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24 October, 23:24

A roadway for stunt drivers is designed for racecars moving at a speed of 40 m/s. A curved section of the roadway is a circular arc of 230 m radius. The roadway is banked so that a vehicle can go around the curve with the friction force from the road equal to zero. At what angle is the roadway banked?

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  1. 25 October, 00:52
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    Bank angle = 35.34o

    Explanation:

    Since the road is frictionless,

    Tan (bank angle) = V^2/r*g

    Where V = speed of the racing car in m/s, r = radius of the arc in metres and g = acceleration due to gravity in m/s^2

    Tan (bank angle) = 40^2 / (230*9.81)

    Tan (bank angle) = 0.7091

    Bank angle = tan inverse (0.7091)

    Bank angle = 35.34o
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