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Gear Ratio and Output Speed Calculator — result sheet
Calculate gear ratio, output speed, and ideal torque multiplication from tooth counts and input speed.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Ratio=driven teeth/driver teeth; output rpm=input rpm/ratio; ideal output torque=input torque×ratio.
The ideal tooth-ratio relationship is shown separately from real efficiency, backlash, and load limits.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Driver gear teeth — minimum 1; maximum 1000000
- Driven gear teeth — minimum 1; maximum 1000000
- Input speed — minimum 0; maximum 1000000000
- Input torque — minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Driver gear teeth | 20 |
| Driven gear teeth | 40 |
| Input speed | 1200 |
| Input torque | 10 |
Ratio =2; output speed =600 rpm; ideal torque =20.
Assumptions and limits
- Tooth counts are positive whole numbers and input speed and torque use compatible units.
- The gears mesh directly with no slip and ideal power conservation is assumed.
- Friction, tooth strength, inertia, lubrication, and efficiency are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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