Wind Correction Angle Calculator — Find WCA, True Heading & Ground Speed

Wind Correction Angle Calculator

Our wind correction angle (WCA) calculator uses vector analysis to determine the precise correction angle needed to fly your aircraft along its desired course despite crosswind. Enter your true airspeed, wind speed, wind direction, and desired course to instantly find your true heading and ground speed.

Effect of Wind on the Aircraft Flight Path

When flying from point A to point B along a desired course, crosswind will deflect the aircraft off track. Without correction, the aircraft follows an unintended track and arrives at the wrong destination. To maintain the desired course, the pilot must apply a wind correction angle — pointing the nose into the wind so the crosswind component is cancelled out.

What Is Wind Correction Angle?

The wind correction angle (WCA) is the angle between the aircraft's heading (the direction the nose points) and the desired course (the direction you want to travel). By pointing the nose into the wind by this angle, the aircraft's actual path over the ground follows the intended route.

• True Course (TC) — the direction you want to fly over the ground (0°–360°).
• Wind Direction (WD) — the direction from which the wind blows (meteorological convention).
• True Airspeed (TAS) — the aircraft's speed relative to the surrounding air mass.
• Ground Speed (GS) — the aircraft's actual speed over the ground.
• True Heading (TH) — the direction the nose points; equals TC + WCA.

How to Calculate Wind Correction Angle

The wind correction angle formula is derived from the triangle of velocities (also called the navigation triangle):

1. Calculate the relative wind angle: WA = Wind Direction − True Course (normalized to −180° … +180°).
2. Calculate the crosswind component: CW = Wind Speed × sin(WA).
   A positive value means wind from the right; negative means from the left.
3. Calculate the headwind component: HW = Wind Speed × cos(WA).
   Positive = headwind (opposing flight); negative = tailwind (assisting flight).
4. Calculate the wind correction angle: WCA = arcsin(CW / TAS).
5. Calculate the true heading: TH = TC + WCA.
6. Calculate the ground speed: GS = TAS × cos(WCA) − HW.

Note: The formula requires Wind Speed < TAS. If the wind is stronger than the airspeed, the aircraft cannot maintain course on that heading.

Unit Systems

• American (Imperial) — speeds in knots (kts), directions in degrees.
• Metric — speeds in km/h, directions in degrees.

All angle inputs (wind direction and true course) use the standard compass convention (0°–360°, measured clockwise from true north).

Practical Example

Suppose you want to fly a true course of 360° (due north) at a true airspeed of 120 kts. The wind is from 270° (west) at 20 kts.

• Relative wind angle: 270° − 360° = −90° → normalized = −90° (from the left).
• Crosswind: 20 × sin(−90°) = −20 kts (from left).
• Headwind: 20 × cos(−90°) ≈ 0 kts (pure crosswind).
• WCA = arcsin(−20 / 120) ≈ −9.6° (turn left into the wind).
• True Heading = 360° + (−9.6°) = 350.4°.
• Ground Speed = 120 × cos(9.6°) − 0 ≈ 118.3 kts.

Tips for Pilots

• Always verify that your true airspeed exceeds the wind speed before calculating WCA.
• A pure headwind or tailwind requires no correction (WCA = 0°) but affects ground speed significantly.
• For larger wind correction angles, your effective ground speed is noticeably lower than TAS.
• This calculator assumes still-air conditions (no turbulence, constant wind). Real-world wind varies with altitude.
• For further study, consult the Pilot's Handbook of Aeronautical Knowledge published by the FAA.