Crosswind Calculator

Computes crosswind = wind speed × sin(angle) and headwind = wind speed × cos(angle).

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Crosswind calculator

crosswind · headwind · tailwind · knots

Instructions — Crosswind Calculator

1

Enter wind speed

Use the speed from your ATIS, METAR or weather observation. Aviation uses knots; surface weather often uses mph or km/h. The calculator handles all three. Default is 20 knots, a typical moderate breeze.

2

Enter the angle to runway

Subtract the runway heading from the wind direction. Both come from the magnetic compass. A wind from 270° on a 240° runway gives 30° relative — the wind is 30° off the runway centreline. Angles always run 0-180°.

3

Read the components

Crosswind is the part of the wind pushing you sideways. Headwind (or tailwind) is the part along the runway. The assessment band shows whether the crosswind is within typical certified limits for general aviation and commercial aircraft.

The 90/45/30/15 rule. At 90° relative angle, full wind is crosswind. At 60°, crosswind is 87%. At 45°, 71%. At 30°, 50%. At 15°, only 26%. Pilots use these mental fractions to size up the situation without a calculator.
Gust factor matters. METAR reports often include a gust value (e.g. 18G28 knots). Plan crosswind for the gust, not the steady speed. The FAA Pilot Handbook recommends adding half the gust margin to your approach speed.

Formulas

Wind is a vector. The runway is a line. The two components are the projections of the wind onto and perpendicular to the runway.

Crosswind component
$$ V_{cross} = V_{wind} \times \sin(\theta) $$
Perpendicular component of wind relative to the runway. At 90° relative, it equals the full wind speed. At 0° (wind on the nose) it is zero. The sine function smoothly handles every angle between.
Headwind component
$$ V_{head} = V_{wind} \times \cos(\theta) $$
Component along the runway, opposing the takeoff or landing direction. Positive for headwind, negative for tailwind. Pilots prefer headwind because it lowers ground speed at touchdown and shortens the landing roll.
Relative angle
$$ \theta = |W_{dir} - R_{hdg}| $$
Absolute difference between wind direction and runway heading, both in magnetic degrees. If the result exceeds 180°, subtract from 360° to get the shorter side. ATIS reports wind in magnetic; runway headings on charts are also magnetic.
FAA crosswind limit reference
$$ V_{cross,demo} \leq 25\% \times V_{stall} $$
FAR 25.237 requires transport aircraft to demonstrate safe operation in a crosswind no less than 20 knots or 25% of stall speed in landing configuration, whichever is greater. The demonstrated value becomes the published limit in the airplane flight manual.
Knots to mph and km/h
$$ 1\;kt = 1.151\;mph = 1.852\;km/h $$
Aviation worldwide uses knots — one nautical mile per hour. A nautical mile equals one minute of latitude, which makes chart distances and time-of-flight calculations clean. Surface meteorology often reports km/h or m/s.
Gust factor for approach
$$ V_{app} = V_{ref} + \frac{V_{gust} - V_{wind}}{2} $$
FAA-recommended approach correction. When wind is gusty (G factor in METAR), add half the gust margin to the reference approach speed. A 18G28 wind adds 5 knots to approach speed.

Reference

Crosswind component by angle (% of wind speed)
Relative angleCrosswind %Headwind %Example (20 kt wind)
0° (direct headwind)0%100%CW 0 / HW 20 kt
15°26%97%CW 5 / HW 19 kt
30°50%87%CW 10 / HW 17 kt
45°71%71%CW 14 / HW 14 kt
60°87%50%CW 17 / HW 10 kt
75°97%26%CW 19 / HW 5 kt
90° (direct crosswind)100%0%CW 20 / HW 0 kt
120°87%50% tailCW 17 / TW 10 kt
180° (direct tailwind)0%100% tailCW 0 / TW 20 kt

Typical crosswind limits by aircraft

Demonstrated crosswind values from manufacturer flight manuals. The published number is what the certification test pilot achieved on a dry, level runway; many operators set internal limits 2-5 knots lower for line operations.

GA General aviation
AircraftDemo. crosswind
Cessna 17215 kt
Cessna 18215 kt
Piper Cherokee 14017 kt
Piper Archer17 kt
Cirrus SR2220 kt
Diamond DA4020 kt
Beechcraft Bonanza22 kt
CMRC Commercial transport
AircraftDemo. crosswind
Embraer E17527 kt
Airbus A22032 kt
Airbus A32033 kt (dry)
Boeing 737-80033 kt (dry)
Boeing 75733 kt
Boeing 77738 kt
Boeing 747-40040 kt

Wet, snow-covered or icy runways reduce the limit by 5-10 knots. The values above are dry-runway demonstrated maxima; consult the AFM (airplane flight manual) and the operator-specific OM for the legal limit on any given flight.

