RPM To Cutting Speed
Calculator
mm
RPM
m/min
RPM: 0 | Vc: 0 m/min
Formula: Vc = π × D × RPM / 1000
Quick Answer
- Cutting Speed (Vc) = π × D × RPM / 1000
- Units:
- Diameter (D) → mm
- RPM → rev/min
- Cutting Speed (Vc) → m/min
Formula
V_c = frac
👉 Rearranged for RPM:
RPM = frac
👉 Where:
- Vc = Cutting Speed (m/min)
- D = Tool Diameter (mm)
- RPM = Spindle Speed
How to Use
- Enter tool diameter (mm)
- Enter spindle speed (RPM)
- Or input cutting speed to calculate RPM
- View real-time conversion
✔ Bidirectional calculation
✔ Suitable for milling, turning, drilling
✔ Instant engineering reference
Why Cutting Speed Matters
Cutting speed directly affects:
- Tool life
- Surface finish
- Machining efficiency
- Heat generation
👉 Too high → tool wear increases
👉 Too low → poor productivity
Typical Cutting Speed (Reference)
| Material | Carbide Tool (m/min) | HSS Tool (m/min) |
|---|---|---|
| Aluminum | 150 – 600 | 80 – 150 |
| Mild Steel | 80 – 180 | 20 – 40 |
| Stainless Steel | 60 – 120 | 15 – 30 |
| Titanium | 30 – 90 | 10 – 25 |
| Brass | 200 – 500 | 100 – 200 |
Example Calculation
Tool Diameter: 10 mm
Spindle Speed: 3000 RPM
Cutting Speed:
V_c = frac approx 94.2 m/min
Engineering Tips
Optimize your machining:
- Increase RPM for smaller tools
- Reduce RPM for hard materials
- Use recommended Vc from tooling supplier
- Combine with chip load calculator for best results
Applications
- CNC milling
- CNC turning
- Drilling operations
- Toolpath optimization
FAQ
What is cutting speed?
Cutting speed is the linear speed at which the cutting edge moves relative to the workpiece.
Why divide by 1000?
To convert mm/min into m/min.
Can I use inches?
This calculator uses metric units. Convert inches to mm first.
Is this applicable to all tools?
Yes, but optimal values depend on tool material and coating.
Related Calculators
- Feeds & Speeds Calculator
- Chip Load Calculator
- Material Removal Rate Calculator
