You must specify a pump to be used to transport water at a rate of $5000 \mathrm{gpm}$ through 10 miles of 18 in. sch 40 pipe. The friction loss in valves and fittings is equivalent to $10 %$ of the pipe length, and the pump is $70 %$ efficient. If a $1200 \mathrm{rpm}$ motor is used to drive the pump, determine

(a) The required horsepower and torque rating of the motor

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