
Written and maintained by the PhDino author · Last reviewed 21 September 2026 · Checked against 2 independent reference calculations · how PhDino checks its numbers
Converting a material's recommended cutting speed into the spindle RPM and feed rate a CNC machine actually runs at.
Cutting speed (surface feet per minute, SFM) describes how fast the cutting edge of a tool should move through the material being cut — a property of the material and tool combination, not of any particular machine. A tougher, harder material generally wants a lower SFM; a softer, more machinable one tolerates a higher SFM without excessive tool wear or heat.
A CNC machine doesn't take SFM directly, though — it needs spindle speed in RPM, which depends on both the target SFM and the specific tool's diameter, since a larger-diameter tool covers more surface distance per revolution than a smaller one at the same RPM.
Feed rate — how fast the tool advances through the material — is a separate setting from spindle speed, built from chip load: how thick a chip each cutting edge (flute) should take per revolution. Multiply that by the number of flutes and the RPM, and the result is the linear feed rate the machine actually moves at.
RPM = (SFM × 12) ÷ (π × tool diameter) Feed rate (IPM) = RPM × number of flutes × chip load per tooth
Use this to turn the numbers a tool manufacturer publishes, a cutting speed in surface feet per minute and a chip load per tooth, into the two settings you actually enter on a machine: the spindle speed in RPM and the feed rate in inches per minute.
Take the SFM and chip load from the tool maker's chart for your tool and your material, then enter your tool's diameter and flute count. The calculator only converts; it does not know whether your machine, holder or workpiece can handle the result.
A 0.50 in, 3-flute carbide end mill is cutting 6061 aluminum. A conservative starting point from the tool chart is 600 SFM and a chip load of 0.004 in per tooth. What spindle speed and feed rate should be programmed?
| You enter | Value |
|---|---|
| Cutting Speed (SFM) | 600 SFM |
| Tool Diameter | 0.5 in |
| Number of Flutes | 3 |
| Chip Load per Tooth | 0.004 in/tooth |
| The calculator returns | Value |
|---|---|
| Spindle Speed | 4,584 RPM |
| Feed Rate | 55.0 IPM |
Worked by hand:
Program about 4,584 RPM and 55 IPM as a starting point. The spindle speed is within the range of most machines, but a smaller tool at the same SFM needs much more: a 1/4 in cutter would call for about 9,167 RPM, which may be above what a machine can turn. Halving the chip load would halve the feed to 27.5 IPM, and a 4-flute cutter at the same chip load would feed at 73.3 IPM.
The published SFM and chip load are recommendations for a rigid setup and a fully engaged cut, and the numbers here are exactly as good as the values you feed in. They are a starting point to adjust by sound, chip shape and tool wear.
Surface feet per minute is how fast the cutting edge moves past the material at its outer diameter. Converting it to RPM depends on the tool diameter, which is why the same SFM gives a higher RPM for a smaller cutter.
The thickness of the chip each cutting tooth removes on each revolution, in inches per tooth. It sets the feed rate together with RPM and the number of flutes, and it is what actually determines whether the tool cuts cleanly or rubs.
Speed converts the same way (RPM from SFM and diameter). For drills the feed is normally specified per revolution rather than per tooth, so use the Drilling Cycle Time calculator for hole cycle times.
A feed rate falls in proportion to the number of flutes and the chip load, so a smaller chip load, fewer flutes or a lower spindle speed all reduce it. Check each input against the tool chart.
On the art of cutting metals Taylor, F. W. (1906), Transactions of the ASME. The experiments that tied cutting speed to tool life, the relationship behind every speeds-and-feeds recommendation since.
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Machinery's Handbook: Toolbox Edition by Oberg, Jones, Horton et al. — The definitive shop reference for speeds, feeds, threads, drill sizes, and tolerances. (Bookshop.org UK, UK delivery only)
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