An axial-flow pump delivers 40 ft3/s of air which enters at 20°C and 1 atm. The flow passage has a 10-in outer radius and an 8-in inner radius. Blade angles are α1 = 60° and β 2 = 70°, and the rotor runs at 1800 rpm. For the first stage, compute
(a) The head rise; and
(b) The power required.