Magnus Force Calculator
Calculate the Magnus force on a spinning ball โ deflection, spin parameter, and lateral acceleration for baseball, soccer, tennis, golf, and more. Includes sports reference table.
Calculate aircraft ground speed from true airspeed, wind speed, and wind direction. Includes headwind/crosswind components and wind correction angle.
| Scale | Description | Wind (kt) |
|---|---|---|
| 0 | Calm | < 1 |
| 1 | Light air | 1โ3 |
| 2 | Light breeze | 4โ6 |
| 3 | Gentle breeze | 7โ10 |
| 4 | Moderate breeze | 11โ16 |
| 5 | Fresh breeze | 17โ21 |
| 6 | Strong breeze | 22โ27 |
| 7 | Near gale | 28โ33 |
| 8 | Gale | 34โ40 |
Ground speed is the actual speed at which an aircraft moves over the earth's surface. It differs from true airspeed (TAS) because of wind โ a headwind reduces ground speed, a tailwind increases it, and a crosswind requires a crab angle to stay on course. Knowing the ground speed is essential for flight planning, fuel calculations, and ETA estimation.
This Ground Speed Calculator takes your true airspeed, wind speed, and both directions (wind and heading) to compute the ground speed, headwind and crosswind components, and the wind correction angle (crab angle) needed to maintain your desired track. It supports knots, mph, and km/h.
Whether you are planning a cross-country flight, checking an IFR leg, or comparing wind effects in training, This calculator gives the full wind-triangle result in one place without manual vector math or an E6B flight computer.
Solving the wind triangle by hand with an E6B or manual vector diagram is time-consuming and error-prone. This calculator turns TAS, wind speed, wind direction, and heading into ground speed plus headwind and crosswind components immediately.
Ground Speed (vector addition):
GS_x = TAS โ W_s ร cos(W_d โ HDG)
GS_y = โW_s ร sin(W_d โ HDG)
GS = โ(GS_xยฒ + GS_yยฒ)
Wind Correction Angle:
WCA = arcsin(W_crosswind / TAS)
Where:
TAS = true airspeed
W_s = wind speed
W_d = wind direction (FROM)
HDG = aircraft headingResult: 230 kt ground speed
With a TAS of 250 knots and a direct headwind of 20 knots, the ground speed is 250 โ 20 = 230 knots. No crab angle is needed because the wind is directly on the nose.
Every cross-country flight involves solving the "wind triangle" โ the vector relationship between the aircraft's heading and TAS, the wind direction and speed, and the resulting track and ground speed. Before GPS, pilots relied on the E6B flight computer or manual vector diagrams on charts. Today the calculation is done digitally, but understanding the underlying vector math remains essential for any pilot.
The headwind component is the portion of the wind speed that directly opposes (or aids) your direction of travel. The crosswind component is the perpendicular portion that causes drift. Runway crosswind limits for an aircraft are typically specified in knots. Knowing how to decompose the wind into these components is critical for takeoff and landing decisions.
When filing a flight plan, ground speed determines leg times and therefore fuel requirements. An unexpected headwind increase can turn a comfortable fuel reserve into a diversion scenario. Conversely, a stronger-than-forecast tailwind can shorten the flight. Monitoring ground speed in flight โ comparing GPS ground speed to planned ground speed โ is one of the simplest and most important checks a pilot can make.
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Airspeed is the speed of the aircraft relative to the surrounding air mass. Ground speed is the speed relative to the earth's surface. They differ by the wind vector.
The wind correction angle (WCA), also called the crab angle, is the angle the pilot must point the nose into the wind to maintain the desired ground track. It compensates for crosswind drift.
Aviation convention reports wind as the direction it blows FROM. A wind from 270ยฐ means the wind is coming from the west. This matches METAR and ATIS reports.
Yes, with a tailwind. If TAS is 250 kt and the tailwind is 30 kt, the ground speed is approximately 280 kt.
TAS depends on indicated airspeed, altitude (pressure), and temperature. This calculator assumes you already know TAS, so it can focus on the wind triangle itself.
Yes. It performs the same wind-triangle calculation as the wind side of an E6B, but with a direct digital result.
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