Uniform Circular Motion of a race car

Click For Summary
SUMMARY

The discussion focuses on calculating the coefficient of static friction for a 990-kg race car navigating an unbanked turn at a maximum speed of 42 m/s with a turn radius of 140 m and a downforce of 12,000 N. The key equations used include the maximum static friction force formula, F s (max) = v² / r, and the equilibrium equation Fn - mg - Fd = 0. Participants expressed confusion regarding the relationship between static friction and centripetal force and sought clarification on determining maximum speed without downforce.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with centripetal force concepts
  • Knowledge of static friction and its calculations
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the centripetal force equation in circular motion
  • Learn how to calculate the coefficient of static friction in practical scenarios
  • Explore the effects of downforce on vehicle dynamics
  • Investigate the implications of tire performance on racing conditions
USEFUL FOR

Physics students, automotive engineers, and race car enthusiasts interested in the dynamics of vehicle motion and friction in racing scenarios.

wizzpowa
Messages
10
Reaction score
0

Homework Statement



A 990-kg race car can drive around an unbanked turn at a maximum speed of 42 m/s without slipping. The turn has a radius of 140 m. Air flowing over the car's wing exerts a downward-pointing force (called the downforce) of 12000 N on the car. (a) What is the coefficient of static friction between the track and the car's tires? (b) What would be the maximum speed if no downforce acted on the car?

Homework Equations



F s (max) = v squared / r
Fn - mg - Fd = 0

The Attempt at a Solution



So i got the normal force, but I am so confused on how to get Fs max. Isn't it equal to the centripetal force??
 
Physics news on Phys.org
Also, for part B, I know you just have to make the downforce equal to zero, but i am not sure how to find V.
 
hi wizzpowa! :smile:

do you still need help with this?

btw, never reply to your own first post …

it takes the thread off the No-Replies list! :redface:
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
3K
Replies
55
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
6
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
6K
Replies
11
Views
3K
Replies
4
Views
6K