. What is the maximum constant speed with which a car can round a circular turn of radius 80.0 m ona flat road if the coefficient of static

Question

. What is the maximum constant speed with which a car can round a circular turn of radius 80.0 m ona flat road if the coefficient of static friction between tires and road isμs= 0.55

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Philomena 3 years 2021-09-05T02:19:32+00:00 1 Answers 10 views 0

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  1. minhkhue
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    2021-09-05T02:21:25+00:00
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    Answer:

    Maximum constant speed with which a car can round is 20.76 m/s.

    Explanation:

    We know, for car to be move on flat road without slipping its  centripetal force should not exceed static friction.

    Therefore, maximum value of friction must be equal to centripetal force.

    Therefore, \dfrac{mv^2}{r}=\mu_smg

    Now, putting all given values and g = 9.8 \ m/s^2.

    We get , \dfrac{v^2}{80}=0.55\times 9.8\\\\v^2=0.55 \times 9.8\times 80\\v=20.76\ m/s.

    Hence, this is the required solution.

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