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14 May, 19:28

A 1500 kg car rounds a horizontal curve with a radius of 52 m at a speed of 12 m/s. what minimum coefficient of friction must exist between the road and tires to prevent the car from slipping?

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  1. 14 May, 19:43
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    The minimum coefficient of friction must exist between the road and tires to prevent the car from slipping is μ = 0.28

    Explanation:

    m = 1500 kg

    r = 52m

    Vt = 12m/s

    g = 9.8 m/s²

    Vt = ω * r

    ω = Vt/r

    ω = 0.23 rad/s

    ac = ω² * r

    ac = 2.77 m/s²

    Fr = m * ac

    Fr = 4153.84 N

    W = m*g

    W = 14700 N

    Fr = μ * W

    μ = Fr/W

    μ=0.28
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