Circular Motion force problem?

[glindawantsme]

Homework Statement

Fiction provides the force needed for a car to travel around a flat, circular race track. What is the maximum speed at which a car can safely travel if the radius of the track is 80 meters, and the coefficient of friction is .40?

Homework Equations

Absolutely no clue!

The Attempt at a Solution

I really attempted this problem but came up with nothing worth putting in here. Please help!

 

[tiny-tim]

fictitious force

Hi glindawantsme!

Fiction provides the force …

That's exactly why centrifugal force is called a fictitious force!

… needed for a car to travel around a flat, circular race track. What is the maximum speed at which a car can safely travel if the radius of the track is 80 meters, and the coefficient of friction is .40?

Hint: start by calculating the centripetal acceleration at speed v.

Show us what you get, and where you're stuck, and then we'll know how to help.