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A soapbox racer rounds a curve banked at 28.0° with a radius of 30.0 meters. The

ID: 1401988 • Letter: A

Question

A soapbox racer rounds a curve banked at 28.0° with a radius of 30.0 meters. The tread on the racer's old tires is nearly gone so it can't provide much friction to keep the racer on track. How fast can the racer go around the curve without requiring friction to stay on track in m/s? A soapbox racer rounds a curve banked at 28.0° with a radius of 30.0 meters. The tread on the racer's old tires is nearly gone so it can't provide much friction to keep the racer on track. How fast can the racer go around the curve without requiring friction to stay on track in m/s?

Explanation / Answer

We know that for safe turn the minimum velocity
tan(angle) =V2/2g   where V is the minimum velocity
V = (2gtan(angle))1/2
V = (2*9.81*tan28)1/2
= 3.2298 m/s

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