Crosswind Component
Calculator
Results
- Crosswind component (knots)
- -7.524443
- Headwind component (knots)
- 20.673237
- Wind angle to runway (degrees)
- -20
Aviation and marine results
| Crosswind component (knots) | -7.524443 |
| Headwind component (knots) | 20.673237 |
| Wind angle to runway (degrees) | -20 |
formula-map diagram
- Crosswind component (knots)
- -7.524443
- Headwind component (knots)
- 20.673237
- Wind angle to runway (degrees)
- -20
Aviation and marine relationship
Formula
Crosswind = V × sin(θ)= -7.5244431531647
Note
This is a simplified model: it applies a standard navigation, performance or seamanship formula to the numbers you entered. True airspeed and density altitude use the ISA troposphere model for dry air and ignore humidity, compressibility and instrument or position error, so they are not a substitute for your aircraft's flight manual or an air data computer. Wind, climb, descent and fuel figures assume a steady wind and a constant speed and fuel flow for the whole leg; they ignore manoeuvring, holding, taxi and start-up fuel, terrain, turbulence and air traffic control routing. Takeoff distance scales an entered sea level figure by a rule-of-thumb percentage per 1000 ft of density altitude and is not a certified performance chart. Weight and balance results depend entirely on the arms and weights you enter and must be checked against the approved loading envelope. Hull speed is the classic 1.34 × √LWL displacement estimate, boat fuel burn is a horsepower-based approximation, anchor scope is a rule of thumb, and the rule of twelfths is a linear approximation of a sinusoidal tide that does not hold in all locations. Always use official charts, tide tables, the aircraft or vessel manuals and current weather, and treat these numbers as planning estimates only.
More in Aviation and marine
See all →Frequently asked questions
What is the crosswind component and why does it matter?+
The crosswind component is the part of the wind blowing perpendicular to the runway or your flight path. It's critical for takeoff and landing because it pushes the aircraft sideways, requiring correction with rudder and aileron, and every aircraft has a maximum demonstrated crosswind limit.
How is the crosswind component calculated from wind speed and direction?+
It's found using the sine of the angle between the wind direction and the runway heading, multiplied by the total wind speed: crosswind = wind speed × sin(angle). A wind blowing straight down the runway (0° angle) has zero crosswind component, while one blowing straight across (90°) has the full wind speed as crosswind.
What's the difference between crosswind and headwind components?+
They're the two perpendicular parts of the same wind vector: the headwind component uses cosine of the angle and acts along the runway, while the crosswind component uses sine and acts across it. Together they fully describe how the wind affects the aircraft relative to the runway.
Is a bigger angle between wind and runway always worse?+
Not necessarily — a 90° angle maximizes crosswind but produces zero headwind or tailwind, while a smaller angle reduces crosswind but may leave a tailwind component if the wind is coming from behind. Pilots evaluate both components together, not crosswind alone.
Why do gusts matter more than the reported steady crosswind value?+
Aircraft crosswind limits are often based on steady wind, but gusts can momentarily push the crosswind component well above that limit. Pilots should calculate the crosswind using the gust speed as well as the mean speed to see the worst-case value they may need to handle.