An industrial centrifugal air compressor has 34 radial blades that has no pre-whirl. the tip speed of the blades is 300 m/s, and the radial component of the air velocity at the tip is 150 m/s. air is inducted at 101.3 kpa and a stagnation temperature of 305 k. the mass flow rate is 3 kg/s. consider the power input factor to be equal to 1.04 and a stagnation temperature at the compressor exit of 370 k, if the flow is isentropic. assume cp-1005 j/kg. k. find the power input to the compressor (in kw)