© Copyright, Department of Physics, University of Illinois at Urbana-Champaign

Car On An Icy Off-Ramp

A car exits a freeway on a circularly-shaped ramp that is banked at an angle of q = 23.5°. The ramp has a radius of curvature R = 48.6 meters. The ramp is icy, so you can neglect the effects of friction. If the total mass of the car and driver is m = 1397 kilograms, what constant speed v must the driver maintain in order for the center of mass of the car to stay in the center of the ramp?

Note: Use gravity g = 9.81 m/s2.

v = km/hr