In a Pelton-wheel turbine, a stream of water is deflected by a series of blades so that the rate at which water is deflected by the blades is equal to the rate at which water issues from the nozzle (Δm/Δt = AρvA). Using the same notation as in Sample Prob. 14.7,

(a) Determine the velocity V of the blades for which maximum power is developed,

(b) Derive an expression for the maximum power,

(c) Derive an expression for the mechanical efficiency.