• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Minimum coefficient of friction to keep cars from sliding off the road

A banked circular highway curve is designed for traffic moving at 61 km/h. The radius of the curve is 201 m. Traffic is moving along the highway at 44 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to take the turn without sliding off the road? (Assume the cars do not have negative lift.)


Fk=ukFn
Fs, max=usFn
F=mv^2/R


Honestly no idea at how to attempt it. Although I did find that θ needed to be:
tanθ=v^2/gR
tanθ=12.2^2/(9.8)(201)
θ=4.32°

Thank you for any help!
 

tms

644
17
Re: Minimum coefficient of friction to keep cars from sliding off the

As always, the first step is to draw a diagram showing all the forces acting on the car.
 

Related Threads for: Minimum coefficient of friction to keep cars from sliding off the road

Replies
12
Views
1K
Replies
2
Views
2K
Replies
4
Views
4K
  • Posted
Replies
1
Views
7K
  • Posted
Replies
6
Views
3K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top