Posted by **J** on Saturday, February 12, 2011 at 12:38pm.

A high-speed test track for cars has a curved

section — an arc of a circle of radius R =

1440 m. The curved section is banked at

angle a = 19.1 degrees from the horizontal to help

the cars to stay in the road while moving at

high speeds.

The acceleration of gravity is 9.8 m/s^2 .

One day, oil spills on the track making a

few meters of the curved section frictionless.

Calculate the speed v of a car which can cross

the oil spill of the curve without slipping sideways.

Correct answer: 69.9051 m/s.

I'm supposed to figure out how they got this answer in order to apply this concept to a similar problem but I'm unsure as of how to do it.

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