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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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Physics
5 years
2021-09-05T05:35:48+00:00
2021-09-05T05:35:48+00:00 1 Answers
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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