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Cadence to Speed Calculator

Enter your cadence, chainring teeth, cog teeth and wheel diameter to calculate your cycling speed, gear ratio and distance per revolution.
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Luis GonzalezCreated by Luis GonzalezLast updated:

How to Use This Calculator

  1. 1

    Enter Cadence (rpm)

    Input your pedaling cadence in revolutions per minute (rpm), typically 80-100 rpm for most cyclists.

  2. 2

    Enter Chainring Teeth

    Input the number of teeth on your front chainring (e.g., 50 for a standard road bike).

  3. 3

    Enter Cog Teeth

    Input the number of teeth on the rear cassette cog currently in use (e.g., 15 for a mid-range gear).

  4. 4

    Enter Wheel Diameter (in)

    Input the effective diameter of your bicycle wheel in inches (e.g., 27.3 inches for a 700c road wheel).

  5. 5

    Review Your Results

    See your calculated cycling speed in mph, km/h, and m/s, along with your gear ratio and development.

Example Calculation

A cyclist maintains a cadence of 90 rpm with a 50-tooth chainring and a 15-tooth cog on a 27.3-inch diameter wheel.

Cadence (rpm)

90

Chainring Teeth

50

Cog Teeth

15

Wheel Diameter (in)

27.3

Results

24.4 mph

Tips

Optimize Cadence for Efficiency

Most cyclists find an optimal cadence between 80-100 rpm for efficiency and endurance. Lower cadences (grinding) strain muscles and joints, while excessively high cadences (spinning out) waste energy. Experiment to find your sweet spot, which can improve your power output by 10-15%.

Adjust Gearing for Terrain

Regularly adjust your chainring and cog combination to match the terrain and maintain your optimal cadence. Use smaller chainrings and larger cogs for climbing (lower gear ratio) and larger chainrings with smaller cogs for flats and descents (higher gear ratio) to maximize speed and minimize effort.

Consider Tire Pressure and Rolling Resistance

While not an input to this calculator, tire pressure significantly impacts actual speed. Properly inflated tires (e.g., 80-100 psi for road bikes) reduce rolling resistance, meaning more of your power translates into forward motion. Under-inflated tires can reduce speed by 5-10% at the same power output.

Calculating Your Cycling Speed from Cadence and Gearing

The Cadence to Speed Calculator is an indispensable tool for cyclists, providing precise speed estimations in mph and km/h based on pedaling cadence, chainring and cog sizes, and wheel diameter. This helps riders understand how their gearing and pedaling style translate into actual velocity. For instance, a cyclist maintaining 90 rpm with a 50-tooth chainring, a 15-tooth cog, and a 27.3-inch wheel will achieve a speed of approximately 24.4 mph, offering valuable insights for training and performance optimization.

Optimizing Cycling Performance Through Cadence and Gearing

Maintaining an optimal cycling cadence, typically between 80-100 rpm for recreational riders and often exceeding 100 rpm for professionals, is crucial for efficiency, endurance, and injury prevention. Pedaling too slowly in a "big" gear (low cadence) can overstress muscles and joints, leading to fatigue and potential injury. Conversely, "spinning" too fast in a low gear (high cadence) can waste energy without generating significant power. The interplay between cadence, gear ratio, and terrain is key: a higher cadence in a lower gear (e.g., 34-tooth chainring with a 28-tooth cog for climbing) can produce the same power output (watts) with less muscle strain than a low cadence in a high gear, significantly impacting performance and the ability to sustain effort over long distances.

The Kinematics of Cycling Speed

The Cadence to Speed Calculator translates your pedaling input and bike setup into linear speed using a series of kinematic calculations.

  1. Gear Ratio: This is the ratio of the chainring teeth to the cog teeth. Gear Ratio = Chainring Teeth / Cog Teeth
  2. Development (Rollout): This is the distance the bike travels per pedal revolution. Development (m) = Gear Ratio × π × Wheel Diameter (in) × 0.0254 (conversion to meters)
  3. Speed (m/s): This is the development multiplied by cadence, converted from rpm to revolutions per second. Speed (m/s) = Development (m) × Cadence (rpm) / 60
  4. Speed (mph/km/h): The speed in m/s is then converted to miles per hour and kilometers per hour.
💡 Understanding how variables affect outcomes is key in many fields. For predicting projectile paths, our Point of Impact at Distance Calculator uses similar principles to model trajectories.