Article — Crosswind Calculator

Crosswind calculator: components, limits and pilot decision-making

A crosswind component is the part of the wind that pushes perpendicular to the runway. The formula is crosswind = wind speed × sin(angle), where the angle is between the wind direction and the runway heading. A 20-knot wind at 45° to the runway produces 14.1 knots of crosswind and 14.1 knots of headwind. The Cessna 172 has a demonstrated crosswind of 15 knots; the Boeing 737 limit is 33 knots on a dry runway. Wet, snow-covered or icy surfaces drop those numbers by 5-10 knots.

The calculator above accepts wind speed in knots, mph or km/h and an angle from 0 to 180°. It returns both components plus an assessment band against typical aircraft limits. The math is the same vector decomposition every pilot learns in ground school.

What is a crosswind component?

Wind is a vector. A runway is a line. The wind vector splits into two perpendicular components: one along the runway (headwind or tailwind) and one across it (crosswind).

The crosswind component matters because it pushes the aircraft sideways during the takeoff roll and the final stages of landing. Wheels resist sideways motion only up to a point; beyond that, gear can be damaged or the aircraft departs the runway. Every certified aircraft has a demonstrated maximum crosswind beyond which the manufacturer makes no operational guarantee.

The crosswind and headwind formulas

The decomposition uses basic trigonometry. With theta as the angle between wind direction and runway heading:

The wind decomposition
Crosswind = wind speed × sin(angle)
Headwind = wind speed × cos(angle)
20 kt at 45° = 14.1 kt cross + 14.1 kt head

At 0° (wind directly on the nose), all of the wind is headwind and none is crosswind. At 90° (wind from the side), all of it is crosswind and none is headwind. At intermediate angles the wind splits between the two. The split is not linear: at 30° the crosswind is only 50%, but at 60° it is 87%. Pilots memorise these fractions for quick mental math.

Crosswind limits by aircraft

Every aircraft has a demonstrated crosswind component documented in the airplane flight manual. The number is what a manufacturer test pilot achieved during certification — not necessarily the upper limit, but the value with evidence of safe handling.

  • Cessna 172 15 knots demonstrated
  • Piper Cherokee 140 17 knots
  • Cirrus SR22 20 knots
  • Embraer E175 27 knots
  • Airbus A320 33 knots (dry runway)
  • Boeing 737-800 33 knots
  • Boeing 777 38 knots
  • Boeing 747-400 40 knots

The values increase with aircraft size because heavier aircraft have more lateral inertia and more capable rudder authority. They are not legal limits unless the operator publishes them as such; many airlines set internal limits 2-5 knots below the manufacturer figure. Wet runways typically reduce the limit by 5-10 knots; ice can drop it to 10-15 knots regardless of certified value.

Crosswind landing techniques

Two techniques dominate crosswind approaches. In the crab method, the pilot points the nose into the wind during final approach, tracking straight down the centreline despite sideways drift. Just before touchdown, rudder aligns the nose with the runway. Crab is comfortable in transport aircraft because the cabin sits straight on the runway most of the way.

Did you know

Crosswind landings of 40+ knots are documented at major hubs like Düsseldorf during winter storm events.

The alternative is the wing-low or sideslip technique. The pilot lowers the upwind wing into the wind and uses opposite rudder to keep the nose aligned. The aircraft tracks straight, but with the upwind wing visibly lower. Wing-low is standard for general aviation; it allows touchdown one wheel at a time, reducing side-load on the gear.

Reading wind from ATIS and METAR

Pilots get wind from two main sources. ATIS broadcasts current conditions in plain language: "Wind 270 at 15, gusts 22." The first three digits are the magnetic direction the wind is from; the next number is the steady speed in knots. The gust value, if present, is the peak.

METAR is the coded international format: "27015G22KT" means from 270°, 15 knots, gusts to 22. The same format is used everywhere except Russia and China (which use Beaufort or m/s).

Tip

When calculating crosswind, use the gust value rather than the steady wind. Gusts produce the worst-case sideways force at the moment when the aircraft is slowest and least controllable. FAA guidance: plan for the gust, not the average.

Crosswind on wet and icy runways

Runway surface condition changes everything. A dry, ungrooved asphalt runway gives full tyre friction. A wet runway reduces friction by 20-50%; in heavy rain, hydroplaning becomes possible and friction drops further. Snow-covered runways give 40-60% of dry friction. Icy runways can fall to 10-20%.

