A partial worm drives part of an indexing step, while a spring-loaded tumbler supplies the remaining jump. Explore the ideal step angle and timing from tooth count, cycle time and the entered engagement arc.
Worm-gear Jumping Motion with Tumbler Interactive Calculator
Enter cycle time, tooth count, worm engagement arc and jump angle. Compare steps per minute, step angle, worm-driven angle and the corresponding engagement time.
Equation Used
- Inputs are user-supplied scenario values.
- The displayed equations are evaluated directly.
- Entered efficiencies, shares, limits and factors are not predicted.
- The visual is schematic and not dimensional.
- Strength, fatigue, wear, variation, controls and safety compliance are omitted unless explicitly calculated.
How the Worm-gear Jumping Motion with Tumbler Works
The schematic separates the driven portion of a step from the tumbler jump. The timing calculation assumes one indexing step per complete entered cycle; it does not solve spring dynamics or tooth engagement.
What This Calculator Represents
The engagement arc and jump angle are inputs. Timing assumes a uniform cycle and does not predict contact, spring force, acceleration, impact, wear or reliable engagement.
Calculation Method
Step rate = 60 / cycle time in seconds. Step angle = 360° / tooth count. Worm-driven angle = step angle − jump angle, with the jump limited to one step. Engagement time = cycle time × engagement arc / 360°.
How to Read the Result
Change one input at a time to compare its effect. Apply the assumptions stated beside the equations when interpreting each result.
Assumptions and Limits
The engagement arc and jump angle are inputs. Timing assumes a uniform cycle and does not predict contact, spring force, acceleration, impact, wear or reliable engagement.
Frequently Asked Questions
Does the engagement time predict the snap duration?
No. It converts the entered worm engagement arc into a fraction of the cycle. The spring-driven jump dynamics are not calculated.
Can the entered jump angle exceed one indexing step?
The calculation limits the jump to the step angle set by tooth count. The remaining step angle is assigned to worm drive.
Is the drawing suitable for manufacturing?
No. It is a schematic explanation and does not specify manufacturing dimensions, tolerances or materials.
Can these results establish a safe working load?
No. Strength, fatigue, wear, operating conditions and the complete assembly must be assessed separately.
References
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