Airplane Motion in Plane: West 900 km/h vs NE 300 km/h

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SUMMARY

The discussion centers on calculating the ground speed and direction of an airplane flying due west at 900 km/h while encountering a northeast wind of 300 km/h. Participants emphasize the use of trigonometric principles, specifically the Sine Rule and Cosine Rule, to resolve the non-right triangle formed by the airplane's velocity vector and the wind vector. The solution requires vector addition to determine the resultant direction and speed of the airplane relative to the ground.

PREREQUISITES
  • Understanding of vector addition in physics
  • Knowledge of trigonometric functions, specifically the Sine and Cosine Rules
  • Familiarity with basic concepts of airspeed and ground speed
  • Ability to interpret and draw vector diagrams
NEXT STEPS
  • Study the Sine Rule and Cosine Rule in detail
  • Learn how to perform vector addition in two dimensions
  • Explore real-world applications of vector analysis in aviation
  • Practice problems involving wind effects on flight paths
USEFUL FOR

Aerospace engineers, physics students, and anyone interested in understanding the effects of wind on aircraft navigation.

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Homework Statement


An airplane maintains a heading due west at an airspeed of 900 km/h. It is flyinh through a hurricane with winds of 300 km/h from northeast.
a) in which direction is the plane moving relative to the ground?

Homework Equations

The Attempt at a Solution


so I have draw the picture of how it looks, and written my givens down, this is confusing me because it is no longer a right angle triangle, what do I have to do?[/B]
 
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RENI2345 said:

Homework Statement


An airplane maintains a heading due west at an airspeed of 900 km/h. It is flyinh through a hurricane with winds of 300 km/h from northeast.
a) in which direction is the plane moving relative to the ground?

Homework Equations

The Attempt at a Solution


so I have draw the picture of how it looks, and written my givens down, this is confusing me because it is no longer a right angle triangle, what do I have to do?[/B]
Use trigonometry for non-right triangles.

Do you know the Sine Rule? The Cosine Rule?

http://www.cimt.plymouth.ac.uk/projects/mepres/step-up/sect4/index.htm

Scroll down a bit from the top.
 
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