An engineer wants to design an oval racetrack such that 3.20 x 10³ lb racecars can round the exactly 1000 ft radius turns at 104 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 104 mi/h without the aid of friction. 0= This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 x 10³ 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? radial force: N

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An engineer wants to design an oval racetrack such that
3.20 x 10³ lb racecars can round the exactly 1000 ft radius
turns at 104 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 104 mi/h without the aid of friction.
0 =
This banking and radius are very close to the actual turn data
at Daytona International Speedway, where 3.20 x 10³ 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?
radial force:
N
Transcribed Image Text:An engineer wants to design an oval racetrack such that 3.20 x 10³ lb racecars can round the exactly 1000 ft radius turns at 104 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 104 mi/h without the aid of friction. 0 = This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 x 10³ 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? radial force: N
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