Torque Curve Sticking Point

Locate the minimum measured torque and corresponding joint angle.

Description

A torque-curve minimum identifies the lowest supplied sample and its associated joint angle.

A torque-curve minimum identifies the lowest supplied sample and its associated joint angle. Calling it a sticking point is an operational label.^[1]

Locate the minimum measured torque and corresponding joint angle.

When to use Torque Curve Sticking Point

Use this tool to locate the minimum measured torque and corresponding joint angle.

Prepare the measured movement, timing, load or preassigned score requested. Keep protocols, units, paired measurements and caller-selected thresholds consistent.

How to use Torque Curve Sticking Point and understand its results

Prepare the measured movement, timing, load or preassigned score requested. Keep protocols, units, paired measurements and caller-selected thresholds consistent.
Enter anglesDegrees, torquesNewtonMeters using the field table and calculation rules, then run the tool.
Read stickingPointAngleDegrees, minimumTorqueNewtonMeters, sampleIndex. 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
anglesDegrees	Joint angles (°)	list of number	Required
torquesNewtonMeters	Measured torques (N·m)	list of number	Required

Enter nonempty aligned finite degree and N·m lists. Signed values and unsorted angles are accepted. Return minimum torque, corresponding angle and zero-based index; ties choose first.

index=first argmin torque; angle=angles[index]

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

Output field	Meaning	Value type
stickingPointAngleDegrees	Sticking-point angle (°)	number
minimumTorqueNewtonMeters	Minimum torque (N·m)	number
sampleIndex	Sample index	integer; minimum: 0

json

{
  "input": {
    "anglesDegrees": [
      30,
      60,
      90
    ],
    "torquesNewtonMeters": [
      120,
      95,
      110
    ]
  },
  "output": {
    "stickingPointAngleDegrees": 60,
    "minimumTorqueNewtonMeters": 95,
    "sampleIndex": 1
  }
}

Limitations and assumptions

No interpolation, biomechanical leverage or actual movement failure is modeled.

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.

Alternative or Complementary methods

Use Vertical Loading Rate: Calculate vertical loading rate from the supplied measurements. For a complementary task, use Hamstring Quadriceps Ratio: Calculate isokinetic hamstring/quadriceps torque ratio against caller limits.

References

Torque Curve Sticking Point — tool.io

Similar or alternative tools

Vertical Loading Rate
Calculate vertical loading rate from the supplied measurements.
Hamstring Quadriceps Ratio
Calculate isokinetic hamstring/quadriceps torque ratio against caller limits.