Cycling Cadence to Speed Calculator
Translate actual cadence/gearing/wheel rollout observations into ideal no-slip cycling speed, no physiological cadence or tire/road safety recommendation.
Description
Cadence and tooth ratio determine ideal wheel rotation.
Cadence and tooth ratio determine ideal wheel rotation. Measured circumference converts that rotation into no-slip ground speed.1
The returned values include Ideal geared speed km hour. The How section below explains the calculation, input rules and interpretation.
When to use Cycling Cadence to Speed Calculator
Use Cycling Cadence to Speed Calculator when you need to evaluate the supplied records under the calculation and evidence rules below. No tire slip, physiological cadence recommendation or road-safety judgement is supplied.
Prepare the observed race, match or training records and the stated units. Supply independently verified rule editions, calibration tables and targets where requested.
How to use Cycling Cadence to Speed Calculator and understand its results
- Prepare the observed race, match or training records and the stated units. Supply independently verified rule editions, calibration tables and targets where requested.
- Enter observedCadenceRpm, frontChainringTeeth, rearCogTeeth, measuredLoadedWheelCircumferenceMeters using the field table and calculation rules, then run the tool.
- Read idealGearedSpeedKmHour. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| observedCadenceRpm | Observed cadence rpm | list of number | Required |
| frontChainringTeeth | Front chainring teeth | list of number | Required |
| rearCogTeeth | Rear cog teeth | list of number | Required |
| measuredLoadedWheelCircumferenceMeters | Measured loaded wheel circumference meters | number | Required |
Enter aligned nonempty nonnegative cadence/integer tooth counts 1–200 and positive loaded wheel circumference. Return modeled speeds.
km/h=cadence×front/rear×circumference×60/1000 Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| idealGearedSpeedKmHour | Ideal geared speed km hour | list of number |
{
"input": {
"observedCadenceRpm": [
60,
90
],
"frontChainringTeeth": [
50,
50
],
"rearCogTeeth": [
25,
20
],
"measuredLoadedWheelCircumferenceMeters": 2
},
"output": {
"idealGearedSpeedKmHour": [
14.4,
27
]
}
}Limitations and assumptions
No tire slip, physiological cadence recommendation or road-safety judgement is supplied.
Numeric inputs, where present, must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Numeric lists are limited to 10,000 entries; string lists to 128 strings of at most 128 characters each. The rules above may impose smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Gear Inch Bike Calculator: Gear inches combine loaded wheel diameter with the tooth ratio. They describe gearing rather than cadence or actual speed. For a complementary task, use Power-to-Weight Ratio W/kg Calculator: Watts per kilogram normalizes power by rider mass. A total bicycle-and-rider model would require additional mass evidence.
References
-
Cycling Cadence to Speed Calculator — tool.io
Similar or alternative tools
- Gear Inch Bike Calculator
Gear inches combine loaded wheel diameter with the tooth ratio. They describe gearing rather than cadence or actual speed.
- Power-to-Weight Ratio W/kg Calculator
Watts per kilogram normalizes power by rider mass. A total bicycle-and-rider model would require additional mass evidence.