The cornering performance of an automobile is evaluated on a skid pad, where the maximum speed that a car can maintain around a circular pat

Question

The cornering performance of an automobile is evaluated on a skid pad, where the maximum speed that a car can maintain around a circular path on a dry, flat surface is measured. Then the centripetal acceleration, also called the lateral acceleration, is calculated as a multiple of the free-fall acceleration g. The main factors affecting the performance of the car are its tire characteristics and suspension system. A Dodge Viper GTS can negotiate a skid pad of radius 61.0 m at 86.5 km/h. Calculate its maximum lateral acceleration.

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Lệ Thu 5 years 2021-09-05T05:35:48+00:00 1 Answers 263 views 0

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    2021-09-05T05:37:34+00:00

    Answer:

    0.04g

    Explanation:

    Since it lateral acceleration is is its centripetal acceleration, the centripetal acceleration, a is given by

    a = v²/r where v = speed of Dodge Viper GTS= 86.5 km/h = 86.5 × 1000 m/3600 s = 24.03 m/s and r = radius of skid pad = 61.0 m.

    So, a = v²/r

    = 24.028 m/s ÷ 61.0 m

    = 0.394 m/s²

    So, its maximum lateral acceleration is 0.394 m/s². Since g = acceleration due to gravity = 9.8 m/s²

    a/g = 0.394 m/s² ÷ 9.8 m/s² = 0.04

    So, a = 0.0402g

    a ≅ 0.04g

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