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Mechanics · Machining

Spindle RPM and cutting speed

Use the effective diameter at the cutting point. The circumference relation gives the linear cutting speed directly.

Created v1.0

By Thibaut Grzelak, Mechanical Analysis Engineer

Machining
01Calculation inputsVc = π · D · n
DnVc
Input identificationUse the effective diameter at the cutting point. The circumference relation gives the linear cutting speed directly.
02

Results

Spindle speed
—

Rotational speed corresponding to the diameter and cutting speed.

Cutting speed
—

Tangential speed at the effective diameter.

Relation and numerical substitutionVc = π · D · n

—

Diameter D is the effective diameter at the cutting point. Speed is assumed constant for the calculation. Permissible Vc depends on cutter, material and cutting conditions.

01Formulas and symbols

Formulas used

Vcπ · D · nCutting speed
nVc / (π · D)Spindle speed
02Assumptions and limits

Scope of validity

  • Diameter D is the effective diameter at the cutting point.
  • Speed is assumed constant for the calculation.
  • Permissible Vc depends on cutter, material and cutting conditions.
03Validation example

Reference numerical case

  1. D = 10 mm and n = 3,000 rpm.
  2. Vc = π × 0.010 × 3,000 = 94.248 m/min.
04References

Technical references

  1. Circumferential relation Vc = πDn.
  2. Check recommended cutting speeds against the cutter manufacturer’s data.

Calculation path and sources

Machining parameters should be connected to the process, material, tool and manufacturer data.

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External technical sources