Acentrifugal compressor with backward leaning blades develops a pressure ratio of 5: 1with an isentropic efficiency of 83 percent. the compressor runs at 15000 rpm. inducers are provided at the inlet of the compressor so that air enters at an absolute velocity of 120 m/s. the inlet stagnation temperature is 250 k and the inlet air is given a pre-whirl 22oto the axial direction at all radii. the mean diameter of the eye of the impeller is 250 mm and the impeller tip diameter is 600 mm. determine the slip factor and the relative mach number at the impeller tip