Plane Traveling against the wind

  • Thread starter Thread starter larrylancaster
  • Start date Start date
  • Tags Tags
    Plane Wind
Click For Summary

Homework Help Overview

The discussion revolves around a problem involving a plane traveling from point A to point B, with point B located 400 km directly south of point A. The plane is flying at a speed of 220 km/hr north while facing a wind blowing at 62 km/hr from east to west. Participants are exploring the angle the plane should orient to maintain a straight path to point B and whether this angle differs when the plane flies directly south.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the angle of orientation needed for the plane to fly straight to point B, with one participant suggesting an angle of 16.4 degrees. There is confusion about whether this angle is the same when the plane flies directly south. Questions arise regarding the clarity of the problem statement and the implications of the wind's effect on the plane's heading.

Discussion Status

The discussion is ongoing, with participants questioning the assumptions made in the problem statement. Some have pointed out potential ambiguities in the description of the plane's direction and speed, while others have requested clarification on the original question. There is no explicit consensus yet, but the dialogue is focused on understanding the problem better.

Contextual Notes

Participants note that the problem may contain inconsistencies, such as the plane's stated direction and the wind speed. There is a suggestion to use aviation conventions for heading angles to clarify the discussion further.

larrylancaster
Messages
1
Reaction score
0
Homework Statement
This was a two step question on my homework. I got the same answer for both so I think I got it wrong
Relevant Equations
Sin(@) = o/h Tan(@) = o/a
So the question was if a plane is going from point A (origin) to point B 400 km directly south of point A at 220km/hr north and there is a wind going 62 km/hr east to west, what angle should the plane orient to go straight from point A to point B? I got something lik 16.4 degrees. The second part was if the plane flies straight north to south, what angle will the plane be heading? Wouldn't the answer be the same for both?
 
Physics news on Phys.org
larrylancaster said:
Homework Statement:: This was a two step question on my homework. I got the same answer for both so I think I got it wrong
Relevant Equations:: Sin(@) = o/h Tan(@) = o/a

I got something lik 16.4 degrees.
16.4 degrees measured with respect to what? That is insufficient to specify direction. Same for the second part.

On edit:
Better yet, give the headings using the aviation convention of heading angle increasing clockwise from zero (due North) to 360° as shown in the picture below.

Heading.png
 
Last edited:
So the question was if a plane is going from point A (origin) to point B 400 km directly south of point A at 220km/hr north and there is a wind going 62 km/hr east to west, what angle should the plane orient to go straight from point A to point B? I got something lik 16.4 degrees. The second part was if the plane flies straight north to south, what angle will the plane be heading? Wouldn't the answer be the same for both?
Sorta crappily stated question.

The two aren't the same : the first part implies the nose is not pointed due south (but it still flies due south), the second it is pointed due south (but will miss point B).
 
  • Like
Likes   Reactions: Lnewqban
larrylancaster said:
Homework Statement:: This was a two step question on my homework. I got the same answer for both so I think I got it wrong
Relevant Equations:: Sin(@) = o/h Tan(@) = o/a

So the question was if a plane is going from point A (origin) to point B 400 km directly south of point A at 220km/hr north and there is a wind going 62 km/hr east to west, what angle should the plane orient to go straight from point A to point B? I got something lik 16.4 degrees. The second part was if the plane flies straight north to south, what angle will the plane be heading? Wouldn't the answer be the same for both?
Welcome!
Could you post the full text as shown in the original question?
How could the airplane be “going from point A (origin) to point B 400 km directly south of point A at 220km/hr north”?
 
  • Like
Likes   Reactions: nasu
Lnewqban said:
How could the airplane be “going from point A (origin) to point B 400 km directly south of point A at 220km/hr north”?
Its heading was recorded just as it was about to pass over the North Pole? :oldbiggrin:

...or...

The "62"km/hr wind is missing a zero. :woot:
 
  • Like
Likes   Reactions: Lnewqban

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
17
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 17 ·
Replies
17
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
6
Views
2K