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Cutting Speed and Feed Rate Calculator: Formulas and Examples

Setting correct cutting parameters is the difference between 30-minute tool life and 8-hour tool life. This guide gives you the formulas, a starting parameter chart, and worked examples.

Core Formulas

Spindle speed from cutting speed:
RPM = (Vc × 1000) / (π × D)
Where Vc is cutting speed in m/min and D is diameter in mm

Feed rate from chip load:
Fr = fz × N × RPM
Where fz is feed per tooth (mm), N is number of flutes

Material removal rate (MRR):
MRR = ae × ap × Fr (cm³/min, with dimensions in mm)

Starting Cutting Speeds (Vc) by Material

Material Carbide Vc (m/min) HSS Vc (m/min)
Aluminum 6061 300–600 90–180
Mild steel (1018) 180–280 30–45
Stainless 304 120–180 20–30
Cast iron (gray) 100–200 25–40
Inconel 718 30–60 8–15
Titanium Ti-6Al-4V 60–90 15–25

Worked Example 1 — Turning

Turning a 50mm diameter shaft in 1045 steel with a CNMG carbide insert at Vc=220 m/min:
RPM = (220 × 1000) / (π × 50) = 1,401 RPM
Feed = 0.30 mm/rev × 1,401 = 420 mm/min

Worked Example 2 — Milling

Milling 6061 aluminum with a 12mm 3-flute carbide end mill at Vc=400 m/min, fz=0.12mm:
RPM = (400 × 1000) / (π × 12) = 10,610 RPM
Feed = 0.12 × 3 × 10,610 = 3,820 mm/min

Adjustment Factors

Multiply your starting parameters by these correction factors:

  • Interrupted cut: 0.7×
  • Roughing: 1.2× feed, 0.9× speed
  • Finishing: 0.7× feed, 1.1× speed
  • Worn tool: 0.85× speed
  • Coolant on (vs dry): 1.1× speed

Practical Tip

Always start at 80% of recommended speed and increase 10% at a time while monitoring tool wear, chip color, and surface finish. Blue chips = too hot; reduce speed. Stringy chips = wrong chip breaker geometry.

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