Question

The Daytona International Speedway in Daytona Beach, Florida is famous for its races, especially the Daytona 500, held every spring. Both of its courses features four-story, 45 degrees banked curves, with maximum radius of 500 m. If a racing car of mass 600 kgs negotiates the curve too slowly, it tends to slip down the inclined of the turn. Whereas if it’s going too fast, it may begin to slide up the incline.

1. Draw free body diagram to represent all the forces acting on the car while it is moving on the above circle.

2. What is the centripetal acceleration of the car?

3. Find the necessary centripetal force on this banked curve so the car won’t slip down or slide up the incline.

                                          

                             

                                                                                                      

4. What is the magnitude of the maximum speed of the car that would allow it to travel safely around the above racetrack?        

5. If the bank angle of the race track becomes zero but radius of the track and mass of the car to be remained same, what changes has to be made to the race track in order to drive this car at the above speed? You don’t have to do any calculations to answer this part just explain briefly.

Answer 1