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CYCLING MECHANICS

Bicycle Gear Development Calculator

Compare gear development, speed at cadence and required cadence from measured wheel circumference.

Enter your values

01 / INPUT
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Result

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Multiply wheel circumference by tooth ratio for distance per crank turn, then apply cadence.

    Development=circumference×front/rear; speed=development×rpm/60

    Worked example

    2.1 m circumference, 50/25 gearing and 90 rpm give 4.2 m per crank revolution and 22.68 km/h.

    Assumptions and input details

    Measured circumference is used directly. Tooth counts must be whole. No tire diameter conversion, internal hub ratio, slipping, component compatibility, cross-chaining recommendation, power or climbing ability is inferred.

    Unit definitions

    Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.

    Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.

    Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.

    NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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