In large buildings, hot water in a water tank is circulated through a loop so that the user doesn’t have to wait for all the water in long piping to drain before hot water starts coming out. a certain recirculating loop involves 40-m-long, 1.2-cm-diameter cast iron pipes with six 90° threaded smooth bends and two fully open gate valves. if the average flow velocity through the loop is 2 m/s, determine the required power input for the recirculating pump. take the average water temperature to be 60°c and the efficiency of the pump to be 76 percent. the density and dynamic viscosity of water at 60°c are rho = 983.3 kg/m3, μ = 0.467 × 10–3 kg/m·s. the roughness of cast iron pipes is 0.00026 m. the loss coefficient is kl = 0.9 for a threaded 90° smooth bend and kl = 0.2 for a fully open gate valve. (round the final answer to three decimal paces.)