Bicycle Gear Calculator

Calculate gear ratios, speed, and development for your bike setup

Drivetrain Setup

Wheel Setup

Results

Speed at 90 RPM
37.4 km/h
(23.3 mph)
Gear Ratio
2.94
Gear Inches
86.8"
Development
693 cm
Wheel Circumference
235.6 cm

Common Gear Combinations

Speed (km/h) at 90 RPM for common chainring/cassette combinations

Front11T15T19T23T28T
34T39.328.822.818.815.4
39T45.133.126.121.617.7
50T57.842.433.527.722.7
53T61.345.035.529.324.1

What Is a Bicycle Gear Calculator?

A bicycle gear calculator is an essential tool for cyclists who want to understand exactly how their drivetrain performs across different gear combinations. Whether you are a road cyclist optimizing for a sprint finish, a mountain biker choosing the right setup for a steep climb, or a commuter trying to maintain a comfortable cadence, knowing your gear ratios, speed, and development numbers takes the guesswork out of bike setup and training.

This calculator takes five real inputs — chainring teeth (front), cassette teeth (rear), wheel diameter (rim bead seat diameter in mm), tire width (mm), and cadence (pedaling revolutions per minute) — and computes your gear ratio, riding speed, gear inches, and development (distance traveled per crank revolution). It also generates a full gear chart showing speed across dozens of common chainring and cassette pairings at your chosen cadence.

Understanding these numbers lets you make smarter decisions when purchasing a cassette, selecting chainrings for a new build, or planning a race strategy. A cyclist who knows their gear ratios can predict exactly how fast they will travel at a given cadence, making pacing on long climbs or flat time trials far more precise than relying on feel alone.

This tool is equally useful for comparing drivetrains before buying components. Switching from a 50/34 compact double to a 48/31 semi-compact, for example, changes your top-end speed and climbing ability in measurable ways. Run both configurations through the bicycle gear calculator before spending money to confirm the upgrade suits your riding terrain and goals.

Gear Ratio and Speed Formula Explained

The core of every bicycle gear calculation starts with the gear ratio — the number of times the rear wheel rotates for each full crank revolution. Once you have the gear ratio, every other metric flows directly from it.

The wheel circumference accounts for both the rim diameter and the tire width. Because the tire adds material on both sides of the rim, the effective rolling diameter equals the rim bead seat diameter plus two times the tire width. Dividing by 1,000 converts millimetres to metres for speed calculations.

Speed is the product of how far you travel per crank revolution multiplied by how many revolutions you complete per minute, scaled to kilometres per hour. Gear inches is a traditional British measurement expressing the equivalent diameter of a penny-farthing wheel that would produce the same distance per crank revolution — still widely used because it gives an intuitive sense of how "hard" or "easy" a gear feels. Development is simply the distance in centimetres the bike travels for one full pedal stroke, making it the most practical metric for comparing gears across different wheel sizes.

Bicycle Gear Calculation Formulas

GearRatio = Chainring ÷ Cassette Circumference (m) = (WheelDiameter_mm + 2 × TireWidth_mm) × π ÷ 1000 Development (m) = Circumference × GearRatio Speed (km/h) = Development × Cadence_RPM × 60 ÷ 1000 GearInches = GearRatio × (WheelDiameter_mm + 2 × TireWidth_mm) ÷ 25.4

Where:

  • Chainring= Number of teeth on the front chainring
  • Cassette= Number of teeth on the selected rear cog
  • WheelDiameter_mm= Rim bead seat diameter in millimetres (e.g. 700 for 700c)
  • TireWidth_mm= Tire section width in millimetres (e.g. 25 for a 25mm tyre)
  • Cadence_RPM= Pedaling cadence in revolutions per minute
  • π= Mathematical constant pi (≈ 3.14159)
  • Development (m)= Distance traveled per crank revolution in metres
  • GearInches= Traditional imperial measure of effective wheel diameter

Understanding Gear Ratios for Road and Mountain Bikes

Gear ratios determine how much distance you cover with each pedal stroke and, critically, how much effort that stroke requires. A high gear ratio (large chainring, small cassette cog) produces a long development and high speed but requires significant muscular force — ideal for flat roads and descents. A low gear ratio (small chainring, large cassette cog) produces a short development but lets you maintain a comfortable cadence on steep climbs without excessive strain on your knees and muscles.

For road cycling, a 50/11 combination on a 700c wheel with 25mm tires produces a gear ratio of 4.55, gear inches of 134.6", and a top speed of around 73 km/h at 100 RPM — reserved for all-out sprints. At the other end of the road spectrum, a 34/34 combination gives a 1.0 ratio and just 31.4" of gear inches, allowing riders to tackle climbs exceeding 20% gradient while maintaining a smooth cadence.

Mountain bike geometry introduces wider tires and smaller effective diameters, which naturally reduce speed at any given ratio. A 32/32 MTB configuration on a 29" wheel with 50mm tires still delivers a manageable climbing gear while the large wheel diameter offsets some of the speed penalty. Gravel riders often choose mid-range setups — 42/11 to 42/34 — that balance speed on packed gravel with enough low gearing for steep unpaved climbs.

