A jet of water impinges on a series of curved vanes at an angle of 30° to the direction of motion of the vanes while entering and leaves the vanes horizontally. The head under which the jet issues from the nozzle is 30 m, the coefficient of velocity for the nozzle is 0·9, and the diameter of the jet after leaving the nozzle is 50mm. The speed of the vanes is 10 m/s and the
the relative velocity of the water at outlet is 0·8 times

the relative velocity at inlet. Calculate :
(i) The angle of vane tips at the inlet;
(ii) The power developed by the jet, and
(iii) The efficiency of the system