Involute

nounStandard termGears

The curve traced by the end of a taut string unwound from a circle, the shape of almost every gear tooth flank.

The standard tooth profile, generated as a point on a taut line unwrapping from the base circle. Two involute gears transmit motion at a constant speed ratio, and that ratio does not change if the center distance shifts slightly, which makes the form forgiving to build and mount. Involute teeth can also be generated by a straight-sided rack cutter, which is why hobs and rack cutters have straight flanks.

Heard on the job

Profile trace shows the involute's fine through the middle, the problem's all in the tip relief.

Insider tip

Because involute flanks can be generated by a straight-sided rack, one hob cuts every tooth count of the same pitch and pressure angle.

Also heard as

  • involute curve
  • involute profile