An engineer wants to design an oval racetrack such that 3.20×103 lb3.20×103 lb racecars can round the exactly 1000 ft1000 ft radius turns at 95 mi/h95 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h.175 mi/h.
Find the banking angle ?θ necessary for the race cars to navigate the turns at 95 mi/h95 mi/h without the aid of friction.
This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20×103 lb3.20×103 lb stock cars travel around the turns at about 175 mi/h.175 mi/h.
What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi/h?
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