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Bicycle Gear Ratio Calculator — result sheet
Calculate bicycle gear ratio and mechanical distance per crank revolution from front and rear sprocket teeth.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Gear ratio = front teeth/rear teeth; rollout = π × wheel diameter × gear ratio.
The ratio estimates wheel revolutions per crank revolution, while rollout estimates the distance traveled per crank turn.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Front chainring teeth — minimum 1; maximum 1000
- Rear sprocket teeth — minimum 1; maximum 1000
- Wheel diameter — m; minimum 1.0E-6; maximum 10
Worked example
| Input | Value |
|---|---|
| Front chainring teeth | 50 |
| Rear sprocket teeth | 20 |
| Wheel diameter | 0.7 |
Gear ratio = 2.5; rollout ≈ 5.498 m per crank revolution.
Assumptions and limits
- Tooth counts are positive integer sprocket counts.
- Wheel diameter is the effective rolling diameter.
- Slip, tyre deformation, cadence, and drivetrain losses 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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