5. An axial turbine whose hub-tip ratio is 0.57 has a flow coefficient of 0.5, a work ratio Aho/U = 1.0, and a degree of reaction of 0.5, all at mean radius. a. If a free-vortex angular momentum distribution is used, determine the degree of reaction at the hub. Is there danger of pressure rise in the rotor? b. If a forced-vortex distribution (c, Kr) were to be adopted and the degree of reaction at the root set equal to zero, how would you determine the hub velocity triangles?