Car on a Banked Road

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

A car moving at velocity turns on a road banked at angle and radius of curvature . The horizontal component of the normal force acting on the center of gravity is equal to the centripetal force, which keeps the car on the road without skidding. The maximum velocity is .

Contributed by: Enrique Zeleny (October 2010)
Open content licensed under CC BY-NC-SA



The normal force has a vertical component that cancels the gravitational force: , where is the gravitational acceleration, and a horizontal component that causes the centripetal force: . Thus .

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.