Consider a single stage of a repeating stage axial gas turbine. The flow is assumed to have a constant axial velocity of $50$ m$/$s$.$ The turbine has a mean radius of $80$ cm and it rotates with $3600$ RPM$.$ At the mean radius, the inlet blade angle of the stator is $-20$C$,$ the outlet blade angle of the stator is $50$C$.$ Calculate and draw the velocity triangles in both the absolute frame and the moving frame of reference for the locations: before the stator, after the stator, after the rotor.