Bike Cadence Calculator
Find ideal bicycle pedal cadence or speed using wheel circumference and gear ratio.
Open toolCycling Gear Calculator
Find cycling gear ratio, distance per pedal turn and constant-cadence speed. Provide Chainring teeth, Rear cog teeth, Wheel circumference (m) to compute results directly in your browser. No tire lookup or power/drag model; supplied wheel circumference and direct front/rear ratio. Distinct from pedal RPM inferred from road speed. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
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Enter the inputs, then select Calculate.
Your result
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Result will appear here
How the Cycling Gear Calculator Works & Core Formula
The Cycling Gear Calculator evaluates Chainring teeth, Rear cog teeth, Wheel circumference (m) in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.
Find cycling gear ratio, distance per pedal turn and constant-cadence speed.
No tire lookup or power/drag model; supplied wheel circumference and direct front/rear ratio. Distinct from pedal RPM inferred from road speed. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
Cycling Gear Calculator Quick Reference & Input Guide
Review the input parameters, allowed value ranges, and worked reference cases for the Cycling Gear Calculator below before running your calculation.
| Parameter / Scenario | Default / Sample Value | Rule or Allowed Range | Output / Usage Note |
|---|---|---|---|
| Input: Chainring teeth | 50 | Range: 1 to 1000 | Required workspace parameter |
| Input: Rear cog teeth | 25 | Range: 1 to 1000 | Required workspace parameter |
| Input: Wheel circumference (m) | 2.1 | Range: 1e-09 to 1000000000.0 | Required workspace parameter |
| Input: Pedal cadence (rpm) | 90 | Range: 0 to 1000000000.0 | Required workspace parameter |
| Worked Case 1: Baseline run (Chainring teeth = 50) | Preloaded / test values | Find cycling gear ratio, distance per pedal turn and constant-cadence speed | Chainring teeth = 50; Rear cog teeth = 25; Wheel circumference (m) = 2.1; Pedal cadence (rpm) = 90. The displayed output is Gear ratio: 2 Development: 4.2 m/pedal turn Theoretical speed: 22.68 km/h. |
| Worked Case 2: Comparison scenario (cycling gear calculator speed) | Preloaded / test values | Find cycling gear ratio, distance per pedal turn and constant-cadence speed | Chainring teeth = 30; Rear cog teeth = 15; Wheel circumference (m) = 2; Pedal cadence (rpm) = 60. The displayed output is Gear ratio: 2 Development: 4 m/pedal turn Theoretical speed: 14.4 km/h. |
Step-by-Step Guide to Using the Cycling Gear Calculator
Follow these three steps to configure Chainring teeth, Rear cog teeth, Wheel circumference (m), verify unit and boundary rules, and export your Cycling Gear Calculator output.
Input and settings
Complete the other inputs
Set rear cog teeth, wheel circumference (m), pedal cadence (rpm). No tire lookup or power/drag model; supplied wheel circumference and direct front/rear ratio.
Tool result
Calculate and read the output
Select Calculate to see the gear ratio, development and constant-cadence speed. Copy result copies this text; Download saves it as a TXT file.
Review the details
Practical Worked Examples for Cycling Gear Calculator
These concrete scenarios illustrate how the Cycling Gear Calculator processes baseline inputs, comparison checks, and boundary constraints.
Baseline run (Chainring teeth = 50)
Chainring teeth = 50; Rear cog teeth = 25; Wheel circumference (m) = 2.1; Pedal cadence (rpm) = 90. The displayed output is Gear ratio: 2 Development: 4.2 m/pedal turn Theoretical speed: 22.68 km/h.
Comparison scenario (cycling gear calculator speed)
Chainring teeth = 30; Rear cog teeth = 15; Wheel circumference (m) = 2; Pedal cadence (rpm) = 60. The displayed output is Gear ratio: 2 Development: 4 m/pedal turn Theoretical speed: 14.4 km/h.
Boundary & unit check (Cycling Gear Calculator)
When solving for 'cycling gear calculator', verify that Chainring teeth, Rear cog teeth, Wheel circumference (m) use consistent units and stay within the documented scope: No tire lookup or power/drag model; supplied wheel circumference and direct front/rear ratio. Distinct from pedal RPM inferred from road speed. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.
How to Read and Verify the Cycling Gear Calculator Output
The output panel reports the exact result derived from Chainring teeth, Rear cog teeth, Wheel circumference (m) alongside any unit or formatting notes.
The result is the gear ratio, development and constant-cadence speed. Compare drivetrain sizes with an entered wheel circumference.
The result is gearing geometry without a tire lookup, drag model or power estimate.
Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.
- Example input
- Chainring teeth = 50; Rear cog teeth = 25; Wheel circumference (m) = 2.1; Pedal cadence (rpm) = 90
- Example output
- Gear ratio: 2 Development: 4.2 m/pedal turn Theoretical speed: 22.68 km/h
Scope Limits, Accuracy Assumptions & Related Everyday Math Tools
Review these boundary constraints and validation rules before relying on the Cycling Gear Calculator output.
Operational scope: No tire lookup or power/drag model; supplied wheel circumference and direct front/rear ratio. Distinct from pedal RPM inferred from road speed. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.
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Open toolFrequently Asked Questions About Cycling Gear Calculator
Answers about using Cycling Gear Calculator and understanding its results.
What formula or rule does the Cycling Gear Calculator use?
The Cycling Gear Calculator applies the rule: Find cycling gear ratio, distance per pedal turn and constant-cadence speed. Enter Chainring teeth, Rear cog teeth, Wheel circumference (m) into the workspace and the tool computes the exact output in your browser.
What input parameters and units are required for Cycling Gear Calculator?
Yes. Provide Chainring teeth, Rear cog teeth, Wheel circumference (m) using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.
What are the accuracy limits and boundary assumptions for Cycling Gear Calculator?
No tire lookup or power/drag model; supplied wheel circumference and direct front/rear ratio. Distinct from pedal RPM inferred from road speed. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.
Is the Cycling Gear Calculator free and does it keep my inputs private?
Yes. All calculations for the Cycling Gear Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.
Get the gear ratio, development and constant-cadence speed
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