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Bike Gear Ratio & Cadence Calculator

Gear ratio, gear inches, development and gain ratio for any chainring and cog, and your speed at any cadence — with a full chart for your cassette.

Your gearing

Enter your chainrings and cassette, separated by commas or dashes.

The formulas

Gear ratio = chainring ÷ cog
Speed = cadence × ratio × wheel circumference
Gear inches = wheel diameter (in) × ratio · Development = circumference (m) × ratio
Gain ratio = (wheel radius ÷ crank length) × ratio

Gear inches, development and gain ratio are three ways of describing how “big” a gear is. Sheldon Brown proposed gain ratio because it also accounts for crank length, so it compares bikes with different wheels and cranks fairly.

Wheel circumferences

TyreCircumferenceEffective diameterSource
700×23c2097 mm26.3 inSheldon Brown
700×25c2105 mm26.4 inSheldon Brown
700×28c2136 mm26.8 inSheldon Brown
700×30c2143 mm26.9 inWahoo
700×32c2155 mm27.0 inSheldon Brown
700×35c2168 mm27.2 inSheldon Brown
700×38c2180 mm27.3 inSheldon Brown
700×40c2203 mm27.6 inWahoo
700×45c2234 mm28.0 inWahoo
650b × 472130 mm26.7 inISO size
27.5 × 2.12148 mm26.9 inWahoo
27.5 × 2.252182 mm27.3 inWahoo
29 × 2.12286 mm28.6 inWahoo
29 × 2.22302 mm28.8 inWahoo
29 × 2.32326 mm29.1 inWahoo
26 × 2.1252070 mm25.9 inSheldon Brown

From Sheldon Brown’s calibration chart and Wahoo’s tyre size chart, which differ by a few millimetres for the same size; the 650b × 47 figure is worked out from the ISO size (584 mm bead seat + 2 × 47 mm). Real circumference depends on tyre brand, width and pressure — roll the bike one full turn and measure for the best accuracy.

Speed at 90 rpm, 700×28c (2,136 mm)

Cog50T34T40T (1×)
1152.4 km/h35.7 km/h41.9 km/h
1248.1 km/h32.7 km/h38.4 km/h
1344.4 km/h30.2 km/h35.5 km/h
1441.2 km/h28.0 km/h33.0 km/h
1538.4 km/h26.1 km/h30.8 km/h
1733.9 km/h23.1 km/h27.1 km/h
1930.4 km/h20.6 km/h24.3 km/h
2127.5 km/h18.7 km/h22.0 km/h
2424.0 km/h16.3 km/h19.2 km/h
2820.6 km/h14.0 km/h16.5 km/h
3218.0 km/h12.3 km/h14.4 km/h
3616.0 km/h10.9 km/h12.8 km/h
4213.7 km/h9.3 km/h11.0 km/h

Last reviewed: 2026-10-04 · Disclaimer

FAQ

Gears — questions

Speed = cadence × (chainring teeth ÷ cog teeth) × wheel circumference. At 90 rpm in a 50×15 gear on a 700×25c wheel (2,105 mm), that is 90 × 3.33 × 2.105 m = 632 m per minute, or 37.9 km/h (23.5 mph).

Gear inches = wheel diameter in inches × chainring ÷ cog. It describes how hard a gear is to turn, and comes from the diameter of the equivalent front wheel on an old high-wheel bicycle.

Sheldon Brown’s gain ratio also allows for crank length: (wheel radius ÷ crank length) × chainring ÷ cog. It is the distance the bike travels for each unit of distance the pedal moves.

It depends on rim and tyre: about 2,105 mm for 700×25c and 2,136 mm for 700×28c (Sheldon Brown’s chart), and about 2,286 mm for a 29 × 2.1 in tyre (Wahoo’s chart). Charts differ by a few millimetres. For accuracy, roll the bike one full turn and measure.