Air Race from Metropolis to Aniba Gothic and Back

  • Context: MHB 
  • Thread starter Thread starter leprofece
  • Start date Start date
  • Tags Tags
    Air Race
Click For Summary
SUMMARY

The discussion focuses on calculating the time required for an aircraft to complete an air race from Metropolis to Aniba Gothic and back, considering wind effects. The aircraft maintains a constant speed, denoted as v, while Aniba Gothic is located a distance D to the east of Metropolis. The time calculations for wind blowing to the east and south are provided, with the formulas being b) 2D*v/(v²-w²) and c) 2D/√(v²-w²), respectively. Participants express uncertainty regarding the accuracy of these answers, particularly the second formula.

PREREQUISITES
  • Understanding of basic physics concepts related to motion and speed
  • Familiarity with vector addition in the context of wind effects on flight
  • Knowledge of algebraic manipulation for solving equations
  • Basic comprehension of flight dynamics and navigation
NEXT STEPS
  • Study the effects of wind on aircraft flight paths
  • Learn about vector components in aviation navigation
  • Explore advanced topics in flight dynamics and aerodynamics
  • Investigate real-world applications of flight time calculations in air racing
USEFUL FOR

Aerospace engineers, pilots, physics students, and aviation enthusiasts interested in understanding the impact of wind on flight times and navigation strategies.

leprofece
Messages
239
Reaction score
0
3.82 in an air race, an aircraft flies from a point directly above Metropolis to a point directly city aniba Gothic, turn and return at starting point. The speed of the aircraft with respect to the air is constant in all the flight and equal to v. city is Gothic a distance D to the East of Metropolis. (Cuanto tiempo se requiere si sepla un viento con rapidez constante w b) to the East? (c) towards the South?

Answer b) \frac{2Dv}{v^2-w^2} I have no idea of this answer It should be 2d/v-w

c) \frac{2d}{\sqrt{v^2-w^2}}}
 
Mathematics news on Phys.org
MODIFIED

in an air race, an aircraft flies from a point directly above Metropolis to a point directly on the top of Gothic city, turn and return at starting point. The speed of the aircraft with respect to the air is constant in all the flight and equal to v. city is Gothic a distance D to the East of Metropolis. (How much time is required if a wind blows at constant speed w b) to the East? (c) towards the South?

Answer b) \frac{2Dv}{v^2-w^2} I have no idea of this answer It should be 2d/v-w

c) \frac{2d}{\sqrt{v^2-w^2}}}
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
Replies
2
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 11 ·
Replies
11
Views
5K
Replies
25
Views
4K
  • · Replies 8 ·
Replies
8
Views
4K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
10K
  • · Replies 1 ·
Replies
1
Views
5K