# The smell of burned rubber

Race car tracks bank their turns so that cars can go faster without sliding off the track. Consider a banked race car track. The track is in the shape of a circle of radius $$300~\mbox{m}$$ and the track is banked at an angle of $$20^\circ$$ with respect to the horizontal. The maximum speed of race cars around this track is $$v_b$$. The maximum speed of race cars around a non-banked (flat) track of the same radius is $$v_f$$. What is $$v_b/v_f$$?

Details and assumptions

• The coefficient of static friction $$\mu$$ between car tires and the track can be taken to be one. Tires don't like to slide.
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