# 11.2 Worked Example - Car on a Banked Turn

A car of mass $$\displaystyle m$$ is turning on a banked curve of angle $$\displaystyle \phi$$ with respect to the horizontal. The curve is icy and friction between the tires and the surface is negligible. The curve has a radius $$\displaystyle r$$. What is the speed $$\displaystyle v$$ at which the car can turn safely? Express your answer in terms of $$\displaystyle g$$, $$\displaystyle r$$, and $$\displaystyle \phi$$.

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