For a super easy, and easy to remember RPM calculation for HSS tooling I use the following:
SFM - Surface feet per minute, or the distance the circumference of the cutter (drill bits & end mills) should move in one minute - or the distance the OD of the part should move in a minute on a lathe.
Aluminum & plastic 250 SFM
Mild steel 125 SFM
Hard steel 65 SFM
RPM = (SFM * 12) / Pi*D (convert the SFM to inches and divide by the circumference of the bit/workpiece)
But to simplify, pretend Pi = 3. Cancel the 3 and 12 to change the formula to:
RPM = (SFM * 4) / D
So, a 1 inch cutter (or workpiece in a lathe) cutting aluminum = 250*4/1 or 1,000 RPM
0.25" cutter in steel = 125*4 / .25 = 500/.25 = 2,000 RPM
It's not perfect, but it'll get you in the ballpark. But for cast iron I'm not sure what SFM to use. Probably 125, but I never use the stuff.