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 20K and an axial velocity of 150m/s, both constant from root to tip. 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. 2. Recalculate the stage air angles for the same data in previous question for a stage with 50% reaction at all radii and compare the results with those for the free vortex design.