An elevated tank with a diameter of 9.4 m and a height of 2.2 m which can hold 153 m3 of water, was built to supply water for houses in a small residential area in Kota Kinabalu, as shown in Figure Q1. Lembaga Air KK pumped the water from a river at 80 liters per second using a 20 cm internal diameter pipe until the tank filled 151.4 m3 (40,000 gallons) of water. When this volume had been achieved, the pump automatically stops. The pump starts pumping water to the tank when the water level lower than the setting level. The required length of piping is measured to be 420 m, and the total head loss in the pipe system is 12V2/2g, where V is the average velocity in the pipe used. When filled with 40,000 gallons of water, the water level in the tank is 58 m above the river water surface. Determine: i. The electric power consumed by the pumped if the pump efficiency is 66.7 percent. ii. The time needed to empty the tank if water flow out from the tank at a rate of 0.01 m3/s.
An elevated tank with a diameter of 9.4 m and a height of 2.2 m which can hold 153 m3 of water, was built to supply water for houses in a small residential area in Kota Kinabalu, as shown in Figure Q1. Lembaga Air KK pumped the water from a river at 80 liters per second using a 20 cm internal diameter pipe until the tank filled 151.4 m3 (40,000 gallons) of water. When this volume had been achieved, the pump automatically stops. The pump starts pumping water to the tank when the water level lower than the setting level. The required length of piping is measured to be 420 m, and the total head loss in the pipe system is 12V2/2g, where V is the average velocity in the pipe used. When filled with 40,000 gallons of water, the water level in the tank is 58 m above the river water surface. Determine:
i. The electric power consumed by the pumped if the pump efficiency is 66.7 percent.
ii. The time needed to empty the tank if water flow out from the tank at a rate of 0.01 m3/s.
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