Runway Wind Components

Resolve a reported wind onto a specific runway using theta = windFromDeg - runwayHeadingDeg, headwindComponentKt = windSpeedKt * cos(theta) and crosswindComponentKt = windSpeedKt * sin(theta).

Description

Resolve a reported wind into signed headwind and crosswind components for a specific runway heading.

Runway Wind Components resolve a reported wind into signed headwind and crosswind components for a specific runway heading.

Use this before comparing a wind report with aircraft or runway operating limits, or when a performance calculation needs the along-runway component rather than total wind speed.

When to use Runway Wind Components

Use this before comparing a wind report with aircraft or runway operating limits, or when a performance calculation needs the along-runway component rather than total wind speed.

How it works

The calculator subtracts runway heading from the direction the wind comes from, then applies cosine for the headwind component and sine for the crosswind component. A negative headwind is a tailwind; the crosswind sign preserves side.1, 2

Interpreting the result

Keep the input units, direction conventions, encoding, and ordering rules visible when reusing the result. Preserve the full returned value for downstream calculations and round only for presentation.

Limitations and assumptions

Headings must share the same magnetic or true reference. This geometric decomposition does not account for gust policy, runway contamination, terrain, wind shear, or aircraft-specific limitations.

References

  1. Pilot's Handbook of Aeronautical Knowledge — Federal Aviation Administration

  2. Wind triangle — Wikipedia contributors

Similar or alternative tools

  • Wind Decomposition Calculator

    Decompose a wind relative to the course into headwind and crosswind components using headwindComponentKt = windSpeedKt * cos(angle) and crosswindComponentKt = windSpeedKt * sin(angle).

  • Quartering Wind Component

    Resolve reported wind-from direction and speed against a runway heading. Positive headwind means wind from ahead; a negative value is a tailwind. Signed crosswind is relative to the heading and should be interpreted with local runway convention.

  • Crosswind Takeoff Check

    Resolve wind speed into an absolute crosswind component relative to runway heading and compare it with a user-supplied aircraft or pilot limit. This checks only the wind component, not runway condition or takeoff performance.

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