2. An axial compressor stage is being designed. At the mean radius, the degree of reaction is 0.5, c,/U is 0.6, the wheel speed U is 350 m/s, and the rotational speed 2 is 5000 s'. The absolute velocity c, makes an angle of 15 with the axial direction (i.e., a, is 15; positive in the direction of U). The inlet stagnation conditions are 1 atm and 300 K, and the stage efficiency is estimated to be 90%. a) Determine the exit state (T3, Pos) and the pressure coefficient C, for the rotor. If the maximum acceptable C, is 0.5, would this rotor design meet that criterion? b) The swirl distribution is given by rc, = ar' +b both at station 1 and at station 2. Show that a, must equal az. If b,=0, determine b;. c) If the hub radius is 90% of the mean radius, draw the hub velocity triangles, including determination of c,, U, and the key angles. Determine the degree of reaction and compare to the value at the mean radius. What is the rotor pressure coefficient at the hub?