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Question

A circular race-car track of radius 300 m is banked at an angle of 15. If the coefficient of static friction between the wheels of the race-car and the road is 0.2, what is the maximum permissible speed to avoid slipping? Take tan15=0.27, g=10 m/s2.

A
48 m/s
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B
30 m/s
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C
17 m/s
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D
38.60 m/s
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Solution

The correct option is D 38.60 m/s
Here, r=300 m,θ=15,g=10 m/s2 and μs=0.2
The maximum permissible speed to avoid slipping vmax is given by:
vmax= (rg(μs+tanθ)1μstanθ)
vmax= (300×10×(0.2+0.27)1(0.2)(0.27))
vmax=38.60 m/s

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