Manufacturer demonstrated crosswind values assume dry runways. Operators typically reduce the limit by 5 knots for wet and 10-15 knots for contaminated. The FAA Airplane Flying Handbook recommends pilots add their own margin when the runway is anything less than dry, especially for general aviation aircraft without anti-skid brakes.

! Wet-runway crosswind compounds with hydroplaning risk

A wet runway crosswind is more than just a sliding tyre. Dynamic hydroplaning starts around 9 times the square root of tyre pressure (in psi) — about 110 knots for a typical light-jet tyre at 150 psi. Above hydroplaning speed, lateral control authority drops to nearly zero. Combined with strong crosswind, the aircraft can depart the runway despite full rudder. Reverse-thrust selection is delayed in many SOPs until directional control is confirmed.

Crosswind rule-of-thumb shortcuts

Pilots use mental shortcuts to estimate crosswind without a calculator. The clock-face rule: imagine the runway at 12 o'clock and the wind as another hour hand. At 15° (one hour past) use 25%; at 30° use 50%; at 45° use 75%; at 60°+ assume 100%.

A more precise mental trick uses three easy sines: sin(30°) = 0.50, sin(45°) = 0.71, sin(60°) = 0.87. For most flight planning, multiplying wind speed by one of these is enough.

Common crosswind mistakes

Using steady wind instead of gust. Crosswind planning must use the peak gust value. The moment of touchdown is when the aircraft is slowest and most vulnerable; a gust at that moment produces the worst-case lateral force.

Forgetting magnetic vs true direction. ATIS reports wind in magnetic degrees. Runways are also labeled in magnetic. Mixing magnetic wind with true runway heading produces a 5-15° error depending on geographic location.

Treating the demonstrated value as a legal limit. The manufacturer demonstrated crosswind is informational. Many operators set lower internal limits. Recreational pilots should fly their own personal minimums well below the demonstrated value, especially early in their license.

Ignoring the runway surface. A 20-knot crosswind on a dry runway is manageable for most light aircraft. The same 20 knots on a wet, contaminated or icy runway can produce uncontrollable sliding.

Skipping the headwind component. A wind reported as "180 at 30, runway 18" is all headwind, no crosswind. The same wind on runway 36 is a 30-knot direct tailwind — far more dangerous than the crosswind. Always check both components.

FAQ

Crosswind component equals wind speed multiplied by the sine of the angle between the wind and the runway. With a 20-knot wind at 45° to the runway: 20 × sin(45°) = 20 × 0.707 = 14.1 knots of crosswind. The headwind component is wind speed times the cosine of the same angle.
The Cessna 172 has a demonstrated crosswind component of 15 knots in the flight manual. This is not a legal limit but a value the certification pilot achieved on test. Most flight schools cap student solo operations at 10-12 knots. Experienced pilots routinely land in 15-18 knot crosswinds without incident, but pushing beyond demonstrated values is at the pilot in command discretion.
The Boeing 737-700/800/MAX has a 33-knot demonstrated crosswind on a dry runway. The limit drops to about 25 knots on a wet runway and 15 knots on snow or ice. Operators typically set their own internal limits 2-5 knots lower than the manufacturer figure for normal line operations.
Headwind = wind speed × cos(angle). If the angle exceeds 90° relative to the runway direction of flight, the result is a tailwind rather than headwind. A 20-knot wind at 60° gives 20 × cos(60°) = 10 knots headwind. At 120° it gives 10 knots tailwind.
Crosswind drifts the aircraft sideways during final approach and flare. Pilots compensate using one of two techniques: crab (point the nose into the wind, then kick straight at touchdown) or wing-low (bank into the wind, opposite rudder to keep nose straight). Both keep the wheels aligned with the runway at touchdown to avoid side loads on the landing gear.
Major airports place primary runways aligned with the most frequent strong wind directions to minimise typical crosswind. JFK has runways oriented at 040°, 130°, 220° and 310° to handle winds from any quadrant. Secondary runways are deliberately offset so at least one direction is usable in any prevailing wind. The runway numbering (04, 13, 22, 31) reflects magnetic heading divided by 10.
One knot is one nautical mile per hour. 1 knot = 1.151 mph = 1.852 km/h. Aviation uses knots universally because nautical miles match the spherical geometry of charts. Surface meteorology and ground vehicles use mph (US, UK) or km/h (everywhere else). The crosswind calculator handles all three.
There is no universal threshold. Safety depends on the aircraft demonstrated limit, the pilot proficiency, runway surface (dry, wet, icy), runway width and visibility. As rough guidance: under 10 knots is routine, 10-15 is moderate for general aviation, 15-25 is challenging, 25+ is approaching certified limits for most commercial aircraft. Above 35 knots most operators suspend operations.