Question

You want to design an oval racetrack such that 3200 lb racecars can round the turns of radius 1000 ft at 99 mi/h without the aid of friction. You estimate that when elements like downforce and grip in the tires are considered the cars will round the turns at a maximum of 175 mi/h. Find the banking angle necessary for the racecars to navigate these turns at 99 mi/h and without the aid friction or other forces.