Power Reserve Torque Decay Curve Reader

Linearly interpolate torque on a caller-supplied measured curve and report its decline, ratio, and monotonicity.

Description

A torque-decay curve reader interpolates supplied measurements and summarizes end-to-end decline.

A torque-decay curve reader interpolates supplied measurements and summarizes end-to-end decline. The measured curve can rise or remain flat.^[1]

Linearly interpolate torque on a caller-supplied measured curve and report its decline, ratio, and monotonicity.

When to use Power Reserve Torque Decay Curve Reader

Use this tool to linearly interpolate torque on a caller-supplied measured curve and report its decline, ratio, and monotonicity.

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 Power Reserve Torque Decay Curve Reader 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 elapsedHours, readoutHour, torqueValues using the field table and calculation rules, then run the tool.
Read averageDeclinePerHour, interpolatedTorque, monotonicDecreasing, remainingTorqueRatio. 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
elapsedHours	At least two strictly increasing elapsed-hour values. (h)	list of number	Required
readoutHour	Readout hour (h)	number; minimum: 0	Required
torqueValues	Finite nonnegative torque value for each elapsed hour.	list of number	Required

Enter at least two aligned finite nonnegative hours/torques, strictly increasing hours, positive first torque and a readout hour within the measured interval. Interpolate linearly or use exact endpoints. Return torque, average decline, last/first torque ratio and nonincreasing flag that includes equal successive torques.

interpolation=T1+(h−h1)/(h2−h1)×(T2−T1); decline=(firstTorque−lastTorque)/(lastHour−firstHour)

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
averageDeclinePerHour	Average decline per hour	number
interpolatedTorque	Interpolated torque	number; minimum: 0
monotonicDecreasing	Curve monotonically decreases	boolean
remainingTorqueRatio	Remaining-to-start torque ratio	number; minimum: 0

json

{
  "input": {
    "elapsedHours": [
      0,
      5,
      10
    ],
    "readoutHour": 7.5,
    "torqueValues": [
      10,
      6,
      5
    ]
  },
  "output": {
    "averageDeclinePerHour": 0.5,
    "interpolatedTorque": 5.5,
    "monotonicDecreasing": true,
    "remainingTorqueRatio": 0.5
  }
}

Limitations and assumptions

No extrapolation, physical decay fit, power reserve or timekeeping behavior is modeled. A rising endpoint gives negative decline and ratio above one.

Numeric inputs must be finite. Follow the calculation-specific rules for overflow, underflow and exceptional cases. Lists are limited to 100,000 entries; the rules above may require smaller limits. 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

Power Reserve Torque Decay Curve Reader — tool.io

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.