In a \(50 \%\) reaction turbine stage running at \(50 \mathrm{rps}\), the exit angles are \(30^{\circ}\) and the inlet angles are \(50^{\circ}\). The mean diameter is \(1 \mathrm{~m}\). The steam flow rate is \(10^{4} \mathrm{~kg} / \mathrm{min}\) and the stage efficiency is \(85 \%\). Calculate

(a) the power output of the stage, \((b)\) the specific enthalpy drop in the stage and

(c) the percentage increase in the relative velocity of steam when it flows over the moving blades.