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A highway curve forms a section of a circle. A car goes around the curve as shown in the helicopter view in the figure below. Its dashboard compass shows that the car is initially heading due east. After it travels d = 838 m, it is heading θ = 36.0° south of east. Find the radius of curvature of its path. Suggestion: Use s-r where θ is in radians.

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Answer #1

the car travels a distance d=838 meters

angle = 36.0 degrees

r=radius of curvature r=d/theta

r=838/0.6283

r=1333.75 meters

36 degree is equal to 0.6283 radians

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