Relative velocity help -- A bird flying in a wind trying to get to its nest

In summary, the bird should aim to fly in the direction of the wind vector, which is pointing approximately W(x degrees)S.
  • #1
Jas
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Homework Statement


A bird can fly in still air at 100km/h. The wind blows at 90km/h from W(x degrees)S. The bird wishes to return to its nest which is due E of its present position. In which direction, relative to the air, should it fly?My textbook says that the velocity of the bird relative to the air (bVa)= 100km/h. But this is in still air,whereas the wind is actually moving at 90km/h. So how is 100km/h= bVa?

Homework Equations

The Attempt at a Solution

 
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  • #2
Jas said:

Homework Statement


A bird can fly in still air at 100km/h. The wind blows at 90km/h from W(x degrees)S. The bird wishes to return to its nest which is due E of its present position. In which direction, relative to the air, should it fly?My textbook says that the velocity of the bird relative to the air (bVa)= 100km/h. But this is in still air,whereas the wind is actually moving at 90km/h. So how is 100km/h= bVa?

Homework Equations

The Attempt at a Solution

Please draw a diagram with the bird's velocity vector, the wind vector, and the position of the bird's nest. That will allow you to figure out what direction to aim the bird to fly to the nest. You can use the UPLOAD button in the lower right of the edit window to upload your PDF or JPEG drawing. :smile:
 
  • #3
I am compelled to note as an aside that we have here a pretty fast moving bird flying out of its nest in particularly inclement weather. According to the Saffir-Simpson scale, a tropical storm (one step below a category 1 hurricane) has sustained winds of 63-118 km/h. This problem gives new meaning to the word birdbrain. :smile:
 
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1. How does wind affect a bird's relative velocity when flying to its nest?

Wind can affect a bird's relative velocity by either aiding or hindering its movement. If the wind is blowing in the same direction as the bird's flight path, it can increase the bird's speed and therefore its relative velocity. However, if the wind is blowing in the opposite direction, it can decrease the bird's speed and relative velocity, making it more difficult for the bird to reach its nest.

2. Can a bird adjust its flight path to compensate for the wind and maintain its relative velocity?

Yes, a bird is able to adjust its flight path to compensate for the wind and maintain its relative velocity. For example, if the wind is blowing in the opposite direction of the bird's desired flight path, the bird can fly at a slight angle to counteract the effects of the wind and maintain its desired relative velocity.

3. How does the weight of the bird affect its relative velocity in the wind?

The weight of the bird does not have a significant impact on its relative velocity in the wind. The bird's weight primarily affects its acceleration and ability to maintain a certain speed, but as long as it is able to maintain its desired speed, its relative velocity will remain constant regardless of its weight.

4. Is there a limit to how fast a bird can fly in the wind?

Yes, there is a limit to how fast a bird can fly in the wind. The maximum speed at which a bird can fly is determined by its physical abilities and the strength of the wind. If the wind is too strong, it may prevent the bird from flying at its maximum speed, and therefore limit its relative velocity.

5. How do external factors such as air pressure and temperature affect a bird's relative velocity in the wind?

External factors such as air pressure and temperature can affect a bird's relative velocity in the wind by changing the density of the air. A bird flying in denser air will experience more air resistance, slowing down its speed and relative velocity. On the other hand, flying in less dense air can increase the bird's speed and relative velocity. This is why birds may fly higher in the sky to take advantage of thinner air and increase their relative velocity.

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