2. An axial flow compressor stage has blade root, mean and tip velocities of 150, 200 and 250 m/s. The stage is to be designed for a stagnation temperature rise of 20 K and an axial velocity of 150 m/s, both constant form root to tip. The work-done factor is 0.93. (a) (3 points) Assuming 50 percent reaction at mean radius, calculate the stage air angles at root, mean and tip and the degree of reaction at root and tip for a free vortex design. (b) (3 points) Assuming 50 percent reaction at all radii, recalculate the stage air angles at root and tip and compare with those in part 1.