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Milling speeds and feeds calculator

Spindle speed comes from the cutting speed the tool can take. Feed rate comes from the chip load each tooth can take. Here are the formulas, a worked example, and when to correct for chip thinning.

Spindle speed (RPM)

Cutting speed is how fast the cutting edge moves across the material. In inch shops it is given in surface feet per minute (SFM); in metric shops it is Vc in meters per minute.

RPM = (SFM × 3.82) ÷ Din
RPM = (Vc × 1000) ÷ (π × Dmm)

3.82 is 12 ÷ π, which turns feet into inches around the circumference. Take the starting SFM or Vc from the tool maker's data for the material, then adjust from what you see and hear in the cut.

Feed rate (IPM or mm/min)

Feed = RPM × flutes × chip load per tooth

With chip load in inches per tooth the result is inches per minute (IPM); with mm per tooth it is mm/min.

Worked example

A 1/2" three-flute carbide end mill in 6061 aluminum at 800 SFM and 0.004" per tooth:

StepCalculationResult
Spindle speed800 × 3.82 ÷ 0.56,112 RPM
Feed rate6,112 × 3 × 0.00473.3 IPM

Radial chip thinning

When the width of cut (radial engagement, ae) is less than half the tool diameter, the chip is thinner than the feed per tooth. Running the book chip load then rubs instead of cuts, which wears tools and causes heat. Raise the feed per tooth to get the chip thickness you want:

Adjusted chip load = chip load × D ÷ (2 × √(D × ae − ae²))

Example: a 1/2" end mill at 0.050" width of cut (10% step-over). √(0.5 × 0.05 − 0.05²) = 0.15, so the factor is 0.5 ÷ 0.30 = 1.67. A 0.004" target chip needs about 0.0067" per tooth.

Metal removal rate

MRR (in³/min) = width of cut × depth of cut × IPM

Multiply MRR by the material's unit power to estimate spindle horsepower, and check it against what the machine can deliver at that RPM.

Skip the math. The app's milling calculators do spindle speed, SFM, feed rate, chip thinning, ball end mill effective diameter, cusp height, metal removal rate and horsepower, in inch or metric.

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Formulas give a starting point. Tool maker data, machine rigidity, workholding and stick-out decide the final numbers.