Question

Suppose that the tires are capable of exerting a maximum friction force of 2510 lb . If the car is traveling at 76.5 ft/s and the curvature of the road is rho = 470 ft , what is the maximum tangential acceleration that the car can have without sliding?

Answer 1

Explanation:

Maximum friction force acting on the tire, F = 2510 lb

Speed of the car, v = 76.5 ft/s

Radius of curvature of the road, r = 470 ft

We need to find the maximum tangential acceleration that the car can have without sliding. It is given by :

$a=\dfrac{v^2}{r}$

$a=\dfrac{(76.5)^2}{470}$

$a=12.45\ ft/s^2$

So, the maximum acceleration of the car is $12.45\ ft/s^2$. Hence, this is the required solution.