A pump that was designed for agricultural irrigation is to be scaled down for use in recirculation of water in a small aquarium for pet fish. The irrigation pump supplies 600 gpm at 100 ft of head and...

A pump that was designed for agricultural irrigation is to be scaled down for use in recirculation of water in a small aquarium for pet fish. The irrigation pump supplies 600 gpm at 100 ft of head and is a well-designed pump, with an efficiency of 75% at 1200 rpm. The aquarium pump must deliver 6 gpm at 5 ft of head.   a. Find the proper speed and diameter for the aquarium pump.   b. Estimate the efficiency of the aquarium pump.   c. How do you expect the small pump to deviate from the simple scaling laws?