Worm Screw Rack: Animation and Lead-Speed Calculator

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A rotating screw advances an ideal rack by one entered lead per revolution. Torque and entered efficiency form an illustrative thrust quotient.

Worm Screw Rack Interactive Calculator

Enter lead, speed, torque, efficiency and lead angle. Thrust is an ideal power-balance quotient; the angle comparison is only 5° minus angle, not self-locking prediction.

0°

Ideal lead speed
--
Efficiency-scaled power quotient
--
Entered torque-speed power
--
Declared 5° minus angle
--

Equation Used

v=Ln/60; F=2pi T eta/(L/1000); Pin=2pi Tn/60; declared angle comparison=5-alpha.
Efficiency is entered. Actual self-locking depends on friction angle and geometry; the fixed five-degree reference is arbitrary.
  • Lead is axial advance per revolution.
  • Speed and torque are entered steady values.
  • Efficiency is an entered constant.
  • Five degrees is a declared comparison reference only.
  • Friction law, tooth geometry, backlash, strength, wear and dynamics are omitted.
Watch the Worm Screw Rack in motion
Video: Worm gear rack jack by Nguyen Duc Thang (thang010146) on YouTube. Used here to complement the diagram below.
Same mechanism and inputs as the interactive calculator.

Screw-to-Rack Lead and Motion

The rack advances one entered lead per worm revolution; thrust is an ideal power quotient.

What This Represents

Lead kinematics and an entered-efficiency scenario.

Lead and Power Equations

v=Ln/60
F=2pi T eta/L
Pin=2pi Tn/60

Worked Scenario

At 5 mm/rev and 120 rpm, ideal rack speed is 10 mm/s.

Model Boundary

No friction angle, true self-locking, tooth contact, backlash, heat, wear or strength is calculated.

Frequently Asked Questions

Does the angle comparison predict self-locking?

No; it is only 5° minus entered angle.

Is thrust guaranteed?

No.

Is efficiency predicted?

No.

Is backlash included?

No.

Are losses speed-dependent?

No.

Can this size a drive?

No.

References

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