A pump, submerged at the bottom of a well that is 35m deep, is used to pump water uphill to a house that is 50m above the top of the well, as shown above. The density of the water is 1000 kg/m3. All pressures are gauge pressures. *top of well pipe to house angle = 30 degrees*
Residents of the house use 0.35 m3 of water per day. The day's pumping is completed in 2 hours during the day.
a) Calculate the minimum work required to pump the water per day.
b) Calculate the minimum power rating of the pump.
The average pressure the pump produces is 9.2x105 N/m2. Within the well the water flows at 0.50 m/s and the pipe has a diameter of 3.0 cm. At the house the pipe diameter is 1.25 cm.
c) Calculate the flow velocity when a faucet in the house is open.
d) Calculate the pressure in the pipe near the faucet at the house.