A The static pressure and static temperature at the inlet of a normal axial compressor stage are 80 kPa and 300 K, respectively. The air angles are = 45, =12, a3 = 9. The mean diameter and blade speed are 0.5 m and 120 m/s, respectively. Mass flow rate through the stage is 25 kg/s. (a) Determine a2 and draw the velocity diagrams at the inlet and outlet of the rotor. (5 points) Determine (b) The axial velocity and the absolute velocity at the stage inlet. (3 points) (c) The blade height at the stage inlet. (3 points) Take: R=287 J/kg.K; k = 1.4; Cp = 1005 J/kg.K