What Is the Maximum Speed a Car Can Turn Without Skidding?

[Trentonx]

A certain car has a minimum turning radius of 8.2 m. If the coefficient of static friction between the tires and road is µ = 0.2, what is the maximum speed the car can have without skidding on an unbanked road if the steering wheel is turned fully to the right?

I know that this problem will need that centripetal acceleration is equal to velocity squared over the radius. a_c=V^2/R
Also, F≤μN, the equation of static friction.
Possibly the Circumference of a circle C=2(pi)r

I am assuming that the a_c has to be equal to the static friction. However, the only problems with static friction have been blocks sitting on level surfaces and inclines. I know that a_c points towards the center of the circle, but which way does the friction force go?

 

[LowlyPion]

Welcome to PF.

You've got the general idea.

just equate the 2 forces - friction and centripetal - the masses drop out and you have the condition you need to satisfy.

 

[Trentonx]

I hadn't even thought of the fact the the normal force is just mg. Thanks, that was the help I needed.