Weather calculator

Free wind correction angle calculator

Enter your true airspeed, the wind, and your desired course to get the wind correction (crab) angle, the heading to fly, the crosswind and headwind components, and your ground speed — solved from the E6B wind triangle, updated live, as you type.

InputsLive
True airspeed
kt
Wind speed
kt
Wind direction (from)
°
Desired course
°
Result
Wind correction angle
9.2° right
Fly heading 009° to hold a 360° course — crab 9.2° to the right. Ground speed ≈ 95 kt.
Heading to fly009°
Ground speed95 kt
Crosswind19.3 kt
Headwind23.0 kt

For flight planning awareness, not a substitute for an official briefing or your E6B. How accurate is this?

Results are estimates. Consult a professional.

What it is

What the wind correction angle (crab angle) is

The wind correction angle (WCA), also called the crab angle, is the small angle you point the nose of an aircraft away from your desired course to cancel out a crosswind. Because wind pushes the aircraft sideways through the air mass it flies in, the path you actually trace over the ground (your course) is not the direction the nose points (your heading). To track the course you want, you head a few degrees into the wind — you "crab."

This calculator solves the classic E6B wind triangle. Give it your true airspeed, the wind speed and direction, and the course you want to fly, and it returns the wind correction angle (with the direction to crab), the heading to fly, the crosswind and head- or tailwind components, and your resulting ground speed.

The rule is simple: crab into the wind. If the wind comes from your right, you turn the nose right of course; if it comes from your left, you turn left. The stronger the crosswind relative to your airspeed, the larger the angle you need.

How it's calculated

How the wind correction angle is calculated

The wind triangle relates three vectors: where the aircraft moves through the air (true airspeed along the heading), how the air itself moves (the wind), and the result over the ground (ground speed along the course). The calculator first measures the wind relative to your course, then splits it into the part that pushes you sideways (the crosswind) and the part that pushes you forward or back (the head- or tailwind).

WA = wind direction course (the wind angle, relative to course)
crosswind = WS × sin(WA)
head/tailwind = WS × cos(WA)
WCA = arcsin( (WS × sin(WA)) ÷ TAS )
ground speed = TAS × cos(WCA) WS × cos(WA)
heading = course + WCA
This is the standard wind-triangle / E6B flight-computer method taught for the FAA airman knowledge tests, presented in the FAA Pilot's Handbook of Aeronautical Knowledge (FAA-H-8083-25). The calculator works in true directions and true airspeed; for navigation you apply magnetic variation, compass deviation, and your indicated-to-true airspeed correction separately.
The inputs

What you need to enter

Four numbers solve the triangle. Three come straight from your flight plan and weather briefing; the fourth is the leg you want to fly.

True airspeed (TAS)

Your speed through the air in knots — indicated airspeed corrected for altitude and temperature, not the raw number on the airspeed indicator. TAS is the speed the wind triangle is built on, because the wind acts on the air mass you fly through. The same thin, warm air that raises true airspeed also raises your density altitude, so the two often climb together.

Wind speed and direction

The wind at your altitude, from a winds-aloft forecast or ATIS. Direction is the bearing the wind blows from, in degrees. Note that winds-aloft forecasts are given in degrees true, while ATIS and the tower report magnetic — convert to a common reference before you compare a heading to a course.

Desired course

The direction of your leg over the ground, in degrees — the line you drew on the chart. The calculator finds the heading that, once the wind has had its way, leaves you tracking exactly this course.

Example

A worked example using the wind correction angle calculator

Example: a northbound leg with a quartering headwind

You are flying a course of 360° (due north) at a true airspeed of 120 kt. The winds-aloft forecast gives the wind from 040° at 30 kt — a wind coming over your right shoulder. Which way, and how far, do you crab, and how fast will you actually be going over the ground?

Step 1 — Find the wind angle relative to course

The wind is from 040° and the course is 360°, so the wind angle is 040 − 360 = 40° off the nose, from the right.

Step 2 — Split the wind into crosswind and headwind

Crosswind = 30 × sin(40°) = 19.3 kt from the right. Head/tailwind = 30 × cos(40°) = 23.0 kt of headwind.

Step 3 — Solve for the correction angle and heading

WCA = arcsin(19.3 ÷ 120) = 9.2° to the right. So you fly a heading of 360 + 9.2 ≈ 009° to track a 360° course.

Step 4 — Read the ground speed

Ground speed = 120 × cos(9.2°) − 23.0 ≈ 95 kt. The headwind has cost you about 25 kt over the ground even though you crabbed only 9°.

Crab 9.2° right → heading 009°, ground speed ≈ 95 kt
Point the nose at 009° and the 30-kt quartering wind leaves you tracking due north at about 95 kt over the ground. These are exactly the figures the calculator returns for these inputs.
Quick reference

Wind correction angle chart by crosswind and airspeed

The wind correction angle depends only on the crosswind component as a fraction of true airspeed — not on the wind's total strength. This chart gives the WCA in degrees for a range of crosswind components and airspeeds. Read down to your crosswind component (wind speed × sin of the wind angle), across to your true airspeed.

