1Q. A pump on the ground floor of a building can pump up water to fill a tank of volume 40 m² in 15 minutes. If the tank is 20m above the ground, and the efficiency Py of the pump is 80%, how much electric power is consumed by the pump?
Answers
Answered by
0
Given
Volume of water =40 m ³
Time, t =15 min
Height , h =20 m
To find:
Electric power consumed by the pump
Solution:
Volume of water = 40 m³
t=15 min=15×60 s=900s; Height, h=40 m
Efficiency, η of the pump is 80%
Density of water =10 ³kg /m³
∴ Mass of water pumped = Volume × Density
⇒(40 m ³) (10)³ kg /m³) = 40000 kg
P output = W/t = mgh/t = (4000kg × 10m/s² × 20m )/ 900s
=17,777.77 W
Hence, the electrical energy consumed by the pump is 17,777.77 W
Similar questions