The coefficient of friction between the rubber tyres and the roadway is 0.25. Find the maximum speed with which a car can be driven
round a curve of radius 20m without skidding
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Given
coefficient of friction between the rubber tyres and the roadway = 0.25.
Radius of the curve = 20m
To Find:
Maximum speed with which a car can be driven
Solution:
Assuming g = 10ms−2
Centripetal Force = Frictional Force
Thus, mv²/r = umg or
v = √urg
v = √ 0.25 × 40 × 10
v = √ 100
v = 10
Answer: The maximum speed will be 10m/s
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