Find out the shaft speed and the overall impeller dimensions for liquid oxygen pump which delivers 300 lb/sec of propellant at the discharge pressure of 1200 psia and suction pressure of 14.7 psia. The oxygen tank is pressurized to 50 psia. Neglect the friction in the suction pipe and the suction head changes due to acceleration and propellant consumption. The initial tank level is 10 ft above the pump suction inlet.