Ground Speed Formula:
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Definition: This calculator determines the ground speed of an aircraft or vehicle by accounting for wind direction and speed.
Purpose: It helps pilots, navigators, and transportation professionals calculate effective speed over ground when wind is a factor.
The calculator uses the formula:
Where:
Explanation: The cosine of the wind angle determines how much the wind affects the vehicle's speed, with headwinds (0°) having maximum negative effect and tailwinds (180°) having maximum positive effect.
Details: Accurate ground speed calculations are crucial for flight planning, fuel estimation, and arrival time predictions in aviation and maritime navigation.
Tips: Enter the vehicle's airspeed, wind angle (0° for headwind, 180° for tailwind), and wind speed. All values must be ≥ 0, with wind angle between 0-180°.
Q1: What's the difference between airspeed and ground speed?
A: Airspeed is speed through the air mass; ground speed is speed relative to the ground, affected by wind.
Q2: How do I determine wind angle?
A: Wind angle is measured from your direction of travel (0° = headwind, 90° = crosswind, 180° = tailwind).
Q3: Why does wind angle matter?
A: The angle determines how much the wind affects your speed - headwinds slow you down more than crosswinds.
Q4: What units should I use?
A: The calculator uses meters/second, but you can convert from knots (1 knot = 0.514 m/s) or mph (1 mph = 0.447 m/s).
Q5: Does this account for crosswind component?
A: This calculates only the speed effect, not directional drift. For crosswind component, use \( W_s \times \sin(\theta) \).