P3.51 A liquid jet of velocity V; and area A; strikes a single 180°bucket on a turbine wheel rotating at angular velocity N, as in Fig. P3.51. Derive an expression

for the power P delivered to this wheel at this instant as a function of the system parameters. At what angular velocity is the maximum power delivered? How would your analysis differ if there were many, many buckets on the wheel, so that the jet was continually striking at least one bucket?