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Question

A car is moving on a circular level road of radius 300 m. If the coefficient of static friction is 0.3, maximum safe speed (in km/h) of the car can be

[Take g=10 m/s2]

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Solution

Given radius of circular level road, r=300 m
Coefficient of static friction, μ=0.3
For maximum safe speed, friction will act at its limiting value to provide necessary centripetal force and prevent skidding of car.
f=mv2r
μmg=mv2r
v=μrg
v=0.3×300×10
v=30 m/s=30×185=108 km/h
[1 m/s=185 km/h]
Maximum safe speed of the car is 108 km/h.

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