How to Use This Calculator
Enter your chainring (front ring) and sprocket (rear cog) tooth counts, select your tyre size, input your target cadence in RPM, and choose your velodrome's lap length. All four core gearing values — gear ratio, gear inches, metres of development, and speed — update instantly. The event table below shows estimated lap counts and completion times for nine standard UCI track events on your chosen velodrome.
Step-by-Step
1. Chainring & sprocket: These are stamped or engraved on most track components. The most common track setups range from 46×14 for beginners to 52×13 for elite sprinters.
2. Tyre size: Select the ETRTO size stamped on your tyre sidewall. Most dedicated track tyres are 700c × 22 or 700c × 23 mm tubulars. The calculator uses the formula: wheel diameter = rim diameter (622 mm for 700c) + 2 × tyre width.
3. Cadence: Enter the RPM you plan to hold or peak at. Sprint events peak at 130–160+ rpm; pursuit riders typically cruise at 95–110 rpm. The speed output reflects this cadence, so enter your realistic sustained cadence for endurance events and your peak sprint cadence for sprint events.
4. Track length: Select your velodrome's lap length. Most UCI championship indoor tracks are exactly 250 m, but many local velodromes are 200 m, 333 m, or 400 m. The lap count and event times scale automatically.
Formulas & Method
These formulas follow the standard definitions used by the UCI and verified against the Wikipedia Gear inches article (which confirms: metres of development = gear inches × 0.0254π). The conversion factor is exact: 0.0254 m/inch × π.
Understanding the Outputs
Gear Inches
Gear inches is the traditional Anglo-American measure of gearing, equivalent to the wheel diameter (in inches) of a penny-farthing that would travel the same distance per crank revolution. It lets riders compare setups regardless of wheel size or chainring/sprocket combinations. Higher gear inches = harder to push, higher top speed. Most velodrome training sessions for adults restrict riders to a maximum of 84 gear inches; the UCI previously restricted juniors to a rollout of 7.93 m (≈ 99 gear inches) until 2023.
Metres of Development
Metres of development (also "rollout distance") is the metric equivalent: how many metres your bike travels per complete crank revolution. It's the measure used by UCI for rollout limits and by most European coaches. A 49×14 on a 700c×23mm wheel gives ≈ 7.33 m — meaning every pedal stroke covers 7.33 metres of track.
Speed at Cadence
The speed output assumes you maintain the entered cadence perfectly throughout. In reality, sprint events start well below peak cadence and accelerate. For endurance events (pursuit, kilo, scratch) the constant-cadence speed is a realistic target once up to speed. Use it to reverse-engineer: if you need to hold 55 km/h in a pursuit, what cadence does your current gear require?
Event Lap Counts & Times
Event distances are based on UCI regulations for a 250 m track and scaled proportionally for other lap lengths. Fractional laps are shown where the event distance does not divide evenly into the selected track length (e.g. a flying 200 m on a 250 m track starts mid-lap). The time estimate assumes constant speed at your input cadence — real times will differ due to acceleration, tactics, and fatigue.
Choosing the Right Gear for Your Event
Flying 200 m / Match Sprint / Keirin: Elite sprinters run 110–130+ gear inches (e.g. 52×13 ≈ 121 gi). The gear must allow maximum cadence at peak speed without spinning out. Experiment to find where your power curve peaks.
1 km Time Trial (Kilo) / 500 m TT: Requires a compromise — big enough to build speed quickly from a standing start, not so large you can't turn it over. Typical range 92–108 gear inches depending on rider strength.
Individual & Team Pursuit: Pursuit bikes typically run 104–120 gear inches. The goal is to sustain maximum aerobic power. Cadence target is usually 100–110 rpm.
Endurance events (Omnium, Points Race, Scratch): A more moderate gear (88–100 inches) allows tactical acceleration and recovery without bogging down in attacks.
Velodrome size matters: Smaller 200 m tracks with steep banking generate more natural speed; riders sometimes run slightly smaller gears than on a 250 m track. On outdoor 400 m tracks, head/tail wind affects gear choice significantly.
Common Mistakes
Using the wrong wheel diameter: Gear inches and development both depend on actual wheel diameter, not nominal "700c." A 700c×23mm tyre has an effective diameter of 668 mm, not 700 mm. This calculator computes the diameter from rim and tyre width.
Confusing gear ratio with gear inches: A 49×14 and a 47×13.5 have similar ratios, but "gear ratio" alone ignores wheel size. Two bikes with the same gear ratio but different wheel sizes will travel different distances per crank turn.
Cadence vs. sustained power: A gear that allows 150 rpm in a 10-second sprint may destroy your legs in 16 laps of a pursuit. Match cadence and gear to your event duration and physiology.