Cadence Change Prescription

Translate a planned cadence increase into target steps/min and step-length factor.

Description

Cadence-change arithmetic translates a chosen percent increase into a target cadence.

Cadence-change arithmetic translates a chosen percent increase into a target cadence. At fixed speed, step length decreases in inverse proportion.1

Translate a planned cadence increase into target steps/min and step-length factor.

When to use Cadence Change Prescription

Use this tool to translate a planned cadence increase into target steps/min and step-length factor.

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

How to use Cadence Change Prescription and understand its results

  1. Prepare the measured movement, timing, load or preassigned score requested. Keep protocols, units, paired measurements and caller-selected thresholds consistent.
  2. Enter currentCadenceSpm, plannedIncreasePercent using the field table and calculation rules, then run the tool.
  3. Read targetCadenceSpm, cadenceDeltaSpm, stepLengthFactorAtFixedSpeed. The explanation below defines the units, signs, ordering and any flags or placeholder values.
  4. 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 fieldMeaningValue type; see rules belowRequirement
currentCadenceSpmCurrent cadence spmnumberRequired
plannedIncreasePercentPlanned increase percentnumberRequired

Enter positive steps/min and nonnegative planned increase. Return target, delta and fixed-speed length factor.

target=current(1+increase/100); stepFactor=current/target

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

Output fieldMeaningValue type
targetCadenceSpmTarget cadence spmnumber
cadenceDeltaSpmCadence delta spmnumber
stepLengthFactorAtFixedSpeedStep length factor at fixed speednumber
json
{
  "input": {
    "currentCadenceSpm": 160,
    "plannedIncreasePercent": 5
  },
  "output": {
    "targetCadenceSpm": 168,
    "cadenceDeltaSpm": 8,
    "stepLengthFactorAtFixedSpeed": 0.9523809523809523
  }
}

Limitations and assumptions

The increase is supplied; no safe or optimal cadence prescription is derived.

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.

Alternative or Complementary methods

Use Cadence Stride Speed Solver: Solve one missing gait speed, step cadence, or step length from the other two. For a complementary task, use Running Vertical Oscillation Screen: Compare running vertical oscillation to stride length and a chosen ceiling.

References

  1. Cadence Change Prescription — tool.io

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