discharge pressure of 3.5kg/cm2.The water is drawn from a sump where water level is 5 meter below the pump centre line.The power drawn by the motor is 9.5kw at 90% motor efficiency.Find out the efficiency of the pump.
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Expert's answer
2020-04-29T13:31:10-0400

Discharge pressure = P2=3.5g×104N/m2P_2=3.5g \times 10^4 N /m^2


Suction pressure = P1=ρ×g×h=1000×9.8×5=4.9×104N/m2P_1= \rho\times g\times h= 1000\times9.8\times 5=4.9 \times10^4 N/m^2

Pump delievering at the rate of 50m3/hr50 m^3 /hr , Power driven=9.5 kW, ηm=90\eta_m=90 %,


As we know that,


ηp=(P2P1)QP×ηm\eta_p= \frac{(P_2-P_1)Q}{P\times \eta_m}


ηp=(34.34.9)50×1049.5×.9×3600\eta_p= \frac{(34.3-4.9)50\times 10^4}{9.5\times.9\times3600}

ηp=47\eta_p= 47 %



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