To begin, you either know already, or you are about to find out, that Pi equals approximately 3.14.
I say Pi is 3.14 approximately because we understand that the number actually has been solved out to 2,000,000 places past the decimal point, and the number is still growing! I opted not to put all the numbers available behind the 3.14 here.
Hope you'll understand :-) !
For simplicity's sake in determining air cylinder consumption though, I have chosen to ignore that difference.
The formula to use to determine the area of a circle is:
or, 3.14 x the radius squared
Our example will be a 2.5" bore air cylinder.
A 2.5" bore cylinder will have: 3.14 x r2(1.25 x 1.25) or, 4.90 square inches of surface area on the piston face.
We will make the stroke 10". That means that this cylinder holds 4.9 x 10, or 49 cubic inches of compressed air.
If we extend and retract this cylinder one cycle that is a total of 98 cubic inches of air we would need for one extension and one retraction.
98 cubic inches of air x 10 complete cycles per minute = 980 cubic inches of air consumed per minute
Therefore, 980 cu inches divided by 1728 = .6 cubic feet of air.
My rule of thumb:
That being the case, this cylinder (2.5" bore x 10" stroke - 10 cycles per minute) will need approximately 3 CFM of compressed air to run continuously.
Since 1 HP of compressor motor generates about 4 CFM at 90 PSI, you can see that the use of air cylinders will quickly eat up compressor capacity. On a high speed machine with multiple cylinders, air consumption can be staggering.
Don't forget, for manufacturer specific cylinder air consumption numbers, you can certainly ask the air cylinder manufacturer too.