Crosswind Component Calculator

Find the crosswind and headwind components for a runway.

How it is calculated

The tool takes the angle between the wind and the runway heading, θ = wind direction − runway heading (degrees), and resolves the wind speed V into two parts: crosswind = |V × sin θ| and head/tail = V × cos θ. A positive cosine is a headwind; a negative one is a tailwind, and the tool prints the size of that component together with a Headwind or Tailwind label. Wind speed keeps whatever unit you enter (knots in, knots out), and both components are shown to two decimals without a unit. Direction and heading are in degrees, and a negative wind speed gives no result. The tool does not look up runway numbers and ignores gusts, so run it again with the gust speed if you need the worst case.

Worked example

The wind is reported from 280° at 20 knots and the runway heading is 250°. The angle is 280 − 250 = 30°. Crosswind = 20 × sin 30° = 20 × 0.5 = 10.00 knots. Head/tail component = 20 × cos 30° = 20 × 0.866 = 17.32 knots, and because the cosine is positive it is a headwind component. For this case the tool prints 10.00 and 17.32 with the label Headwind.

Try this example →

Common mistakes

  • Entering the runway number (25) instead of its heading in degrees (250). The tool uses the number as degrees and gives a very different answer: 19.32 crosswind and a tailwind for the same wind.
  • Mixing magnetic and true directions. Tower and ATIS winds are usually magnetic, while some forecasts are true, so make sure the wind direction and the runway heading use the same reference.
  • Entering the direction the wind is blowing towards. Reported wind direction is where the wind comes from.
  • Using the steady wind when the gusts are higher; the crosswind limit should be checked against gust speed too.
  • Reading the head/tail figure as positive for both cases. The value is always shown without a sign, so check the label to see whether it is a headwind or a tailwind.

About this calculator

This calculator resolves reported wind speed and direction into two components relative to a runway heading: the crosswind component (perpendicular to the runway, = wind speed × sine of the angle between wind and runway) and the headwind/tailwind component (parallel to the runway, = wind speed × cosine of that angle).

Pilots and student pilots use it during preflight planning and before landing to check that the crosswind stays within their own or the aircraft's demonstrated crosswind limit, and flight instructors use it to teach wind triangle concepts.

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