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Gear Inch Calculator — Development, Speed at Cadence
Calculate gear inches, development in metres and speed at cadence 80, 90 and 100 rpm for any wheel and drivetrain combination.
How We Calculate This
Gear Inches Formula
Gear Ratio = Chainring teeth ÷ Cog teeth
Effective diameter (mm) = Rim diameter (ISO mm) + 2 × tyre width × 0.9
Gear Inches = Gear ratio × effective wheel diameter (inches)
Development
Development (m) = Gear ratio × wheel circumference (m)
Wheel circumference = π × effective diameter in metres.
Speed at Cadence
Speed (km/h) = Development (m) × cadence (rpm) × 60 ÷ 1,000
Tyre width uses a section-height factor of 0.9 (90% of stated tyre width) for a typical clincher tyre inflated to normal pressure.
Frequently Asked Questions
Gear inches represent the equivalent wheel diameter (in inches) of a directly-driven penny-farthing bicycle. A higher gear inch value means a harder gear that covers more ground per pedal revolution. Gear inches allow you to compare gears across bikes with different wheel sizes, chainring sizes and cassette sizes on a single scale.
Development (sometimes called rollout) is the distance your bicycle travels with one full pedal revolution. It is calculated as gear ratio multiplied by wheel circumference. A development of 8 metres means every complete pedal turn moves you 8 metres forward. Higher development = faster at a given cadence.
A wider tyre increases the effective rolling diameter of the wheel, which slightly increases gear inches and development. Going from a 23 mm to a 32 mm tyre on 700c wheels raises the wheel radius by about 8 mm per side, so the effective diameter grows by roughly 16 mm — adding about 1 to 2 gear inches depending on the ratio (close to 2 gear inches at a hard 50/17 gear). This is why the calculator asks for tyre width — it gives more accurate results than using nominal rim diameter alone.
Most road cyclists aim for 85 to 95 rpm as an efficient aerobic cadence. A cadence of 80 rpm is comfortable for steady riding, 90 rpm is efficient and reduces muscular fatigue on long rides, and 100 rpm is typical for climbing or sprint warm-ups. Track sprinters may spin well above 120 rpm.
For sustained climbing, aim for a gear that lets you maintain 75 to 90 rpm without excessive muscular effort. A typical road compact climbing gear (for example 34/32 on 700c, roughly a 1:1 ratio) gives about 9 to 12 km/h at 80 rpm. Very low sub-1:1 gears used for steep off-road riding or heavily loaded touring drop that to around 5 to 7 km/h at 80 rpm, which is what you want when the gradient gets severe. If you frequently grind to a near-standstill on climbs, consider a lower gear ratio (larger cog or smaller chainring).
Related Calculators
Development Calculator
Calculate distance travelled per pedal revolution for any gear.
Speed in Gear Calculator
Calculate road speed for any gear at a given cadence.
Cadence Calculator
Calculate required cadence for a target speed in any gear.
Gear Ratio Calculator
Calculate gear ratios from chainring and sprocket tooth counts.
Gear Inches Calculator
Convert gear ratios to gear inches for comparison.
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Last updated: March 2026
All calculations are estimates. Always verify results and consult a professional bike fitter where appropriate.