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Bike Cadence and Speed Calculator — result sheet
Estimate bicycle speed from wheel diameter, pedalling cadence, and wheel-to-crank gear ratio.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: speed km/h=π×wheel diameter metres×cadence rpm×gear ratio×60/1000.
This idealized kinematic model translates cadence into wheel travel. The ratio is entered directly so it can represent a chosen chainring, cog, hub, or trainer setup without assuming one drivetrain standard.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Wheel diameter — mm; minimum 1; maximum 5000
- Cadence — rpm; minimum 1.0E-6; maximum 1000
- Wheel rotations per crank rotation — minimum 1.0E-6; maximum 20
Worked example
| Input | Value |
|---|---|
| Wheel diameter | 700 |
| Cadence | 90 |
| Wheel rotations per crank rotation | 3 |
The ideal wheel speed is about 35.63 km/h.
Assumptions and limits
- Wheel diameter is the effective rolling diameter, not just a tyre label.
- Gear ratio means wheel rotations per crank rotation.
- Tyre deformation, slip, wind, grade, and drivetrain losses are excluded.
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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