A 5-inch diameter centrifugal pump operating at 1000 RPM is geometrically similar to another 7.5 inch diameter pump when operating at 1400 RPM. The working fluid is water for both cases. Calculate the flow rate, head and brake power for the smaller pump if the flow rate, head and brake power for the largest diameter pump is 1000 gal/min, 50 ft and 15 hp respectively considering the point of operation previously described.

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Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.