A multi-jet Pelton turbine with a wheel 1.47 m diameter operates under an effective head of 200 m at nozzle inlet and uses 4 m3 /s of water. Tests have proved that the wheel efficiency is 88% and the velocity coefficient of each nozzle is 0.99. Assuming that the turbine operates at a blade speed to jet speed ratio of 0.47, determine
a. the wheel rotational speed;
b. the power output and the power specific speed;
c. the bucket friction coefficient given that the relative flow is deflected 165°;
d. the required number of nozzles if the ratio of the jet diametermean diameter of the wheel is limited to a maximum value of 0.113.