When choosing a drivetrain, cyclists should first identify their target cadence (most trained cyclists aim for 85–100 RPM on flat terrain, dropping to 60–75 RPM on steep climbs) and then select chainring and cassette combinations that produce appropriate speeds and developments for their typical terrain. This bicycle gear calculator makes that comparison instant and precise.

Gear Inches and Development: What They Mean

Gear inches is a legacy measurement from the era of penny-farthing bicycles. It represents the diameter (in inches) of the driving wheel that would deliver the same mechanical advantage as your current gearing. A gear inch value of 100" means your drivetrain is equivalent to pedaling a penny-farthing with a 100-inch front wheel. While the metric might seem archaic, experienced cyclists and component manufacturers still use it because it provides a quick, intuitive comparison across different wheel sizes without needing to know cadence.

A typical road double chainset offers gear inches ranging from roughly 30" (34T chainring, 32T cassette, 700c wheel) to over 130" (53T chainring, 11T cassette). A compact double narrows this to about 30"–109". Track bikes typically operate in the 80"–100" range. MTB 1× drivetrains with a wide-range 10-51 cassette can span from approximately 17" to 83".

Development (also called "rollout" or "metres of development") is the metric equivalent and arguably more intuitive: it tells you directly how many metres or centimetres the bicycle travels per crank revolution. A development of 7.0 m means every pedal stroke moves you seven metres forward. At 90 RPM, that translates to 630 metres per minute or 37.8 km/h. Development is wheel-size neutral, making it the best metric for comparing gears across road, gravel, and mountain bike setups.

Both metrics are displayed by this bicycle gear calculator, so you can cross-reference them with published component specifications, training plans, and gearing tables used by coaches and professional teams.

Choosing the Right Gear for Your Cadence and Terrain

Cadence — the number of crank revolutions per minute — is the other half of the speed equation. At any given speed, a higher cadence means a lower gear (easier to push), and a lower cadence means a higher gear (harder to push). Research and elite coaching practice consistently show that most trained cyclists perform best at cadences between 85 and 100 RPM for sustained efforts, as higher cadences shift effort away from slow-twitch muscle fibers toward cardiovascular output, reducing muscle fatigue on long rides.

Novice cyclists often naturally gravitate toward lower cadences (60–75 RPM) because pushing a bigger gear feels intuitively more powerful. Over time, training with this bicycle gear calculator to target specific speeds at higher cadences leads to better efficiency and reduced injury risk, particularly for the knees.

For climbing, selecting a gear that allows you to maintain at least 70 RPM up a sustained gradient prevents premature muscle exhaustion. For sprinting, elite track cyclists can reach 160–180 RPM in a gear of around 90–100 gear inches — entering those numbers into the calculator shows speeds exceeding 70 km/h. For time trialling, a cadence of 90–95 RPM in a gear producing 8–9 metres of development is a common target for club-level athletes.

The gear chart generated by this calculator shows speeds across all common chainring and cassette combinations at your chosen cadence, letting you identify which gears produce your target speed range and which represent wasteful crossover combinations best avoided (e.g. big chainring paired with large cassette cog, or small chainring with small cog — both create unnecessary chain angle and wear).

Worked Examples

Road Cycling — Standard 50/17 at 90 RPM

Problem:

A road cyclist has a 50T chainring, 17T cassette cog, 700c wheel (700mm rim diameter), 25mm tires, and pedals at 90 RPM. What is their speed, gear ratio, and development?

Solution Steps:

  1. 1Gear ratio = 50 ÷ 17 = 2.94
  2. 2Effective wheel diameter = 700 + (2 × 25) = 750 mm
  3. 3Wheel circumference = (750 × π) ÷ 1000 = 2.356 m
  4. 4Development (distance per crank rev) = 2.356 × 2.94 = 6.93 m (693 cm)
  5. 5Speed = (6.93 × 90 × 60) ÷ 1000 = 37,422 ÷ 1000 = 37.4 km/h
  6. 6Gear inches = 2.94 × (750 ÷ 25.4) = 2.94 × 29.53 = 86.8"

Result:

At 90 RPM in a 50/17 gear on 700c × 25mm tires, the cyclist travels 37.4 km/h (23.2 mph) with a development of 693 cm and 86.8 gear inches.

MTB Climbing — 34/32 on 29" Wheel

Problem:

A mountain biker uses a 34T chainring, 32T cassette cog, 622mm (29") rim, 50mm tires, and spins at 75 RPM up a steep trail. What are their speed and development?

Solution Steps:

  1. 1Gear ratio = 34 ÷ 32 = 1.06
  2. 2Effective wheel diameter = 622 + (2 × 50) = 722 mm
  3. 3Wheel circumference = (722 × π) ÷ 1000 = 2.269 m
  4. 4Development = 2.269 × 1.06 = 2.41 m (241 cm)
  5. 5Speed = (2.41 × 75 × 60) ÷ 1000 = 10,845 ÷ 1000 = 10.8 km/h
  6. 6Gear inches = 1.06 × (722 ÷ 25.4) = 1.06 × 28.43 = 30.1"

Result:

In the lowest gear (34/32) on a 29" MTB with 50mm tires at 75 RPM, the rider climbs at 10.8 km/h (6.7 mph) — a comfortable tempo for sustained steep ascents — with 241 cm development and 30.1 gear inches.

