From your prior analysis of pumping requirements for a water circulating system, you have determined that a pump capable of delivering $500 \mathrm{gpm}$ at a pressure of $60 \mathrm{psi}$ is required. If a motor operating at $1800 \mathrm{rpm}$ is chosen to drive the pump, which is $70 %$ efficient, determine

(a) The required horsepower rating of the motor

(b) The required torque rating of the motor

(c) The diameter of the impeller that should be used in the pump

(d) What color the pump should be painted