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American University of Armenia Physics Centrifugal Pump Question

Overview

I’m stuck on a Physics question and need an explanation.

Question:

A centrifugal pump provides a flow rate of 500 GPM when operating at 1760 rpm against a 200 ft head. Determine the pump's, a) Flow rate, b) Developed head and, c) Pump power if the speed increased to 3500 rpm?