v=[r*g*tan(theta)]^.5
theta=height/(max radius - min radius)
To solve for smallest speed, substitute min radius for "r" in velocity equation.
To solve for largest speed, substitute max radius for "r" in velocity equation.
Good luck! Greetings from UCF!
On a banked race track, the smallest circular path on which cars can move has a radius of 114 m, while the largest has a radius of 170 m, as the drawing illustrates. The height of the outer wall is 17.5 m. Find (a) the smallest and (b) the largest speed at which cars can move on this track without relying on friction.
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