You are designing a pump to install under a water slide in a swimming pool. In o

Question

You are designing a pump to install under a water slide in a swimming pool. In order to keep the slide cool in the sun, you want a continuous water flow rate, Q = 1.40 x 10-3 m3/s (about 22 gal/min), down the slide. The pump is 80% efficient. It will be placed 1.00 m below the surface of the water and must pump water through a 4.00 cm diameter hose to the top of the slide which is 4.00 m above the water surface (so the hose is 5.00 m long). The hose discharges water as a free jet. Ignore any minor losses and calculate the shaft power in watts required for the pump.

You are designing a pump to install under a water slide in a swimming pool. In order to keep the slide cool in the sun, you want a continuous water flow rate, Q = 1.40 Times 10-3 m3/s (about 22 gal/min), down the slide. The pump is 80% efficient. It will be placed 1.00 m below the surface of the water and must pump water through a 4.00 cm diameter hose to the top of the slide which is 4.00 m above the water surface (so the hose is 5.00 m long). The hose discharges water as a free jet. Ignore any minor losses and calculate the shaft power in watts required for the pump.

Explanation / Answer

pump power =q*rpw*h*g.

g=acceleration due to gravity

h=height to pump water

q=volume flow rate

row=density of fluid

therefore power=0.0014*1000*5.*9.81=68.67 Watts

given the pump efficiency is 80%.

There fore shaft power=pump power/0.8= 68.87/0.8= 85.8375 watts

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