cot [theta] = (w_i - V_i)/u_i = (0.82 - 0.5)/0.45 = .71;
[theta] = 55°.
The relative velocity of the water striking the vane at the inlet edge
is v_(ri) = u_i cosec[theta] = 1.22 u_i. This relative velocity remains
unchanged during the passage of the water over the vane; consequently
the relative velocity at the point of discharge is v_(ro) = 1.22 u_i.
Also in an axial flow turbine V_o = V_i.