Crosswind90 kt TAS120 kt TAS150 kt TAS
10 kt6.4°4.8°3.8°
20 kt12.8°9.6°7.7°
30 kt19.5°14.5°11.5°
40 kt26.4°19.5°15.5°

Wind correction angle = arcsin(crosswind ÷ TAS). The angle grows quickly once the crosswind passes a third of your airspeed; if the crosswind ever equals your true airspeed, the course cannot be held at all.

On the runway

The crab angle and crosswind landings

The same crab angle shows up on every crosswind approach. As you fly the final approach course, a crosswind drifts you toward the downwind side, so you point the nose into the wind to track the runway centerline — exactly the WCA this calculator finds, with the approach course as your "course" and the surface wind as the wind.

The difference is what happens at touchdown. You cannot land crabbed — the wheels must roll straight down the runway. In the common crab-to-kick-out technique, you hold the crab down final, then just before the wheels touch you use rudder to align the nose with the centerline (the "kick"), adding aileron into the wind to stop the drift. Knowing the crab angle in advance tells you how strong the crosswind is and how much you will have to take out in the flare.

Crosswind component, not total wind
A 25-kt wind 30° off the runway is only about a 12-kt crosswind — well within most light aircraft. The same 25 kt at 90° is a full 25-kt crosswind that may exceed the aircraft's demonstrated crosswind limit. Always work from the crosswind component, which is what this tool computes.
Accuracy

How accurate is this wind correction angle calculator?

The wind triangle is exact geometry, not an approximation: given the true airspeed, the wind, and the course, the wind correction angle, heading, and ground speed are computed exactly. The accuracy of the answer is therefore the accuracy of your inputs — chiefly the forecast wind, which is the least certain number in any flight plan.

Two limits are worth knowing. First, the tool works entirely in true directions and true airspeed; for an actual compass heading you must apply magnetic variation and compass deviation, and you must convert indicated airspeed to true. Second, if the crosswind component ever equals or exceeds your true airspeed, no heading can hold the course — the calculator flags this rather than returning a meaningless angle.

Planning awareness, not a clearance
This calculator is for understanding and pre-flight estimation. It is not a substitute for an official weather briefing, your aircraft's flight manual, or a current E6B / approved navigation computer. Fly the numbers your briefing, instruments, and procedures give you.
Definitions

Wind correction angle definitions

The angle between the heading you fly and the course you track over the ground, used to cancel a crosswind. You crab into the wind, so a wind from the right gives a right correction.
Heading is the direction the nose points; course is the path the aircraft traces over the ground. In any crosswind the two differ by the wind correction angle.
The part of the wind acting at right angles to your course (or runway): wind speed × sine of the wind angle. It is what the crab angle cancels and what limits crosswind landings.
The part of the wind acting along your course: wind speed × cosine of the wind angle. A headwind slows your ground speed; a tailwind speeds it up.
The aircraft's speed through the surrounding air mass, equal to indicated airspeed corrected for altitude and temperature. The wind triangle is built on TAS, not indicated airspeed.
The aircraft's actual speed over the ground, the result of true airspeed combined with the wind. It sets your true time en route.
Questions

Frequently asked questions about the free wind correction angle calculator

A wind correction angle calculator is a free online tool that helps you the crab angle to fly to hold your course in a crosswind — solved from the E6B wind triangle, with heading, crosswind, headwind, and ground speed. The wind correction angle (crab angle) is how far you point the nose into the wind to track your desired course. It comes from the wind triangle: split the wind into a crosswind and a head/tailwind, then crab until your airspeed's sideways component cancels the crosswind. It runs entirely in your browser with instant results and no sign-up.
It is the angle you point the nose of the aircraft away from your desired course to cancel a crosswind, so the path you trace over the ground matches the course you want. You always crab into the wind: a wind from the right means a correction to the right.
Take the crosswind component — wind speed times the sine of the angle between the wind and your course — and divide it by your true airspeed, then take the arcsine. WCA = arcsin(crosswind ÷ TAS). The heading to fly is your course plus that angle.
Heading is the direction the nose points; course is the path the aircraft actually tracks over the ground. In any crosswind they differ by the wind correction angle — you head into the wind to track the course you intend.
It is the same angle. On a crosswind approach you crab into the wind to track the runway centerline, then just before touchdown align the nose with the runway using rudder, since the wheels must roll straight ahead. Knowing the crab angle tells you how strong the crosswind is.
What matters is the crosswind component, not the total wind. You can hold a course even with a wind faster than your true airspeed, as long as the crosswind component stays below it. If the crosswind component reaches or exceeds your airspeed, no heading can hold the course and the calculator flags it.
About

About this Wind correction angle calculator

This wind correction angle calculator runs entirely in your browser. Nothing you enter is sent anywhere — your airspeed, wind, and course stay on your device, and the wind-triangle solution updates instantly as you adjust them.

It uses the standard E6B wind-triangle method from the FAA Pilot's Handbook. For more flight-planning tools, see our other weather calculators, or browse the full library of free calculators.

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