The design of a single-stage axial-flow turbine is to be based on constant axial velocity with axial discharge from the rotor blades directly to the atmosphere. The following design values have been specified: Mass flow rate 16.0 kg/s Initial stagnation temperature, T01 1100 K Initial stagnation pressure, po1 230 kN/m Density of blading material, pm 7850 kg/m Maximum allowable centrifugal stress at blade root 1.7 x 10 N/m Nozzle profile loss coefficient, YP = (P01- P02)/(P02 - P2) = 0.06 Taper factor for blade stressing, K = 0.75 In addition the following may be assumed: Atmospheric pressure, p3 102 kPa Ratio of specific heats, y 1.333 Specific heat at constant pressure, Cp 1150 J/(Kg K) In the design calculations values of the parameters at the mean radius are as follows: Stage loading coefficient, = AW/U =1.2 Flow coefficient,= Cx/U= 0.35 Isentropic velocity ratio, U/C =0.61 where Co (2 (h01 - h3ss)) 0.5 Determine (i) the velocity triangles at the mean radius; (ii) the required annulus area (based on the density at the mean radius); (iii) the maximum allowable rotational speed; (iv) the blade tip speed and the hub-tip radius ratio.