Avolumetric flow rate 1250 cm^3 s^-1 of water is to be pumped through a steel pipe of an inner diameter 25 mm and a total length 30m, to a tank 12 m higher than its reservoir. the entrance and exit losses may be neglected. the viscosity and density of the water are 1.30 x 103 ns m^2 and 1000 kg m, respectively. the roughness of the steel pipe is 0.045 mm. calculate the power required by the pumping system. if a pump efficiency of 60% is assumed, calculate the power of the pump motor