About this tool: Gear Ratio Calculator
Calculate an ideal gear ratio and output speed from tooth counts and input rpm.
The driven-to-driver tooth ratio determines the ideal speed reduction. A larger driven gear turns more slowly and has a greater ideal torque advantage. The calculation assumes two external gears and ignores friction, transmission losses and multi-stage trains.
How the calculation works
Worked example
| Driver teeth | 20 |
| Driven teeth | 60 |
| Input speed, rpm | 1200 |
i = 3; n₂ = 400 rpm
Questions and answers
What does this tool do?
Calculate an ideal gear ratio and output speed from tooth counts and input rpm. The driven-to-driver tooth ratio determines the ideal speed reduction. A larger driven gear turns more slowly and has a greater ideal torque advantage. The calculation assumes two external gears and ignores friction, transmission losses and multi-stage trains.
What affects precision and input format?
Floating-point results are rounded for display. Keep the units shown in the input labels; decimal points and decimal commas are accepted.
Where are the calculations performed?
The calculation runs in your browser. You can use the tool without installing software.
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