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Gear Ratio Calculator

Enter tooth counts and input speed to estimate ratio, output speed, and torque (incl. efficiency).

Gear Ratio Calculator

Enter tooth counts and input speed; the tool calculates ratio, output speed, and torque (incl. efficiency).

Active
Ratio i = z2 / z13.000
Output speed n2 [rpm]500.0
Output torque T2 [Nm]145.5
Efficiency η0.970

Note: Output torque includes efficiency factor η.

Projects & Export

Save this calculation to a local project or export inputs/outputs.

Open projects

Exports inputs and outputs only.

Share & Report

Create a shareable link or open a print-ready report.

Formula

i = z2 / z1 | n2 = n1 / i | T2 = T1 * i * η

Assumptions

  • Ideal gear ratio; backlash and elasticity are neglected.
  • Efficiency ? is represented by a single factor.

References

  • AGMA 2001 (Fundamental gear design)
  • ISO 6336 (Cylindrical gears)
Torqyx Engineering - FEA
Torqyx Engineering - Exploded View

Standard Documentation

Gear Ratio
Scope: What does this tool calculate?

Gear Ratio performs the core engineering calculation for this tool type and presents results in a traceable format.

Assumptions and Units
  • SI units are the baseline; input unit consistency must be verified by the user.
  • The calculation path is deterministic (same inputs = same outputs).
  • If default material/environment values are used, replace them with project-specific values.
Limits / Boundaries
  • This tool is intended for preliminary sizing and technical checks, not final design approval.
  • When inputs are outside expected ranges, validate input quality before interpreting outputs.
Reference Standard
  • ISO / DIN / VDI references and common engineering handbooks
Validation Example

Validation example

InputExpected Output
Input set: Unit-consistent project valuesExpected output: Tool result is in the same order as standard references

Note: In real projects, run at least one manual check or reference-table comparison.

Version and Update
Version
v0.1.0
Last updated
2026-03-04

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Glossary

Related terms

Terms that share the same concepts as this calculator.

Bending Moment

Mechanical

Bending Moment is a core engineering term. Definition, usage notes, and a practical example.

Buckling

Mechanical

Buckling is a core engineering term. Definition, usage notes, and a practical example.

Coefficient of Friction

Mechanical

Coefficient of Friction is a core engineering term. Definition, usage notes, and a practical example.

Fatigue

Mechanical

Fatigue is a core engineering term. Definition, usage notes, and a practical example.

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