Water to a residential area is transported at the rate of 1.5 m/s using a concrete pipe with internal diameter of 70 cm and a surface roughness of 3 mm, all in a horizontal plane. The total length of the pipe is 1500 m. Because of the layout of the area, the pipe has four 90 degree bends with a KL of 0.4 each. There are three valves in the circuit for flow control. The valves are in the open position with a KL of 0.15 each. The entrance and exit pressures to the pipe are at atmospheric pressure. The inlet and exit geometry is very smooth and their effects can be ignored. The density of the water pH20 is 1000 kg/m and its kinematic viscosity v = 1x10-6 m/s. FIND: The Pump Power [kW] required to transport the water if the Pump is 58 % efficient A) List all Assumptions used in your analysis. (5 points) B) Determine the velocity of the water in the piping system [m/s]. (5 points) C) Calculate the Total Head Loss in the piping system [m]. (19 points) D) Calculate the Pump Power [kW] required to transport the water if the Pump is 58 % efficient (5 points)