Gears
Rack Travel per Pinion Revolution Calculator
Enter module and pinion teeth to calculate the theoretical rack displacement produced by one full pinion revolution.
Inputs
Formula
Rack displacement per pinion revolution
Worked example
Using the default values shown in the calculator, the same formula gives the following result. This is a quick sanity check for the calculation, not a design recommendation.
Inputs
- Pinion module
- 2 mm
- Pinion teeth
- 20 teeth
Result
- Rack travel per revolution
- 125.664 mm
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Continue your workflow with a related calculation.
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Calculate standard metric spur-gear reference diameter from module and number of teeth.
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Calculate spur-gear pitch-line velocity from reference diameter and rotational speed.
Frequently asked questions
Why is rack travel equal to pitch circumference?
One pinion revolution advances the rack by the circumference of the pinion reference circle under ideal rolling geometry.
Does profile shift change travel per revolution?
The standard reference relationship remains tied to module and tooth count; installation geometry and backlash can still affect positioning behavior.