Centripetal Force: Find Min Radius of Airplane Path

Click For Summary
SUMMARY

The discussion focuses on calculating the minimum radius of an airplane's circular path given a speed of 141 m/s and a maximum radial acceleration of 8.88 g. The relevant equations include the centripetal acceleration formula, v²/r, and Newton's second law, Fnet = M x A. By substituting the values into the equations and converting 8.88 g to meters per second squared, users can derive the minimum radius required for safe flight.

PREREQUISITES
  • Understanding of centripetal acceleration and its formula v²/r
  • Knowledge of Newton's second law, Fnet = M x A
  • Ability to convert gravitational acceleration (g) to meters per second squared
  • Basic algebra for rearranging equations
NEXT STEPS
  • Calculate the equivalent of 8.88 g in m/s² for accurate conversions
  • Practice solving problems involving centripetal force and radius
  • Explore the effects of speed changes on minimum radius in circular motion
  • Learn about the implications of radial acceleration limits in aviation safety
USEFUL FOR

Aerospace engineering students, physics learners, and anyone interested in the dynamics of circular motion in aviation.

DJB1991
Messages
2
Reaction score
0

Homework Statement



An Airplane is flying ina horizontal circle at a speed of 141 m/s. The 94.2 Kg pilot does not want his radial acceleration to exceed 8.88 g.

What is the minimum radius of the circular path?

Homework Equations



v^2/r
Fnet = M x A

The Attempt at a Solution



141^2 / .00888 kg?
 
Physics news on Phys.org
Just try equating f=ma with your centripetal force. Then re-arrange for r. Think about what 8.88g is interns of acceleration
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
Replies
16
Views
956
  • · Replies 21 ·
Replies
21
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K