A large wind tunnel fan is designed for high speed flows at the room temperature of 20°C. The fan rotating at 6000 rpm. If the blade size from the center of rotation is 1.5 m, determine the Mach...

A large wind tunnel fan is designed for high speed flows at the room temperature of 20°C. The fan rotating at 6000 rpm. If the blade size from the center of rotation is 1.5 m, determine the Mach number for the velocity at the tip of the fan blade. Also determine the corresponding Cauchy number. Hint: Speed of sound in air = 20.04 (T)°-5 m/s, where T is temperature in Kelvin.