At inlet of a centrifugal compressor eye, the relative Mach number is to be less than 0.97 to eliminate the formation of shock waves and its attendant losses. The hub to tip radius ratio of the inducer is 0.4. There is no IGV and the inlet velocity is axial and uniform over the impeller eye. The eye tip diameter is 20 cm. Determine a. The maximum mass flow rate throughout for a given rotational speed of 486 rps b. The blade angle at the inducer tip corresponding to this mass flow rate (Take air inlet conditions to be 101.3 kPa, 288 K.)