(8%) Problem 3: The pump in a water tower lifts water with a density of e -1 .00
ID: 1429940 • Letter: #
Question
(8%) Problem 3: The pump in a water tower lifts water with a density of e -1 .00 kg/liter from a filtered pond at the bottom of the tower up hT 23 m to the highest point of the tower. The water begins at rest in the pond and comes to rest at the highest point of the tower. The pump is 100% efficient in lifting the water, and it lifts a volume of V,-54 liters of water up the tower every second. The water tower sits on a hill that is Te 35 m above sea level. Let gravitational potential energy be zero at ground level. 33% Part (a) Calculate the power. Pp in Watts, of the pump Correct Answer Student Answer 1218 1218.4 Pp 1218Explanation / Answer
Work done = change in potential energy
Work done = m*g*h
W = volume*density*g*h = 5.4*1*9.8*23 = 1218 J
P = W/t = 1218/1 = 1218 W
W= Pt= 1218*1.5 h ( 60 s/h) =109620 J
W = volume*density*g*h = 10^6*1*9.8*35 = 343 * 10^6 J
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