Meriam, Kraige & Bolton — Kinetics of Systems of Particles: Problem 4_93

4/93 The centrifugal pump handles $20 \text{ m}^3$ of fresh water per minute with inlet and outlet velocities of $18 \text{ m/s}$. The impeller is turned clockwise through the shaft at $O$ by a motor which delivers $40 \text{ kW}$ at a pump speed of $900 \text{ rev/min}$. With the pump filled but not turning, the vertical reactions at $C$ and $D$ are each $250 \text{ N}$. Calculate the forces exerted by the foundation on the pump at $C$ and $D$ while the pump is running. The tensions in the connecting pipes at $A$ and $B$ are exactly balanced by the respective forces due to the static pressure in the water. (Suggestion: Isolate the entire pump and water within it between sections $A$ and $B$ and apply the momentum principle to the entire system.)