The tangent of the proper banking angle of the road for a car making a turn

The tangent of the proper banking angle θ of the road for a car making a turn is directly proportional to the square of the car’s velocity v and inversely proportional to the radius r of the turn. If 7.75° is the proper banking angle for a car traveling at 20.0 m/s around a turn of radius 300 m, what is the proper banking angle for a car traveling at 30.0 m/s around a turn of radius 250 m? See Fig. 18.9.

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0 Fig. 18.9