PROBLEM#1: The air entering the impeller of a centrifugal compressor has an absolute axial velocity of 100m/s. At rotor exit the relative air angle measured from the radial direction is 26°36', the radial component of velocity is 120m/s and the tip speed of the radial vanes is 500m/s. Determine the power required to drive the compressor when the air flow rate is 2.5 kg/s and the mechanical efficiency is 95%. If the radius ratio of the impeller eye is 0.3, calculate a suitable inlet diameter assuming the inlet flow is incompressible. Determine the overall total pressure ratio of the compressor when the total-to-total efficiency is 80%, assuming the velocity at exit from the diffuser is negligible.