Each worm revolution advances a wheel by the entered number of starts. The ideal reduction is wheel teeth divided by worm starts.
Worm Gear Interactive Calculator
Enter wheel tooth count and worm starts. Results are ideal kinematics—not efficiency, load capacity, backlash or self-locking.
Ideal N/s reduction
--
Turns per wheel revolution
--
Ideal wheel angle per worm turn
--
Starts/teeth advanced per turn
--
Equation Used
ratio=N/s; worm turns per wheel rev=N/s; wheel step=360s/N; tooth advance=s.
Integer teeth and starts define ideal indexing. Geometry, module, lead angle and contact are omitted.
- Wheel teeth and worm starts are positive entered counts.
- One worm revolution advances s teeth ideally.
- No slip or backlash is represented.
- Axes and tooth geometry are only schematic.
- Efficiency, torque, wear, heat and self-locking are omitted.
Ideal Worm Indexing
The marker advances the wheel by the entered start count per worm turn.
What This Represents
Ideal tooth-count kinematics only.
Ideal Ratio and Angular Advance
i=N/s
Delta theta=360s/N
Delta theta=360s/N
Worked Scenario
A 40-tooth wheel and single-start worm give 40:1 reduction and 9 degrees per worm turn.
Model Boundary
No module, lead angle, contact, efficiency, torque, backlash or strength is calculated.
Frequently Asked Questions
Does a two-start worm advance two teeth?
Ideally, yes.
Is efficiency included?
No.
Is self-locking predicted?
No.
Are tooth forces solved?
No.
Is backlash included?
No.
Can this size a gearset?
No.
References
Building or designing a mechanism like this?
Explore the precision-engineered motion control hardware used by mechanical engineers, makers, and product designers.
