Involute Function Calculator

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Math

The Involute Function Calculator computes inv(α) = tan α − α (with α in radians), used in gear tooth geometry. Enter the pressure angle in degrees.

Formula

inv(α) = tan α − α (α in radians)
  • The involute function is central to involute gear tooth profiles.
  • The pressure angle is entered in degrees and converted to radians.

α = 20°

Inputs
  • Angle α: 20 °

inv(20°) = tan(0.3491) − 0.3491 ≈ 0.014904.

Frequently asked questions

Where is the involute function used?
In gear design, to locate points on an involute tooth profile from the pressure angle.