A Kaplan turbine designed with a shape factor (power specific speed) of 3.0 (rad), a runner tip diameter of 4.4 m, and a hub diameter of 2.0 m operates with a net head of 20 m and a shaft speed of 150 rpm. The absolute flow at runner exit is axial. Assuming that the hydraulic efficiency is 90% and the mechanical efficiency is 99%, determine
a. the volume flow rate and shaft power output;
b. the relative flow angles at the runner inlet and outlet at the hub, at the mean radius and at the tip.