Free Engineering Tool #206
Cutting Speed ↔ RPM Calculator
Convert between cutting speed (v) and spindle RPM (n). Enter either value plus tool/workpiece diameter for bidirectional calculation.
v = πDn / 1000
Bidirectional
Metric / Imperial
Results
Spindle RPM
—
Cutting Speed
—
Circumference
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Cutting Speed to RPM
The relationship between cutting speed and spindle RPM is:
- v — cutting speed (m/min)
- D — tool/workpiece diameter (mm)
- n — spindle speed (RPM)
RPM to Cutting Speed
Recommended Cutting Speeds
| Material | HSS (m/min) | Carbide (m/min) |
|---|---|---|
| Mild Steel | 25–35 | 100–200 |
| Stainless Steel | 15–25 | 60–120 |
| Cast Iron | 20–40 | 80–160 |
| Aluminium | 60–100 | 200–500 |
| Brass | 50–80 | 150–300 |
Example — Carbide milling cutter Ø50 in steel
Given: v = 150 m/min, D = 50 mm
n = 1000 × 150 / (π × 50) = 150000 / 157.08 = 955 RPM
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