A section of a high speed test track is circular with a radius of curvature R = 1860 m.

At what angle of θ should the track be inclined so that a car traveling at 61.0 m/s (136 mph) would keep moving in a circle if there is oil on that section of the track, i.e., it would not slip sideways even with zero friction on that section. (Hint: The car's vertical acceleration is zero)

A section of a high speed test track is circular with a radius of curvature R 1860 mAt what angle of θ should the track be inclined so that a car traveling at 6 class=

Respuesta :

From the calculation, the banking angle is obtained as 11.5°.

What is the banking angle?

The banking angle refers to the angle at which the vehicle must be inclined so that it does not skid off the road.

Now we have;

θ = ?

v =  61.0 m/s

r = 1860 m

g = 9.8 m/s^2

θ = tan-1(61^2/ 1860 * 9.8)

θ = tan-1(3721)/18228

θ = 11.5°

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