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Lake Fetch Wind Direction Projection Tool

Resolve a supplied fetch segment relative to a caller-defined wind axis in radians.

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Description

Project a supplied lake fetch along and across wind.

Waterbody volume and sampling support depend on depth orientation, layer geometry and interval overlap. A representative layer or covered depth can be summarized without recovering bathymetry or establishing representative ecological sampling. Unique covered thickness differs from the full span between distant intervals.

Project a supplied lake fetch along and across wind.

When to use this tool

Use Lake Fetch Wind Direction Projection when checking the stated waterbody geometry, layer volume or sampling-support convention.

How to use the tool and how it works

  1. Enter fetch, angleRadians. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read alongWind, crossWind. Use the output convention below.

Project a supplied lake fetch along and across wind. Require fetch >= 0; alongWind = fetch*cos(angleRadians), crossWind = fetch*sin(angle).1

Input fieldMeaning and unitsAccepted input
fetchFetchRequired. Finite number; minimum 0.
angleRadiansAngle in radians on the specified axis/sign convention.Required. Finite number.
Output fieldInterpretationReturned shape
alongWindAlong WindRequired. Finite number.
crossWindCross WindRequired. Finite number.
json
{
  "input": {
    "fetch": 10,
    "angleRadians": 0
  },
  "output": {
    "alongWind": 10,
    "crossWind": 0
  }
}

Limitations and assumptions

  • The angle is signed radians relative to the chosen axis; no shoreline search, wind observation or wave/hazard model is computed.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use verified bathymetry and sampling records with an appropriate complete spatial model for whole-waterbody quantities or ecological conclusions.

References

  1. Calculation and input contract: aquatic-science/lake-fetch-wind-direction-projection — tool.io

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