A Francis turbine has a net head of 60 m at the inlet and operates at 420 RPM. The outer diameter of the turbine is 0.9 m and the inner diameter is 0.45 m. It is known that the flow rate at the turbine inlet and outlet is constant. Since the hydraulic efficiency of the turbine is 80%, the volumetric flow rate is 10 m^3/s and the flow rate is 0.35, for this turbine with radial output flow;
a) Draw the inlet and outlet velocity triangles of the turbine
b) Find the angle of the impeller blade and the angle between the relative speed at the inlet and the rotor speed
c) Find the angle between the relative speed at the outlet and the rotor speed
d) Find the absolute velocity at the entrance
e) Since the mechanical efficiency is 85%, find the amount of power produced by the turbine.