Circular Motion: angle that the airplane makes with horizon?

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SUMMARY

The discussion focuses on calculating the angle that an airplane's wings make with the horizontal during a turn, given a speed of 75 m/s and a turning radius of 80 m. The correct angle, as stated in the textbook, is 7.9°. Participants emphasize the importance of using relevant equations and diagrams to visualize the forces acting on the airplane to arrive at this solution.

PREREQUISITES
  • Understanding of circular motion principles
  • Familiarity with trigonometric functions
  • Knowledge of forces acting on an airplane during a turn
  • Ability to interpret and create free-body diagrams
NEXT STEPS
  • Study the equations of circular motion in physics
  • Learn how to apply trigonometric functions in aviation contexts
  • Explore free-body diagram techniques for analyzing forces on aircraft
  • Investigate the effects of different speeds and radii on turning angles
USEFUL FOR

Aerospace engineering students, physics learners, and aviation enthusiasts seeking to understand the dynamics of airplane turns and the calculations involved.

captinkareem1
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Homework Statement


The aeroplane is traveling at a speed of 75 m/s and the radius of the turning circle is 80 m.


Homework Equations


Calculate the angle which the airplane wings make the with horizontal during the turn.


The Attempt at a Solution


I tried but I couldn't get to the answer. the textbook answer was 7.9°. Would appreciate it someone was able to figure it out
 
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Show us what you have done. You should start by writing down the relevant equations and drawing a diagram of the forces on the plane.
 

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