Cutting speed to RPM calculator

Surface speed is a property of the material and the tool. Spindle speed is what you dial in, and it depends on diameter.

m/min

Mild steel with HSS about 30; with carbide 150. Aluminium 300 or more.

Spindle speed
3183rpm
≈ Rounded Cutting speed and RPM
Feed rate
636.6 mm/min
Feed rate in inches per minute
25.064
Surface speed in feet per minute
328.1
Feed per revolution
0.2000
Rough material removal rate For a full-diameter, full-depth slot.
64 mm3/min
Show the working
  1. Surface speed = 100
  2. Tool or work diameter = 10
  3. Number of flutes = 4
  4. Chip load per tooth = 0.05
  5. Spindle speed = 100 * 1000 / (pi * 10) = 3183.1
  6. Feed rate = 3183.1 * 4 * 0.05 = 636.62
  7. Surface speed in feet per minute = 100 * 3.280839895013123 = 328.084
  8. Feed per revolution = 4 * 0.05 = 0.2
  9. Rough material removal rate = 636.62 * 10 * 10 / 1000 = 63.662
  10. Feed rate in inches per minute = 636.62 / 25.4 = 25.0638

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • rpm = surface speed x 1000 / (pi x diameter in mm)
    • feed rate = rpm x flutes x chip load

    Chip load matters more than feed rate. Too light a chip rubs instead of cutting and work-hardens the material.

    Surface speeds are a starting point from the tool maker, not a law. Rigidity, coolant and depth of cut all move them.

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