Knurling forms a pattern by pressure, so it has its own speed rules and a tracking constraint that turning does not. This calculator gives the spindle RPM from a sensible surface speed, estimates infeed and passes, and checks that the diamond will actually close on your diameter.
How it works
The spindle speed uses the standard surface-speed relationship, the same one used for turning:
RPM = (SFM × 12) / (π × diameter)
circumference = π × diameter
teeth around = circumference × knurl TPI
passes = ceil(total form depth / infeed per pass)
Knurling runs slow — roughly 100 to 150 SFM for steel — because it displaces metal
rather than shearing it. The pattern only closes cleanly when teeth around is a
whole number; otherwise the second revolution lands its teeth between the first
set and you get a doubled, muddy diamond.
The tracking check
Multiply the circumference by the wheel’s teeth per inch. If the result is close to a whole number the pattern tracks. If it is not, the tool reports the nearest diameters above and below that do divide evenly, so you can pre-turn the blank a few thousandths to land on a clean count.
Example and tips
Knurling a 0.500 inch diameter at 120 SFM gives RPM = (120 × 12) / (π × 0.5) ≈ 917 RPM. With a 20 TPI wheel the circumference is 1.571 inch, so teeth around is 1.571 × 20 = 31.4 — not a whole number, so it double-tracks. Turning the blank to about 0.493 inch lands on 31 teeth exactly. Apply firm, steady infeed and flood with cutting oil; light passes that never reach full depth cause flaking.