Track Sprint — 52/11 at 100 RPM

Problem:

A criterium racer sprints in a 52T chainring, 11T cog, 700c wheel, 23mm tires at 100 RPM. What is the top speed?

Solution Steps:

  1. 1Gear ratio = 52 ÷ 11 = 4.73
  2. 2Effective wheel diameter = 700 + (2 × 23) = 746 mm
  3. 3Wheel circumference = (746 × π) ÷ 1000 = 2.344 m
  4. 4Development = 2.344 × 4.73 = 11.09 m (1,109 cm)
  5. 5Speed = (11.09 × 100 × 60) ÷ 1000 = 66,540 ÷ 1000 = 66.5 km/h
  6. 6Gear inches = 4.73 × (746 ÷ 25.4) = 4.73 × 29.37 = 138.9"

Result:

In a 52/11 sprint gear on 700c × 23mm tires at 100 RPM, the racer reaches 66.5 km/h (41.3 mph) with 1,109 cm development and 138.9 gear inches — a genuine high-speed sprint output.

Tips & Best Practices

  • Target a cadence of 85–95 RPM on flat roads; use this calculator to find which gear produces your desired speed at that cadence.
  • Avoid cross-chaining: on a double chainset, use the large chainring with the smaller half of your cassette and the small chainring with the larger half.
  • When buying a cassette, calculate development values for your easiest (largest) cog to ensure you have enough low gearing for your local climbs.
  • On a 1× drivetrain, check the full range of ratios your cassette provides; a 10-51 cassette gives a 5.1:1 spread, comparable to a 2× setup.
  • Compare development rather than gear ratios when evaluating gearing across bikes with different wheel sizes — 622mm MTB wheels and 700c road wheels at the same ratio produce different speeds.
  • For time trialling, calculate the gear that produces your goal speed at 90–95 RPM; then use cadence to fine-tune effort rather than shifting mid-race.
  • Track the gear inches of your most-used gear in training; if your power output increases, consider moving to a gear 5–10 gear inches higher for the same cadence workout.
  • When test-riding a new bike, note which gear cog you use most frequently; that cog's ratio relative to your chainring reveals whether the bike's gearing suits your riding style.

Frequently Asked Questions

For flat road riding at typical recreational speeds (25–35 km/h), gear ratios between 2.5 and 3.5 are practical at 85–95 RPM. Compact doubles (50/34 chainring, 11-28 cassette) cover ratios from roughly 1.21 to 4.55, which suits most road terrain. For climbing-heavy routes, ratios below 1.5 are recommended so you can maintain a smooth cadence on gradients above 10%.
Gear inches is an imperial measurement expressing the effective driving wheel diameter — a holdover from penny-farthing bicycles — and is useful for quick comparisons without reference to cadence. Development (or rollout) is the distance in metres the bicycle travels per crank revolution and is the more direct metric for planning speed at a given cadence. Both measure the same underlying mechanical relationship; gear inches = development in metres × (1000 ÷ (π × 25.4)) × GearRatio in a different form.
The calculator uses tire width to estimate the total effective wheel diameter because the tire adds material on both sides of the rim. A 700c rim with a 25mm tire has an effective rolling diameter of 750mm (700 + 2 × 25), while the same rim with a 28mm tire is 756mm. This difference changes the wheel circumference and therefore the distance traveled per crank revolution, producing a slightly different speed at the same cadence and gear ratio.
Cross-chaining occurs when you use a large chainring with a large cassette cog, or a small chainring with a small cassette cog. These combinations create an extreme lateral angle on the chain, increasing wear on the chain, chainrings, and cassette, while also reducing drivetrain efficiency. Most shifting systems work best within a diagonal band of combinations — the gear chart in this calculator helps you identify the speed ranges where each chainring operates most efficiently.
Start by entering your target climbing speed and minimum comfortable cadence into the bicycle gear calculator to find the development you need for your hardest expected climb. For example, if you want to climb a 12% gradient at 12 km/h with a 75 RPM cadence, you need a development of about 267 cm. Working back through the formula tells you the maximum cassette cog size required. For most road riders, an 11-28 or 11-32 cassette paired with a compact or semi-compact chainset covers everything from flat racing to hilly sportives.
Research shows that elite cyclists typically self-select cadences of 85–100 RPM during sustained efforts because higher cadences are more metabolically efficient for their trained cardiovascular systems. At higher cadences, the same speed is achieved with less force per pedal stroke, reducing muscular fatigue and joint stress. Beginners often default to 60–75 RPM; targeted cadence training — using this gear calculator to identify appropriate gears for specific speed and cadence combinations — can improve efficiency significantly over a training season.

Sources & References

Last updated: 2026-06-05

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Editorial Note

MyCalcBuddy Editorial Team

This page is maintained as an educational calculator reference.

Source

Formula Source: Standard Mathematical References

by Various

UpdatedLast reviewed: May 2026
CheckedFormula checks are based on standard references and internal QA review.

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