Question:medium

A circular path of radius 75 m is banked at an angle of \(\tan^{-1}(0.2)\). If the coefficient of static friction between the tyres of the car and the circular path is 0.1, then the maximum permissible speed of the car to avoid slipping is

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The formula for maximum speed on a banked curve with friction is \(v_{max} = \sqrt{rg \frac{\mu_s + \tan\theta}{1 - \mu_s \tan\theta}}\). The formula for the minimum speed to prevent sliding down is \(v_{min} = \sqrt{rg \frac{\tan\theta - \mu_s}{1 + \mu_s \tan\theta}}\). Note the sign changes.

Updated On: Mar 30, 2026

10 ms\(^{-1}\)
20 ms\(^{-1}\)
15 ms\(^{-1}\)
30 ms\(^{-1}\)

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The Correct Option is C

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