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Request A ToolConvert a known cutting speed into RPM using the effective cutting diameter. This is a rotation calculation, not a material recommendation. Enter cutter diameter for milling or drilling and workpiece diameter for conventional turning.
Convert a known cutting speed into RPM using the effective cutting diameter. This is a rotation calculation, not a material recommendation. Enter cutter diameter for milling or drilling and workpiece diameter for conventional turning. Keep the diameter and source cutting-speed units visible when comparing two setups, especially if one tooling chart uses inches and the other uses millimetres.
Check cutting speed and the diameter at the cutting edge.
Metric: RPM = 1000 × Vc ÷ (π × D). Imperial: RPM = 12 × SFM ÷ (π × D).
Enter the values you know. The result is calculated in your browser.
Calculation only. Verify toolmaker data, material grade, engagement, machine limits, workholding and actual cutting conditions before production.
Review the additional variables shown in this tool.
Enter the values you know. The result is calculated in your browser.
Calculation only. Verify toolmaker data, material grade, engagement, machine limits, workholding and actual cutting conditions before production.
Metric: RPM = 1000 × Vc ÷ (π × D). Imperial: RPM = 12 × SFM ÷ (π × D).
An illustrative cutting speed of 100 m/min and diameter of 10 mm give 3,183 RPM. At 20 mm, the same cutting speed gives 1,592 RPM. Doubling diameter halves RPM when cutting speed is held constant.
The shank diameter is not always the cutting diameter. For a rotating workpiece, a change in machined diameter changes the relationship between RPM and surface speed. Check which diameter the toolmaker formula expects.
A spindle ceiling changes actual cutting speed. With 10 mm diameter and a 2,000 RPM ceiling, actual speed is about 62.8 m/min. Check whether that condition is appropriate rather than treating the cap as a machining recommendation.
Check the formula reference or report a result that does not match your calculation.
Illustrative arithmetic only. Select cutting inputs from the applicable tool and material reference.
| Step | Substitution | Result |
|---|---|---|
| RPM | 1000 × 100 ÷ (π × 10) | 3,183.10 RPM |
RPM varies inversely with diameter. Entering a shank diameter where an effective cutting diameter is required changes the result even when the surface-speed input is correct. Keep full precision until the final RPM is chosen. The reverse cutting-speed calculation can check the surface speed at that command.
Formula reference: Sandvik Coromant milling formulas and definitions. Use the exact tool supplier for recommended cutting values.
RPM and spindle speed name the same rotational quantity in this calculation. A milling spindle speed calculation uses the cutter diameter; drilling uses drill cutting diameter. On a conventional lathe, use workpiece diameter at the cut. The CNC spindle speed formula remains a cutting-speed-to-diameter conversion rather than a decision about which cutting speed is suitable.
Check whether the calculated spindle speed is available on the actual machine. If a limit reduces RPM, calculate the resulting surface speed with the cutting speed calculator. For milling, recalculate linear feed from the actual RPM if you intend to preserve nominal feed per tooth. A numerical ceiling does not establish a suitable cutting condition.
In this calculation they describe the same result (revolutions per minute). Surface speed and diameter are the inputs. Feed rate is a separate quantity.
The actual surface speed is lower. The advanced panel shows that surface speed at the entered ceiling. Revisit the tool data and, for milling, recalculate feed using actual RPM.
Describe the calculation your workflow needs, the inputs you already have and the output you want to check. Include units and an example without confidential job details.
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