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Q.

A circular racetrack of radius 300 m is banked at an angle of 15o. The coefficient of friction between the wheels of a race car and the road is 0.2. The optimum speed of the race car to avoid wear and tear on its tyres is (Take tan 15°=0.27, g=10 m s-2). 

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a

103 m s-1

b

910 m s-1

c

10 m s-1

d

210 m s-1

answer is B.

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Detailed Solution

Here, R=300 m, θ=15°, g=10 m s-2, μ=0.2

The optimum speed of the car to avoid wear and tear is given by

v=Rgtanθ   =300×10×tan 15°   =810   =910 m s-1

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