Crosswind and wind component calculator.
Enter the runway heading and wind to see the crosswind, headwind or tailwind, and the gust case clearly, then switch to the live decoder when you want the airport report in the same workflow.
Standalone wind tool
Fast runway wind breakdown.
Enter the runway heading, wind direction, steady wind, and optional gust. If you only have a runway designator such as 08, SkyStudy treats it as 080 degrees.
Enter a runway heading and wind to see the split.
SkyStudy will show the steady headwind or tailwind component, the crosswind side, and the gust case so you can judge the full picture quickly.
How to read the result
A few quick notes on the wind breakdown.
How to read the result
A few quick notes on the wind breakdown.Reading the numbers
Positive headwind numbers help. Negative headwind numbers mean a tailwind component. Crosswind is shown with the direction it reaches you from, because left-versus-right matters when you brief the landing.
Quick pilot shortcut
If the runway designator is all you have, use the runway number rather than guessing the exact magnetic heading. Entering 08 is usually enough to get a practical answer fast.
Tie it back to live weather
Use the METAR and TAF decoder when you want the live airport picture first, then come back here if you want to work a manual scenario or a different runway option.
In the EASA ATPL exam
Wind component questions are a fixture of ATPL Flight Planning (subject 033) and Performance (032). Performance frames them as limits: given a wind, is the crosswind inside the aircraft's demonstrated maximum, or which runway keeps the tailwind legal. Flight Planning and General Navigation use the same trigonometry to build drift and groundspeed. The arithmetic is easy; the marks are lost in the setup, reading the angle off the wrong reference or swapping sine and cosine.
Exam-style example
You are landing on runway 24 (heading 240°) and the tower passes a wind of 300° at 20 kt. What are the components?
- Wind angle = 300 − 240 = 60° off the runway, from the right.
- Headwind = 20 × cos 60° = 20 × 0.5 = 10 kt.
- Crosswind = 20 × sin 60° = 20 × 0.866 ≈ 17 kt.
10 kt headwind and about 17 kt of crosswind from the right.
Common trap: Swapping sine and cosine. Measured from the runway axis, the crosswind takes the sine and the head or tailwind takes the cosine, so at 60° off most of the wind is across the runway, not down it. The swapped pair (17 kt headwind, 10 kt crosswind) is almost always offered as a distractor.
How to calculate the crosswind component
The formula, the clock-code shortcut and a worked example.
How to calculate the crosswind component
The formula, the clock-code shortcut and a worked example.The formula
First find the wind angle: the difference between the wind direction and the runway heading. Then split the wind: crosswind component = wind speed × sin(wind angle), and headwind component = wind speed × cos(wind angle). A negative headwind result is a tailwind. The crosswind is what limits you against the aircraft demonstrated crosswind, while the head or tailwind drives your take-off and landing distance.
The clock-code shortcut
In the flight deck you rarely reach for a calculator. The clock code treats the wind angle as minutes on a clock face: 15° is about a quarter of the wind as crosswind, 30° is a half, 45° is about two-thirds, 60° is about 90%, and 90° or more is the full wind across. So a 20 kt wind 30° off the runway gives roughly 10 kt of crosswind in your head.
Worked example
Runway 09 (heading 090°), wind reported 120° at 20 kt. The wind angle is 120 − 90 = 30°. Crosswind = 20 × sin 30° = 20 × 0.5 = 10 kt from the right. Headwind = 20 × cos 30° = 20 × 0.866 ≈ 17 kt. If the gust were 30 kt, the gust crosswind would be 30 × 0.5 = 15 kt, which is the figure you brief against the aircraft limit.
Where it shows up in the ATPL exams
Wind components run through ATPL Flight Planning, Performance and General Navigation, and the same maths sets your groundspeed and drift in the navigation problems. Practise the clock code until it is instant, then use this calculator to check your manual answer.
Frequently asked questions
Tap to read the full background and answers.
Frequently asked questions
Tap to read the full background and answers.- How do I calculate the crosswind component?
- Crosswind = wind speed × sine of the angle between the wind and the runway. Headwind = wind speed × cosine of that angle. For a 20 kt wind 30° off the nose, the crosswind is 20 × sin 30° = 10 kt and the headwind is 20 × cos 30° ≈ 17 kt.
- What does this wind calculator show?
- It splits the wind into headwind, tailwind, and crosswind components, then shows the gust case so you can see the fuller runway picture before you brief it.
- Can I enter a runway number instead of a heading?
- Yes. If you enter 08, SkyStudy treats that as 080 degrees. That is usually the quickest way to work a manual runway scenario.
- Should I use this instead of the live weather page?
- Use this page when you want a manual calculation. Use the METAR and TAF decoder when you want SkyStudy to pull live airport weather first and suggest a runway from the reported wind.
- Is the wind in a METAR true or magnetic?
- METAR and TAF winds are in degrees true. The surface wind a tower or ATIS passes for take-off and landing is magnetic, matching the runway numbers. Where the variation is large, comparing a METAR wind directly with a runway heading skews the crosswind, and ATPL questions exploit exactly that.
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