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17 September, 14:36

If this speed is based on what would be safe in wet weather, estimate the radius of curvature for a curve marked 45 km/hkm/h. The coefficient of static friction of rubber on wet concrete is μs=0.7μs=0.7, the coefficient of kinetic friction of rubber on wet concrete is μk=0.5μk=0.5

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  1. 17 September, 17:48
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    r = 22.78 m

    Explanation:

    For this exercise let's use Newton's second law

    Axis y

    N - W = 0

    N = W

    X axis

    F = m a

    Where the acceleration is centripetal

    a = v² / r

    The force is the friction that the formula has

    fr = μ N

    fr = μ mg

    Let's replace

    μ m g = m v² / r

    r = v² / μ g

    Let's reduce the speed to the SI system

    v = 45 km / h (1000 m / 1 km) (1h / 3600 s) = 12.5 m / s

    r = 12.5 2 / (0.7 9.8)

    r = 22.78 m
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