Question

a car 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 @.​

Answer 1

`@=17.32^(\circ)`

Step-by-step 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 :

`tan@=(v^2)/(rg)`

`tan@=((35\ m/s)^2)/(400\ m* 9.8\ m/s^2)`

`tan@=0.312`

`@=17.32^(\circ)`

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