Paritian

Mechanics

Cutting Speed and RPM Calculator

Convert between surface cutting speed and spindle speed for a given tool or workpiece diameter.

Results

Speed 301.59 m/min
Rotational speed rpm
Diameter mm

What this tool does

Tooling catalogues recommend a cutting speed in metres per minute, but the machine is set in revolutions per minute, and the bridge between them is the diameter. Fill any two of the three fields and the third is calculated.

Formula

vc = π × d × n ÷ 1000

Variables

SymbolMeaningUnit
dDiametermm
nRotational speedrpm
vcSpeedm/min
VCSpeedm/min
NRotational speedrpm
DDiametermm

Worked example

  • Diameter80 mm
  • Rotational speed1200 rpm
  • Speed301.59 m/min

Limitations

  • Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.
  • For work that must comply with a standard or be signed off, check the result against the applicable code and have it reviewed by a qualified engineer.