Dynamic Similarity Dimensionless Speed Calculator

Dynamic similaritySPEEDv/√(gh),not Froudenumberv²/(gh),trackwayAlexanderinversionor guaranteedgait. Actual independently identified specimens,matched units/taxon/cohort/source/edition/calibration and model applicability external;not individual identity,causation,diagnosis,absolute age certainty or validated forecast.

Description

Dimensionless speed scales an independently established speed by gravity and hip height.

Dimensionless speed scales an independently established speed by gravity and hip height.1

Squaring this ratio gives the corresponding Froude convention, so the two measures must not be confused.

When to use Dynamic Similarity Dimensionless Speed Calculator

Use this tool to apply the stated dynamic similarity dimensionless speed calculator operation with an explicit input and unit basis.

How to use Dynamic Similarity Dimensionless Speed Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualIndependentSpeed, callerGravity, actualIndependentHipHeight and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualIndependentSpeedIndependent speed, on the basis specified in the algorithm.numberrequired; finite; nonnegative; further conditions in the algorithm
callerGravityGravity, on the basis specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm
actualIndependentHipHeightIndependent hip height, on the basis specified in the algorithm.numberrequired; finite; strictly positive; further conditions in the algorithm

Require nonnegative speed and positive gravity and hip height in coherent units. Divide speed by the square root of gravity times height.

dimensionless speed = v/√(gh)

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueDimensionless speed v/√(gh), without squaring.number
json
{
  "input": {
    "actualIndependentSpeed": 2,
    "callerGravity": 1,
    "actualIndependentHipHeight": 1
  },
  "output": {
    "result": {
      "value": 2
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use Stride Length to Hip Height Ratio Calculator. Stride-to-hip ratio normalizes a full trackway stride against independently established hip height.

For a related operation, use Pole Vault Energy Approximate Height. Approach energy can be expressed as a conditional rise in a pole vaulter's center of mass.

References

  1. Dynamic Similarity Dimensionless Speed Calculator — tool.io

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