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Spokiva

Bike Gearing Calculator

Compare gear ratios and see the speed a chainring, sprocket and cadence combination actually produces — on a bicycle or a chain-driven motorcycle.

Gearing calculator

teeth
teeth
rpm

Speed at Cadence

33.9km/h

50 × 17t • 90 rpm • 700 × 28c • 172.5 mm cranks

Gear Ratio

2.94

gear ratio

Gear Inches

78.7

gear inches

Development

6.28

m per rev

Gain Ratio

5.80

gain ratio

Speeds assume no wheel slip and the rollout circumference listed for the selected tyre.

How to use the gearing calculator

Gearing decides what your legs are asked to do at any given speed. Too tall and you grind up climbs at 50 rpm; too short and you spin out on the descent. Thisbike gearing calculator turns a chainring, a sprocket, a wheel size and a cadence into the four numbers that fully describe a gear, plus the road speed that combination actually produces.

The four numbers, and what each is for

  • Gear ratio — chainring teeth divided by sprocket teeth. A 50/14 gives 3.57, meaning 3.57 wheel revolutions per crank revolution. Simple, and drivetrain-independent.
  • Gear inches — the ratio multiplied by wheel diameter in inches. The traditional way to compare setups across different wheel sizes: a 700c road bike and a 26″ mountain bike with the same gear inches feel the same to pedal.
  • Development — the distance in metres the bike travels per crank revolution, also called rollout. Most riders find this the most intuitive of the four, because it is a real distance you can picture.
  • Gain ratio — Sheldon Brown’s measure, which divides wheel radius by crank length after applying the gear ratio. It is the only one of the four that accounts for crank length, so it is the fair way to compare bikes with 165 mm and 175 mm cranks.

Choosing gearing for the riding you do

Work from cadence, not from tooth counts. Decide the cadence you want to hold, then check what speed the gear gives you at that cadence — that is the question thebicycle gearing calculator answers directly.

  1. Climbing. A ratio of 1.0 or lower — 34/34, or 30/34 on a gravel bike — lets most riders keep 65–75 rpm on gradients above 12% instead of grinding.
  2. Flat and rolling roads. A 50/11 or 52/11 top gear runs out somewhere around 60–65 km/h at 90 rpm, which is more than enough for anything short of a sprint finish or a long descent.
  3. 1x drivetrains. Check the whole cassette, not just the extremes. Wide-range 1x setups buy simplicity at the cost of larger jumps between gears, which matters most when you are riding at a steady tempo and want a cadence that is just right.

Wheel and tyre size matters more than people expect

Gear inches and development both depend on the rolling circumference of the wheel, not just the rim. Moving from a 25 mm to a 32 mm tyre on the same rim raises the rollout by roughly 1%, which slightly lengthens every gear on the bike. Pick the wheel and tyre option that matches what you actually ride, or the speeds the calculator returns will be quietly optimistic or pessimistic across the whole range.

Using it as a motorcycle gearing calculator

The mathematics of a chain drive does not care what the engine is. On a chain-driven motorcycle the front sprocket and rear sprocket behave exactly like a chainring and a cog, so this doubles as a motorcycle gearing calculator for the final drive: enter the front sprocket as the chainring, the rear sprocket as the sprocket, and choose the wheel option closest to your tyre size. The familiar rule falls straight out of the ratio — going down one tooth at the front, or up two or three at the rear, shortens the gearing for acceleration at the cost of top speed.

One caveat worth stating plainly: a motorcycle also has a primary drive ratio and a gearbox ratio between the crankshaft and the front sprocket. This tool models the final drive only, so use it to compare sprocket changes against each other rather than to predict absolute road speed at a given engine rpm.

Reading the result

Change one input at a time and watch which of the four numbers moves. That habit teaches the relationships faster than any table: a bigger sprocket lowers ratio, gear inches, development and gain ratio together; a longer crank lowers gain ratio alone; a bigger tyre raises gear inches and development but leaves the raw ratio untouched. Once you can predict those moves, you can specify a drivetrain without guessing.

Gearing calculator FAQs

How do I calculate a bike gear ratio?

Divide the chainring teeth by the sprocket teeth. A 50 tooth chainring with a 14 tooth sprocket gives a ratio of 3.57, meaning the rear wheel turns 3.57 times for every turn of the cranks.

What are gear inches and development?

Gear inches is the gear ratio multiplied by the wheel diameter in inches — a single number that lets you compare any two setups. Development, or rollout, is the distance in metres the bike travels per crank revolution, which many riders find more intuitive than gear inches.

What is gain ratio?

Gain ratio, devised by Sheldon Brown, divides the wheel radius by the crank length after applying the gear ratio. Because it accounts for crank length, it compares gearing fairly between bikes with different cranks, which gear inches cannot do.

Can I use this as a motorcycle gearing calculator?

Yes. On a chain-driven motorcycle the front and rear sprockets work exactly like a chainring and cog, so the ratio, rollout and speed-at-a-given-cadence maths is identical. Enter the front sprocket as the chainring, the rear sprocket as the sprocket, and set the wheel to match your tyre size. A motorcycle also has a primary drive and a gearbox ratio, so this tool covers the final drive only.

What gearing do I need for steep climbs?

A ratio at or below 1.0 — a 34 tooth chainring with a 34 tooth sprocket, or a 30/34 on a gravel bike — lets most riders spin rather than grind on gradients over 12%. Set your realistic climbing cadence in the calculator and check the speed it produces against the speed you can actually sustain.

What cadence should I use in the gearing calculator?

Use the cadence you genuinely ride at. Most road cyclists sit between 85 and 95 rpm on the flat and drop to 65–80 rpm on steep climbs, so entering 90 for flat gearing and 70 for climbing gearing gives you two honest speed figures for the same drivetrain.