There Is No Such Thing as Centrifugal Force: Part III
The 'forces' that the driver and other objects inside the car feel are actually centripetal. The term centrifugal, or "centre fleeing," refers to the inertial tendency to resist the centripetal force and to continue going straight. If the centripetal force is constant in magnitude, the centrifugal tendency will be constant. There is no such thing as centrifugal force (although it is a convenient fiction for the purpose of some calculations).
Let's figure out exactly how much sideways acceleration is needed to keep a car going at speed v in a circle of radius r. We can then convert this into force using Newton's second law, and then figure out how fast we can go in a circle before exceeding the adhesive limit-in other words, we can derive maximum cornering speed. For the following discussion, it will be helpful for you to draw little back-of-the-envelope pictures (I'm leaving them out, giving our editor a rest from transcribing my graphics into the newsletter).