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Answer: \(\tan\theta = \dfrac{v^2}{rg}\)

Here \(\theta\) is the angle of banking, \(v\) the speed of the vehicle, \(r\) the radius of the curve and \(g\) the acceleration due to gravity (friction neglected). This is the angle at which no friction is needed for the vehicle to take the curve at speed \(v\).

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report
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