pezmachine9000
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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 m At what angle of θ should the track be inclined so that a car traveling at class=

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onyebuchinnaji

The banking angle of curved road to allow to move without slipping is 11.53 ⁰.

Banking angle of curved road

The banking angle of curved road is calculated as follows;

V(max) = √(rg tanθ)

where;

  • r is radius of the curve
  • g is acceleration due to gravity

V² = rg tanθ

tanθ = V²/rg

tanθ = (61²)/(1860 x 9.8)

tanθ = 0.204

θ = arc tan(0.204)

θ = 11.53 ⁰

Thus, the banking angle of curved road to allow to move without slipping is 11.53 ⁰.

Learn more about banking angle here: https://brainly.com/question/8169892

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