How do I make a compensation vector?

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SUMMARY

The discussion focuses on calculating a compensation vector for an airplane navigating against wind. The airplane is traveling N74W, while the wind is blowing N20E, resulting in a resultant vector of 324 mph directed N67W. To compensate for the wind's effect, the user is advised to utilize vector addition principles, specifically by constructing a vector triangle to visualize the relationships between the vectors involved.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Familiarity with compass directions and their representation in vector form
  • Basic knowledge of trigonometry, particularly sine and cosine functions
  • Experience with drawing vector diagrams
NEXT STEPS
  • Study vector addition techniques in physics, focusing on relative motion
  • Learn how to construct and interpret vector triangles
  • Explore the application of trigonometric functions in vector calculations
  • Review examples of navigation problems involving wind compensation
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Students in physics or pre-calculus courses, particularly those working on projects involving vector analysis and navigation, as well as educators teaching vector concepts.

yamugushi
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Homework Statement


I'm currently doing an airplane project in pre-calc, it is physics related so I put it here.
The problem is I have a plane, it's going N74W, wind is going N20E, the resultant vector is 324mph, and N67W, how do I compensate?


Homework Equations


I remember going over it once in class but I really don't want to screw it up since this project (which is a lot bigger than just this problem) is supposed to be a big part of the grade.


The Attempt at a Solution


I think I'm just supposed to make a vector go NxW, but I'm not sure how to get it.
 
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Hi yamugushi! :smile:

Relative velocities obey the law of vector addition, so draw a vector triangle :wink:
 

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