Walk Run Froude Screen

Screen a gait-speed Froude number against a caller-selected transition value.

Description

A Froude number normalizes gait speed squared by gravity and leg length.

A Froude number normalizes gait speed squared by gravity and leg length. The transition value is a caller-defined comparison rather than a universal gait switch.1

Screen a gait-speed Froude number against a caller-selected transition value.

When to use Walk Run Froude Screen

Use this tool to screen a gait-speed Froude number against a caller-selected transition value.

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

How to use Walk Run Froude Screen 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 walkingSpeedMps, legLengthM, gravityMps2, transitionFroude using the field table and calculation rules, then run the tool.
  3. Read froudeNumber, atOrAboveTransition. 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
walkingSpeedMpsWalking speed mpsnumberRequired
legLengthMLeg length mnumberRequired
gravityMps2Gravity mps 2numberRequired
transitionFroudeTransition froudenumberRequired

Enter nonnegative speed/threshold and positive length/gravity. Return dimensionless Fr and inclusive ≥transition flag.

Fr=speed²/(gravity×legLength)

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

Output fieldMeaningValue type
froudeNumberFroude numbernumber
atOrAboveTransitionAt or above transitionboolean
json
{
  "input": {
    "walkingSpeedMps": 2,
    "legLengthM": 0.8,
    "gravityMps2": 10,
    "transitionFroude": 0.5
  },
  "output": {
    "froudeNumber": 0.5,
    "atOrAboveTransition": true
  }
}

Limitations and assumptions

No gait observation, physiological diagnosis or individualized transition speed is fitted.

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 Cadence Stride Speed Solver: Solve one missing gait speed, step cadence, or step length from the other two. For a complementary task, use Gait Duty Factor: Calculate stance duty factor and compare against a supplied walking cutoff.

References

  1. Walk Run Froude Screen — tool.io

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