Solve the all parts of following problem given below:
Problem: You want to design an oval racetrack such that 3200 lb racecars can round the turns of radius 1000 ft at 103 mi/h without the aid of friction. You estimate that when elements like down force and grip in the tires are considered the cars will round the turns at a maximum of 175 mi/h.
Part A: Find the banking angle necessary for the racecars to navigate these turns at 103 mi/h and without the aid of friction or other forces.
Part B: This banking and radius are very close to the actual turn data at Daytona International Speedway where 3200 lb stock cars travel around the turns at about 175 mi/h. What additional radial force is necessary to hold the racecar on the track at 175 mi/h?
I need help to calculate the banking angle necessary for the racecars.