Enter the wind speed, true airspeed, and angle of flight into the calculator to determine the ground speed of an aircraft.

## Ground Speed Formula

The following formula is used to calculate a ground speed.

Vg = cos (a) * v_{tas} + ws

- Where Vg is the ground velocity/speed
- a is the angle between the horizon and the path of the aircraft in the vertical plane
- v
_{tas}is the true air speed - ws is the wind speed

## Ground Speed Definition

**What is ground speed? **A ground speed is defined as the horizontal component of the velocity of an aircraft relative to the Earth’s surface.

## Example Problem

How to calculate ground speed?

**First, determine the angle.**Measure the angle between the horizon and the path of the aircraft in the vertical plane. For this example, the angle is 45 degrees.

**Next, determine the true airspeed.**For this problem, the TAS is found to be 100m/s.

**Next, determine the wind speed.**The wind speed is 5m/s.

**Finally, calculate the ground speed.**Using the formula above, the ground speed is found to be Vg=cos(45)*100+5 = 75.710.

## FAQ

**Is ground speed faster than air speed? **A ground speed can be faster than an air speed when traveling at a low angle and when their is a strong tailwind.

**Can ground speed be negative? **Technically, if there is a very strong headwind paired with a slow moving aircraft traveling at a high angle, the ground speed of an aircraft could be negative.

**Does ground speed increase with altitude? **Ground speed is dependent on true airspeed, and wind velocity. True airspeed depends on the density of the air around the aircraft, and sense air density changes with altitude, so will the true airspeed and ground speed. Since we know that density decreases with altitude, we can infer that ground speed will increase with an increase in altitude.