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Calcimator

Gear Ratio Calculator

Calculate gear ratio, speed at any cadence, gear inches, and development from chainring, cog, and wheel size.

About this calculator

Gear ratio is simply chainring teeth divided by cog teeth — a 50-tooth chainring over a 17-tooth cog gives a 2.94 ratio, meaning the rear wheel turns 2.94 times for every full crank revolution. That single number drives everything else here. To get speed, this calculator converts your wheel diameter (including the tire) into a rolling circumference, then multiplies circumference by gear ratio and cadence to find distance covered per minute, converting to km/h and mph. Gear inches — a legacy but still-common measurement from the era of penny-farthings — is gear ratio times wheel diameter in inches, letting you compare gearing across completely different wheel sizes and drivetrain types (road, MTB, fixed-gear) on one scale.

Development, more common in Europe, expresses the same idea in meters traveled per crank revolution instead of an abstract inch figure. Skid patches only matters for fixed-gear riders: it's cog teeth divided by the greatest common divisor of chainring and cog teeth, and it tells you how many distinct points on the tire will develop flat spots from skidding to slow down, since a fixed drivetrain always contacts the ground at the same few points during a skid. The main pitfall is wheel diameter — this calculator wants the full rolling diameter with the tire mounted and inflated, not the bare rim size, since even a few millimeters of difference measurably shifts the speed and development results.

Inputs

mm
rpm

Results

Gear Ratio

2.941

Speed21.7 mph
Speed34.9 km/h
Gear Inches81.1
Development6.47 m/rev
Skid Patches (fixed gear)17
How to Use This Calculator
  1. Enter your Chainring Teeth and Rear Cog Teeth.
  2. Set the Wheel Diameter (including tire) in millimeters and your Cadence in RPM.
  3. Review Gear Ratio, Speed in mph and kph, Gear Inches, and Development in meters per revolution.
  4. Check Skid Patches if you are riding a fixed-gear bike.
  5. Adjust chainring or cog size to find your ideal gear for climbing or sprinting.

How the result changes with Rear Cog Teeth

Rear Cog TeethGear Ratio
95.556
133.846
261.923
431.163

What each input means

Chainring Teeth
Number of teeth on the front chainring. Common road: 34-53, MTB: 28-38.
Rear Cog Teeth
Number of teeth on the rear sprocket/cog. Common road: 11-34, MTB: 10-52.
Wheel Diameter (with tire)
Overall wheel diameter including the inflated tire. A 700x25c tire is approximately 700mm.
Cadence
Pedaling cadence in revolutions per minute. Typical: 80-100 rpm.

Engine last updated . Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does swapping to a bigger rear cog lower my gear ratio?

Gear ratio is chainring teeth divided by cog teeth, so the cog size sits in the denominator — a larger cog means the rear wheel turns fewer times per crank revolution, which is exactly what you want on a climb. Going from a 17-tooth to a 25-tooth cog on the same 50-tooth chainring drops the ratio from 2.94 to 2.0, a noticeably easier gear at the same cadence.

Why does the calculator ask for wheel diameter with the tire mounted, not the bare rim size?

Speed, gear inches, and development all depend on the wheel's actual rolling circumference, which the calculator derives directly from the diameter you enter. A wider or taller tire adds real millimeters to that rolling diameter, and since circumference scales linearly with diameter, even a small measurement error carries straight through into the speed and development results.

What's the practical difference between Gear Inches and Development?

Both describe the same physical gearing using a different unit: Gear Inches multiplies gear ratio by wheel diameter in inches, an old but still widely used scale for comparing gears across different wheel sizes and drivetrain types. Development instead multiplies gear ratio by the wheel's circumference in meters, giving you the actual distance traveled per crank revolution — more intuitive if you think in metric distances rather than an abstract inch figure.

Why do I only care about Skid Patches if I ride fixed-gear?

On a freewheel-equipped bike you can stop pedaling and coast, so this number is irrelevant. On a fixed-gear bike you skid to scrub speed, and the tire only contacts the ground at a limited number of points during those skids — calculated as cog teeth divided by the greatest common divisor of chainring and cog teeth. A low skid-patch count means those same few spots wear flat fast, which is why track and fixed-gear riders often deliberately choose gear combinations that maximize this number.

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