At what speed, in rpm, does a single cylinder pump with a 1.0-in diameter piston and a

Question:

At what speed, in rpm, does a single cylinder pump with a 1.0-in diameter piston and a 2.5-in stroke need to be run to provide 20 gal/min of flow?

A piston/cylinder arrangement like the one shown in Fig. 1.7 is used to pump liquid. It moves a volume of liquid equal to its displacement, which is the area of the piston face times the length of the stroke, for each revolution of the crank. Perform the following calculations.

Position 1 Cylinder Position 2 Bore Stroke