Question #144699
3. If the coefficient of friction between tires and roadway is 0.40, what is the minimum radius at which a car can turn on a horizontal road when its speed is 43.75 ft/s?
1
Expert's answer
2020-11-17T13:03:31-0500

The force of friction defines the centripetal acceleration the car can withstand:


μmg=mac, μmg=mv2R, R=v2μg=149 ft.\mu mg=ma_c,\\\space\\ \mu mg=m\frac{v^2}{R},\\\space\\ R=\frac{v^2}{\mu g}=149\text{ ft}.

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