Computes the volume of air swept by the piston bore on each power stroke, converted from cubic inches to cubic feet per minute. The piston cross-sectional area is the full circular bore area \(\pi/4 \cdot D^2\). Only one stroke per cycle consumes compressed air.

\begin{equation}\label{eq:pneumatic-air-requirement-single-acting-volume} Q_{cyl} = \frac{\frac{\pi}{4} \cdot D^2 \cdot L \cdot n}{k_{in^3}} \end{equation}

Symbols

\(Q_{cyl}\)	Cylinder air intake volume per minute at cylinder conditions \([\unit{ \cubicFoot\per\minute}]\)
\(D\)	Inner bore diameter of the cylinder \([\unit{ \inch}]\)
\(L\)	Piston stroke length \([\unit{ \inch}]\)
\(n\)	Number of complete cycles per minute \([\unit{ \per\minute}]\)
\(k_{in^3}\)	Cubic inches per cubic foot (1728) \([\unit{ \inch\cubed\per\cubicFoot}]\)

Note: The factor \(\pi/4 \approx 0.7854\) is the ratio of a circle's area to the area of its circumscribed square. It is computed from \(\pi\) rather than the historical approximation of 0.785 used in legacy references. \(k_{in^3} = 1728 = 12^3\) is the exact number of cubic inches in one cubic foot (see physics::conversions::kFt3ToIn3).