Cutting Data Calculator: milling, drilling and turning
Calculate spindle speed, cutting speed, feed, material removal rate and theoretical machining time. Free, no registration, entirely in your browser.
Operation scope
Milling: linear engagement with known effective diameter. Turning: external longitudinal cut at fixed n and D; volume from removed annular area. Drilling: solid material; reaming: differential area using D₀. Threads: synchronised feed from lead; no volume or power calculation. Thread milling and constant-surface-speed facing are not included.
Formulas and units
| Quantity | Formula | Unit |
|---|---|---|
| n | 1000 × Vc / (π × D) | min⁻¹ |
| Vc | π × D × n / 1000 | m/min |
| D | 1000 × Vc / (π × n) | mm |
| Vf · mill | n × z × fz | mm/min |
| Vf · drill / turn / ream | n × f | mm/min |
| Vf · tap / form | n × l | mm/min |
| fz | Vf / (n × z) | mm |
| f | Vf / n | mm |
| z | Vf / (n × fz) | — |
| Q · mill | ap × ae × Vf / 1000 | cm³/min |
| ap · mill | 1000 × Q / (ae × Vf) | mm |
| ae · mill | 1000 × Q / (ap × Vf) | mm |
| Q · drill | π × D² × Vf / 4000 | cm³/min |
| Q · turn | π × ap × (D − ap) × Vf / 1000 | cm³/min |
| Q · ream | π × (D² − D₀²) × Vf / 4000 | cm³/min |
| t | L × passes / Vf | min |
| Pc | Q × kc / 60000 | kW |
Worked calculation examples
Example inputs are for checking calculations only, not machining recommendations.
- Milling: D = 10 mm; n = 3000 min⁻¹; z = 4; fz = 0.05 mm; ap = 2 mm; ae = 5 mm → Vc ≈ 94.248 m/min; Vf = 600 mm/min; Q = 6 cm³/min. L = 120 mm → t = 0.2 min = 12 s.
- Drilling into solid: D = 10 mm; n = 1000 min⁻¹; f = 0.1 mm/rev → Vf = 100 mm/min; Q ≈ 7.854 cm³/min.
- External longitudinal turning: D = 50 mm; n = 1000 min⁻¹; f = 0.2 mm/rev; ap = 1 mm → Vf = 200 mm/min; Q ≈ 30.788 cm³/min.
- Cut tapping: n = 500 min⁻¹; l = 1.25 mm/rev → Vf = 625 mm/min. L = 20 mm → t = 1.92 s; 2t = 3.84 s.