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Wind & Runway

Crosswind Calculator

Split the wind into crosswind and head/tailwind components for any runway.

Inputs

°
°
kt

Result

Crosswind component

10kt

From the right

Headwind component

17kt

Wind angle to runway

off the right

30°

10 kt crosswind from the right, 17 kt headwind

Formula

Ref
  • θ = wind direction − runway heading
  • Crosswind = wind speed × sin(θ)
  • Headwind = wind speed × cos(θ)

Worked example

Ref

Landing runway 09 (090°), wind reported 120° at 20 kt.

  1. 1.Wind angle θ = 120° − 090° = 30° (from the right).
  2. 2.Crosswind = 20 × sin(30°) = 20 × 0.5 = 10 kt.
  3. 3.Headwind = 20 × cos(30°) = 20 × 0.866 = 17.3 kt.

10 kt crosswind from the right, 17 kt headwind.

How it works

Ref

Wind rarely blows straight down the runway. Resolving it into a crosswind component (across the runway) and a headwind/tailwind component (along it) tells you how much drift you must correct on approach and whether the crosswind is within your aircraft's — and your own — demonstrated limit.

DGCA student tip

Exam

For quick mental maths use the clock code: wind 15° off ≈ ¼, 30° ≈ ½, 45° ≈ ⅔, 60°+ ≈ full. A 30° wind gives roughly half its speed as crosswind — exactly what this tool confirms.

Common mistakes

Watch
  • Using the wind's 'to' direction instead of the meteorological 'from' direction.
  • Mixing magnetic and true when the runway is magnetic but the wind (ATIS) is also magnetic — keep both in the same reference.
  • Forgetting that a wind more than 90° off the nose becomes a tailwind.