Question

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?

Answer #1

6. A device for acclimating military pilots to the high
accelerations they must experience consists of a horizontal beam
that rotates horizontally about one end while the pilot is seated
at the other end. In order to achieve a radial acceleration of 35.1
m/s2 with a beam of length 5.39 m, what rotation frequency is
required?
? Hz
7. You want to design an oval racetrack such that 3200 lb
racecars can round the turns of radius 1000 ft at...

An engineer wants to design a circular racetrack of radius R
such that cars of mass M can go around the track at speed U without
the aid of friction or other forces other than the perpendicular
contact force from the track surface.
Find an expression for the required banking angle θ of the
track, measured from the horizontal. Express the answer in terms of
M, R, U, and g.
Suppose the race cars actually round the track at a...

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