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2. Engineers want to design a turn in a road so that traffic can go at...

2. Engineers want to design a turn in a road so that traffic can go at the same speed in both directions. Meaning, traffic on the inside lane (sharper turn) will move at the same speed as traffic on the outside lane (wider turn). What can they do to make this happen? Explain.

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Answer #1

For designing such a road where the speed on the outer road with a larger radius may be the same as the speed on the road with a smaller radius , the frictional force which supplies the centripetal force on the outer road must be smaller than that on the latter. This can be arranged by providing the outer road with a smaller coefficient of friction than the inner road. This can be understood from the relation for the centripetal force: where fk is the frictional force.

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