Aviation Wind Correction Angle Calculator
Calculate the wind correction angle and ground speed for any flight.
Enter true airspeed, course, and wind to get heading, ground speed, and crab angle.
Wind Correction Angle (WCA)
To fly a desired ground track in wind, the pilot must point the nose into the wind by a correction angle. The aircraft “crabs” — flies sideways relative to track — but the wind pushes it back onto course.
The triangle:
- True course (TC): The track over the ground you want to fly
- True airspeed (TAS): Aircraft speed through the air
- Wind direction / speed: Where the wind comes from + how fast
- Heading (TH): Where to actually point the nose
- Ground speed (GS): Actual speed over the ground
The wind correction angle formula (using sine rule): WCA = arcsin(Wind speed × sin(Wind angle to course) / TAS)
Where wind angle to course is the angle between the wind direction and the desired course.
Ground speed formula: GS = TAS × cos(WCA) − Wind component × cos(Wind angle)
Or simplified for headwind/tailwind: GS ≈ TAS − Headwind component
Crosswind component formula (used for runway operations): Crosswind = Wind speed × sin(angle to runway)
Headwind/tailwind component: Headwind = Wind speed × cos(angle to runway)
Reference values:
| Wind angle | sin component | cos component |
|---|---|---|
| 0° (head/tail) | 0 | 1.00 |
| 30° | 0.50 | 0.87 |
| 45° | 0.71 | 0.71 |
| 60° | 0.87 | 0.50 |
| 90° (full crosswind) | 1.00 | 0 |
Practical example:
- True course: 090° (due east)
- TAS: 120 kts
- Wind: 360°@30 kts (from north)
- Wind angle to course: 90° (perpendicular)
- WCA = arcsin(30 × 1 / 120) = arcsin(0.25) ≈ 14.5°
- Heading: 090° − 14.5° (crab into wind) = 075.5°
- Ground speed: 120 × cos(14.5°) ≈ 116 kts
Why this matters:
- VFR pilots use this to maintain a track without GPS
- IFR pilots back-up their FMS-derived headings
- Wind shift en route requires recalculation
Compass deviation reminders:
- True heading → Add West variation, Subtract East variation = Magnetic heading
- Magnetic heading → Add West deviation, Subtract East deviation = Compass heading
- Mnemonic: “East is least, West is best” — meaning subtract east, add west
Crosswind landing limits: Most general aviation aircraft have demonstrated crosswind components of 13-17 kts. Always check the POH for your specific aircraft. Personal limits should be lower than demonstrated, especially in gusty conditions.