Solve Airplane & Wind Homework: 640m/s at 57o E of S?

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SUMMARY

The discussion centers on solving a physics problem involving vector addition of velocities for an airplane navigating through wind. The maximum airspeed of the plane is 770 m/s, and the wind velocity is 150 m/s at 48° W of S. The goal is to achieve a ground velocity of 640 m/s at 57° E of S. The final solution determined by the user is a velocity of 694.11 m/s at 20.9° S of E, confirming that the pilot can achieve the desired ground velocity.

PREREQUISITES
  • Understanding of vector addition in physics
  • Familiarity with trigonometric functions for angle calculations
  • Knowledge of airspeed and ground speed concepts
  • Ability to apply the law of cosines and sines in navigation problems
NEXT STEPS
  • Study vector addition in physics, focusing on velocity components
  • Learn how to apply trigonometric functions in navigation scenarios
  • Explore the law of cosines and sines for solving triangle problems
  • Investigate real-world applications of airspeed and ground speed in aviation
USEFUL FOR

Aerospace engineering students, pilots, physics enthusiasts, and anyone interested in solving navigation problems involving wind and airspeed.

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Homework Statement


A plane has a max airspeed of 770m/s. If the wind velocity is 150m/s 48o W of S, in what direction and with what velocity should the pilot fly the plane to have a ground velocity of 640m/s at 57o E of S? Can She do it?



Homework Equations


V(plane to wind) + V(wind to ground) = V(airplane to ground)


The Attempt at a Solution


Well, I actually got to some answer, but I need someone to help me check if it is correct. If not, can you please help me?

For velocity and direction I got 686.6m/s at 19o S of E.

Thank you!
 
Physics news on Phys.org
nvm i solved it on my own.. i got 694.11m/s 20.9 S of E
 

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