What is Airspeed? Definition, Explanation, and Equations

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Airspeed is the velocity of an aircraft relative to the air, while windspeed refers to the speed of the air relative to the ground. The true speed of a plane relative to the ground can be calculated by adding the airspeed and windspeed as vectors. This relationship is expressed in the equation V_{GP} = V_{GA} + V_{AP}, where V_{GP} is the ground speed, V_{GA} is the windspeed, and V_{AP} is the airspeed. The terminology can be confusing, as "airspeed" refers to the aircraft's speed in relation to the air rather than the air itself. Understanding these concepts is crucial for accurate navigation and flight performance.
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Definition/Summary

Airspeed is the speed (or velocity, V_{AP}) of a plane relative to the air, or (same thing) relative to the wind.

Moving air is like moving water: an object will tend to be carried along at the same velocity as the moving air or water. In air and water (and any other fluid), that can be called a current. In air, it is more usually called wind.

Confusingly, windspeed is the speed of the air (or wind) relative to the ground: V_{GA}.

The true speed of the plane (relative to the ground) can be found from a vector triangle, or by adding the windspeed and airspeed (as vectors): V_{GP}\ =\ V_{GA}\ +\ V_{AP}

Equations



Extended explanation

Adding velocities as vectors:

All vectors are relative.

For a position vector, that's obvious … the vector is from one position to another.

But it's also true for a velocity vector … it's from one velocity to another!

So just as you can write a position vector as AP, and get equations like GA + AP = GP,

you can write a velocity vector as AP, and get equations like GA + AP = GP,

except perhaps it's clearer if you emphasise that they're velocities by writing VGA + VAP = VGP.

For example, if A P and G represent (the velocities of) the air a plane and the ground, then:
the velocity of the plane relative to the ground (true speed, V_{GP})
= the velocity of the air relative to the ground (windspeed, V_{GA})
+ the velocity of the plane relative to the air (airspeed, V_{AP})​
ie:
V_{GP} = V_{GA} + V_{AP}​

"airspeed" and "windspeed":

"windspeed" is the correct term for the speed of the wind, but "airspeed" isn't the correct term for the speed of the air! silly name isn't it? :wink:

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Thanks for the detailed explanation of airspeed!
 
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