A Francis turbine working under a head of 10 \(\mathrm{m}\). The overall efficiency is \(75 \%\) and power required to produce \(180 \mathrm{~kW}\). The peripheral and radial velocities at inlet are \(0.3 \sqrt{2 g H}\) and 0.96 \(\sqrt{2 g H}\), respectively. The wheel runs at \(200 \mathrm{rpm}\) and hydraulic efficiency of the turbine is \(84 \%\). Assuming radial discharge, find: (i) the guide blade angle, (ii) vane angle at inlet, (iii) diameter of the wheel at the inlet, and (iv) width of the wheel at the inlet.