Apelton wheel operates under a head of 274m. the jet diameter is 100mm the coefficient of velocity for the nozzle is 0.97, and the ratio of bucket speed to jet-speed is 0.47. the angle of deflection of the water in passing over the bucket is 160degrees and the relative velocity reduces by 10% in the process. calculate the diameter of the runner, the hydraulic efficiency, the power development at the bucket and the shaft power if the speed is 600 rpm and the mechanical efficiency is 0.9.