Question

an aeroplane is travelling northward with a velocity of 300km/hr with respect to earth . wind is blowing from east to west at a speed of 100 km/hr . what is velocity of the aeroplane with respect to the wind?​

Answer 1

This is a pretty standard “wind triangle” problem, and since the 1930s, pilots have been using mechanical computers to solve them. These days, you can do the same thing with a special purpose calculator or an app on your phone, and when you're really out there flying, a modern plane can do it for you.

Of course, a qualified pilot should still know what she's doing and be able to figure this out in about ten seconds without either (a) relying entirely on automation and shortcuts or (b) having to derive the solution anew from trigonometry and/or the Pythagorean theorum.

In any case, there's two things that are just a little bit “off” about the way this question has been posed.

The first is that the wind is “blowing westward.” In Aviation, we never talk about the direction the wind is GOING, instead we always talk about where it's coming FROM.

The second is that there's ambivalence between the plane's heading (the way it's facing) and its course (the way it's moving). The difference between the two is the wind. If the plane is maintaining a heading, without correcting for wind, then it will be blown away from its course, and the effect of the wind is called its drift angle. If the plane is staying on course, its heading will be turned slightly into the wind, and this same discrepancy is now called the wind correction angle. The OP question conflates these two, apparently asking for a drift angle, even though it declares that the plane is in fact flying North.

So, to answer this question, I'm going to say that the wind is FROM the east at 80kph, and that the plane is in fact on course “flying” North (not drifting), and its heading of 015 (that is, fifteen degrees to the right of 360) has been corrected for wind. That correction angle also comes with a speed along the ground about ten kph slower than the plane's speed through the air.Answer:

Explanation:

in this answer its given 80kph and converted into 100

Answer 2

The velocity of the Aeroplane with respect to the wind 316.22 km/h.

Explanation:

Given that,

Velocity of the Aeroplane, $v_a=300\ km/h$ (northwards)

Velocity of the wind, $v_w=100\ km/h$ (East to west)

Let v is the velocity of the Aeroplane with respect to the wind. The resultant of the velocity is given by :

$v=\sqrt{v_w^2+v_a^2} \\\\v=\sqrt{300^2+100^2} \\\\v=316.22\ km/h$

So, the velocity of the Aeroplane with respect to the wind 316.22 km/h.

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Velocity

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