Afarmer is to pump water at 70°f from a river to a water storage tank nearby using a 125-ft-long, 5-in-diameter plastic pipe with three flanged 90° smooth bends. the water velocity near the river surface is 6 ft/s, and the pipe inlet is placed in the river normal to the flow direction of water to take advantage of the dynamic pressure. the elevation difference between the river and the free surface of the tank is 12 ft. for a flow rate of 1.5 ft3/s and an overall pump efficiency of 75 percent, determine the required electric power input to the pump. the density and dynamic viscosity of water at 70°f are ρ = 62.30 lbm/ft3 and μ = 2.360 lbm/ft·h = 6.556 × 10–4 lbm/ft·s. the roughness of a galvanized iron pipe is ε = 0.0005 ft.