An engineer wants to design an oval racetrack such that  3.20 × 10 3  lb  racecars can round the exactly  1000  ft  radius turns at  102  mi/h  without the aid of friction. She estimates that the cars will round the turns at a maximum of  175  mi/h.

Find the banking angle  ????  necessary for the race cars to navigate the turns at  102  mi/h  without the aid of friction. This banking and radius are very close to the actual turn data at Daytona International Speedway, where  3.20 × 10 3  lb stock cars travel around the turns at about  175  mi/h.

What additional radial force is necessary to prevent a race car from drifting on the curve at  175  mi/h?