Tourbillon Rotating Cage Principle Lookup
State the rotating-cage principle and calculate cage speed for a caller-supplied tourbillon rotation period.
Description
A tourbillon rotates its regulating assembly in a cage to vary gravitational orientation.
A tourbillon rotates its regulating assembly in a cage to vary gravitational orientation. Cage rotation rate follows directly from its period.1
State the rotating-cage principle and calculate cage speed for a caller-supplied tourbillon rotation period.
When to use Tourbillon Rotating Cage Principle Lookup
Use this tool to state the rotating-cage principle and calculate cage speed for a caller-supplied tourbillon rotation period.
Choose a supported lookup focus or prepare the measured values, documented evidence and caller-selected limits requested. Use the exact field names and confirm their units or date format.
How to use Tourbillon Rotating Cage Principle Lookup and understand its results
- Choose a supported lookup focus or prepare the measured values, documented evidence and caller-selected limits requested. Use the exact field names and confirm their units or date format.
- Enter cagePeriodSeconds using the field table and calculation rules, then run the tool.
- Read cageAngularRateDegreesPerSecond, cageRevolutionsPerDay, classicOneMinuteCage, principle. 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 |
|---|---|---|---|
| cagePeriodSeconds | Cage rotation period (s) | number; minimum: 0 | Required |
Enter positive finite cage seconds. Return both rates, an exact period===60 one-minute flag and a stored principle statement. Nonfinite computed rates are errors.
degreesPerSecond=360/period; revolutionsPerDay=86,400/period Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| cageAngularRateDegreesPerSecond | Cage angular rate (deg/s) | number; minimum: 0 |
| cageRevolutionsPerDay | Cage revolutions per day (rev/day) | number; minimum: 0 |
| classicOneMinuteCage | Classic one-minute cage | boolean |
| principle | Rotating-cage principle | string |
{
"input": {
"cagePeriodSeconds": 60
},
"output": {
"cageAngularRateDegreesPerSecond": 6,
"cageRevolutionsPerDay": 1440,
"classicOneMinuteCage": true,
"principle": "A tourbillon rotates the balance and escapement assembly in a cage so changing gravitational orientation is averaged over rotation; this does not guarantee a particular chronometric result."
}
}Limitations and assumptions
No actual cage is measured and no accuracy improvement, positional cancellation or chronometer result is guaranteed.
Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors. A successfully returned false flag is an evaluated outcome; its meaning is explained above.
Alternative or Complementary methods
Use Remontoire Constant Force Type Lookup: Return the purpose, spring, gravity, electric, escapement-location, train-location, or watch-use classification of a constant-force remontoire. For a complementary task, use Positional Rate Variation Threshold Screen: Calculate the maximum-minus-minimum rate spread across measured positions and compare it only with an explicit caller-supplied range limit.
References
Similar or alternative tools
- Remontoire Constant Force Type Lookup
Return the purpose, spring, gravity, electric, escapement-location, train-location, or watch-use classification of a constant-force remontoire.
- Positional Rate Variation Threshold Screen
Calculate the maximum-minus-minimum rate spread across measured positions and compare it only with an explicit caller-supplied range limit.