Determine the ground speed and the course of the plane

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SUMMARY

The discussion focuses on calculating the ground speed and course angle (θ) of a plane with an airspeed of 200 m/s directed north and a wind speed of 30 m/s. Participants confirm that using the cosine and sine theorems on the vector diagram is the correct approach to solve the problem. The emphasis is on applying vector analysis rather than computing components, streamlining the solution process. This method ensures accurate determination of the resultant ground speed and course angle.

PREREQUISITES
  • Understanding of vector addition and resolution
  • Familiarity with trigonometric functions (sine and cosine)
  • Basic knowledge of physics principles related to motion
  • Ability to interpret vector diagrams
NEXT STEPS
  • Study vector addition in physics to enhance problem-solving skills
  • Learn how to construct and analyze vector diagrams
  • Explore applications of the cosine and sine theorems in real-world scenarios
  • Practice additional problems involving wind effects on aircraft navigation
USEFUL FOR

Aerospace engineering students, physics learners, and anyone interested in understanding the impact of wind on aircraft navigation will benefit from this discussion.

Alexanddros81
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Homework Statement


15.1 The airspeed of the plane is 200m/s, directed north. If the wind speed is 30m/s
in the direction shown, determine the ground speed and the course (angle θ) of the plane.

Homework Equations


Pytel Fig 15_1 b.jpg


The Attempt at a Solution



Pytel 15_1.jpg


Is it so far correct the above?
More questions will follow regarding the vector diagram and understanding of theory
 

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It seems correct, but you do not really need to compute the components. Just apply the cosine and sine theorems on the vector diagram.
 

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