Acar travel a bend of radius 400m on a road which is banked at an angle @ to the horizontal. if the car has no tendency to slip when traveling at 35 m/s, find @.

Explanation:

It is given that,

Radius of the banked road, r = 400 m

Speed of the car for the safe travelling, v = 35 m/s

On the banking of a curve, the force of friction is balanced by the centripetal force acting on it such that the banking angle is given by :

So, the banking angle of the road is 17.32 degrees. Hence, this is the required solution.

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