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23 Nov 2019

Consider a car traveling along a banked turn. Sometimes roads have a "reversed" banking angle. That is, the road is tilted "away" from the center of curvature of the road. If the coefficient of static friction between the tires and the road is 0.50, the radius of curvature is 15 m, and the banking angle is 10 degree, what is the maximum speed at which a car can safely navigate such a turn?

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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute the uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle And radius of curvature 150m. If the coefficient of static friction between the car's tires and the road is What is the range of speed for which the car can safely negotiate the turn without slipping?

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Banked curves are designed so that the radial component of the normal force on the car rounding the curve provides the centripetal force required to execute uniform circular motion and safely negotiate the curve. A car rounds a banked curve with banking angle θ = 22.0° and radius of curvature 150 m. a. If the coefficient of static friction between the car’s tires and the road is μs = 0.400, what is the range of speeds for which the car can safely negotiate the turn without slipping? b. What is the minimum value of μs for which the car’s minimum safe speed is zero? Note that friction points up the incline here.



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