Worked Example: Calculating a Cyclist's Speed

Let's calculate the speed of a cyclist maintaining a cadence of 90 rpm, using a 50-tooth chainring and a 15-tooth cog, with a wheel diameter of 27.3 inches (standard 700c road wheel).

  1. Calculate Gear Ratio:
    • Gear Ratio = 50 / 15 = 3.333
  2. Calculate Development (m):
    • Development = 3.333 × π × 27.3 inches × 0.0254 m/inch = 7.261 meters per revolution
  3. Calculate Speed (m/s):
    • Speed (m/s) = 7.261 m/rev × 90 rpm / 60 s/min = 10.891 m/s
  4. Convert to mph:
    • Speed (mph) = 10.891 m/s × 2.237 mph/(m/s) = 24.36 mph

Rounded to one decimal place, the cyclist's speed is approximately 24.4 mph.

💡 To predict outcomes based on various factors, our Point Spread Calculator can help analyze the expected difference between two variables.

Optimizing Cycling Performance Through Cadence and Gearing

Maintaining an optimal cycling cadence, typically between 80-100 rpm for recreational riders and often exceeding 100 rpm for professionals, is crucial for efficiency, endurance, and injury prevention. Pedaling too slowly in a "big" gear (low cadence) can overstress muscles and joints, leading to fatigue and potential injury. Conversely, "spinning" too fast in a low gear (high cadence) can waste energy without generating significant power. The interplay between cadence, gear ratio, and terrain is key: a higher cadence in a lower gear (e.g., 34-tooth chainring with a 28-tooth cog for climbing) can produce the same power output (watts) with less muscle strain than a low cadence in a high gear, significantly impacting performance and the ability to sustain effort over long distances.

Comparing Speed Calculations for Different Wheel Sizes

The 'wheel diameter' input is a critical factor in cycling speed calculations, fundamentally altering the distance covered per pedal stroke. For example, a standard road bike with 700c wheels (effective diameter around 27.3 inches) will travel a greater distance per pedal revolution than a mountain bike with 26-inch wheels, assuming the same cadence and gear ratio. To achieve the same speed on a smaller 26-inch wheel, a cyclist would need to either increase their cadence significantly or select a larger gear ratio (e.g., a larger chainring or smaller cog). For instance, if a 27.3-inch wheel yields 24.4 mph at 90 rpm with a 3.33 gear ratio, a 26-inch wheel with the same gear and cadence would only achieve approximately 23.2 mph, highlighting the substantial impact of wheel size on velocity.

Frequently Asked Questions

What is cycling cadence?

Cycling cadence refers to the rate at which a cyclist pedals, measured in revolutions per minute (rpm). It's a crucial metric for cycling efficiency and performance. Most recreational cyclists aim for a cadence of 80-100 rpm, while professional riders often maintain 90-110+ rpm. An optimal cadence helps conserve energy, reduce muscle fatigue, and prevent joint strain.

How does gear ratio affect cycling speed?

Gear ratio is the ratio of the number of teeth on the front chainring to the number of teeth on the rear cog. A higher gear ratio (e.g., 50/11) means that for each pedal revolution, the rear wheel spins more times, resulting in higher speed for a given cadence. A lower gear ratio (e.g., 34/28) provides easier pedaling for climbing but less speed. The gear ratio directly influences how much distance is covered per pedal revolution.

What is 'development' or 'rollout' in cycling?

Development, also known as rollout, is the distance a bicycle travels with one full revolution of the pedals in a particular gear. It is calculated by multiplying the gear ratio by the circumference of the drive wheel. A higher development value indicates a 'bigger' gear, meaning more ground is covered per pedal stroke, which translates to higher speeds at a given cadence.

Why is an accurate wheel diameter important for speed calculations?

An accurate wheel diameter is critical for calculating cycling speed because it directly determines the circumference of the wheel. The circumference is the distance the wheel travels in one rotation. If the wheel diameter is underestimated or overestimated, the calculated speed will be inaccurate. Standard road bike wheels (700c) typically have an effective diameter of about 27.3 inches, while mountain bike wheels vary.