Flat Curves Practice Problems
An automobile of mass 1200 kg travels at 14 m/s around a flat curve with a radius of 50 m. What is the bare minimum coefficient of friction that the tires must have with the ground in order for the car to turn?
A truck with a mass of 2600 kg is driving on a horizontal unbanked curve with a radius of 38 meters at a constant speed of 18 m/s. What is the magnitude of the force of friction acting on the truck that is required to keep it moving in a circular path?
A race car driver is able to take a sharp turn on a dry, unbanked road at a maximum speed of 75 km/h. However, due to unexpected rainfall, the coefficient of static friction is reduced by 70%. What is the maximum speed at which the race car can take the same turn on a rainy day without skidding off the road? Assume that the conditions of the road are identical except for the change in the coefficient of static friction.