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

Answer:

$@=17.32^{\circ}$

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 :

$tan@=\dfrac{v^2}{rg}$

$tan@=\dfrac{(35\ m/s)^2}{400\ m\times 9.8\ m/s^2}$

$tan@=0.312$

$@=17.32^{\circ}$

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