A worm raises a weighted arm toward a release position, after which gravity can drive the jump. Compare the static gravity torque at an entered arm angle with an assumed resisting torque.
Worm-gear Jumping Motion With Weight Interactive Calculator
Enter mass, arm length, release angle and resisting torque. Compare gravity torque, torque difference and the mass required to balance the entered resistance where gravity acts in the driving direction.
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 Weight Works
The schematic shows the weighted arm approaching and passing the top position. The calculator compares torques at the selected angle; it does not calculate the speed or impact of the jump.
What This Calculator Represents
The comparison is static at one selected angle. A positive torque difference alone does not establish reliable release. Friction, contact, acceleration, impact, strength and fatigue are not calculated. Interpret the torque ratio only for positive resistance and the balancing mass only where gravity acts in the driving direction.
Calculation Method
Gravity torque = mass × g × arm length × sin(angle), with g = 9.80665 m/s². Torque difference = gravity torque − resisting torque. For positive resistance, the torque ratio is gravity torque / resisting torque. Where g × arm length × sin(angle) is positive, balancing mass = resisting torque / [g × arm length × sin(angle)].
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 comparison is static at one selected angle. A positive torque difference alone does not establish reliable release. Friction, contact, acceleration, impact, strength and fatigue are not calculated. Interpret the torque ratio only for positive resistance and the balancing mass only where gravity acts in the driving direction.
Frequently Asked Questions
Does a positive torque difference guarantee a jump?
No. It shows only that the ideal gravity torque exceeds the entered resistance at that angle. Contact and dynamic effects are not modeled.
When is the balancing-mass result meaningful?
Use it only where gravity acts in the driving direction, so arm length times the sine of the angle is positive. At a dead-centre position, this simple balance cannot determine a driving mass.
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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