A car goes around a curve on a road that is banked at an angleof 32.0°. Even tho

Question

A car goes around a curve on a road that is banked at an angleof 32.0°. Even though the road isslick, the car will stay on the road without any friction betweenits tires and the road when its speed is 27.0 m/s.
What is the radius of thecurve?             A car goes around a curve on a road that is banked at an angleof 32.0°. Even though the road isslick, the car will stay on the road without any friction betweenits tires and the road when its speed is 27.0 m/s.
What is the radius of thecurve?            

Explanation / Answer

tan32°=(mv²/mgR)=(v²/gR) R=v²/(g*tan32°) = 27^2/(9.8tan32) = 119.05 m

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