Bike Cadence Calculator

Estimate your cadence (RPM) from wheel size, gear ratio, and cycling speed with this transparent performance tool.

Bike Parameters

Enter your typical wheel diameter, the ratio of chainring to cog, and your steady speed to estimate cadence. Exact inputs preserve the calculator's logical rules and rounding.

How to Use This Calculator

Use the inputs to capture your wheel diameter, the gear ratio (chainring teeth divided by cassette teeth), and the speed you expect to maintain. Click Calculate to see the cadence in RPM, along with supporting telemetry. Reset returns the controls to the default touring scenario so you can experiment from a known baseline.

Methodology

The calculator applies the standard cadence formula used by cycling coaches: cadence equals speed converted to meters per minute divided by the product of wheel circumference and gear ratio. All intermediate steps keep the numbers finite, and the tool rounds every output to two decimal places (cadence) or to aligned precision for auxiliary telemetry.

Glossary

  • Wheel Size: Diameter of the bike wheel, measured in inches.
  • Gear Ratio: Front chainring teeth ÷ rear cog teeth.
  • Speed: Ground speed in kilometers per hour.
  • Cadence: Revolutions per minute of the crank.

Frequently Asked Questions (FAQ)

What is bike cadence?

Cadence is how many times your pedals complete a full rotation in one minute. It impacts how hard you push and your ability to maintain speed.

How can I improve my cadence?

Consistent cadence work, smooth pedaling technique, and gearing adjustments help you pedal more efficiently.

What is the ideal cadence for cycling?

Most road cyclists target 80-100 RPM, but the optimal range depends on fitness, terrain, and riding goals.

How does gear ratio affect cadence?

A higher gear ratio increases the distance per pedal turn, meaning you must pedal more slowly to maintain a given speed.

Why is it important to measure cadence?

Cadence gives insight into your pedaling efficiency, helps prevent fatigue, and informs how to pace efforts and gear selections.

Formulas

Primary cadence formula:

Cadence = (Speed × 1000) ÷ (Wheel Circumference × Gear Ratio)

Wheel Circumference = Wheel Size × π (inches) and speed is in km/h.

  • Cadence output is RPM (revolutions per minute).
  • Speed is converted to meters per minute before dividing.
  • Rounding preserves consistent two-decimal precision for cadence and related KPIs.
Citations

NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures

FTC — Consumer advice — consumer.ftc.gov · Accessed 2026-01-19
https://consumer.ftc.gov/

Changelog
  • 0.1.0-draft — 2026-01-19: Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido Last Updated: 2026-01-19 Version 0.1.0-draft
Version 1.5.0