A centrifugal pump with an 8 in. diameter impeller operating at a rotational speed of $1150 mathrm{rpm}$

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A centrifugal pump with an 8 in. diameter impeller operating at a rotational speed of $1150 \mathrm{rpm}$ requires $1.5 \mathrm{hp}$ to deliver water at a rate of $100 \mathrm{gpm}$ and a pressure of $15 \mathrm{psi}$. Another pump for water, which is geometrically similar but has an impeller diameter of $13 \mathrm{in}$., operates at a speed of $1750 \mathrm{rpm}$. Estimate the pump pressure, flow capacity, and power requirements of this second pump. (Under these conditions, the performance of both pumps is independent of the fluid viscosity.)

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