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

To calculate the maximum tangential acceleration that the car can have without sliding, we need to consider the maximum friction force that the tires can exert. However, the mass of the car is not given in the question, so we cannot calculate the maximum tangential acceleration without knowing the mass of the car.

Step-by-step explanation:

To calculate the maximum tangential acceleration that the car can have without sliding, we need to consider the maximum friction force that the tires can exert. In this case, the maximum friction force is given as 2510 lb. We can convert this force to Newtons using the conversion factor of 1 lb = 4.44822 N.

Therefore, the maximum friction force is 2510 lb * 4.44822 N/lb = 11180 N.

To calculate the maximum tangential acceleration, we can use the formula:

Maximum tangential acceleration = maximum friction force / mass of the car

However, the mass of the car is not given in the question, so we cannot calculate the maximum tangential acceleration without knowing the mass of the car.