A pump raises the pressure of water from 100 kPa to 900 kPa and raises the velocity from 1 m/s to 20 m/s. The flow rate of water through the pump is 0.1 m3/s. The local atmospheric pressure is 100 kPa.
1. How much power goes toward raising the pressure of the water?
2. How much power goes to raising kinetic energy of the water?
3. If the pump has an efficiency of 80%, what is the input power required?
4. If the discharge piping of the pump runs vertically upward, what is the maximum elevation above the pump could deliver water if the velocity is to be maintained?