Question

Radius of curvature of a road is 60m. It is a to be banked so that no friction force is required for a car travelling on the road at 25 mt/sec. Find the angle of banking ?

• A. ${47}^{\circ }$
• B. ${45}^{\circ }$
• C. ${90}^{\circ }$
• D. ${180}^{\circ }$

Answer 1

Answer: (A)

${47}^{\circ }$

Given that Maximum speed for a car on a road= $25m/sec$

Radius of curvature = 60 m

Let $\theta$ be the angle of banking

$⟹\theta =ta{n}^{-1}\frac{v^2}{rg}=ta{n}^{-1}\frac{625}{60\times 10}$

$⟹\theta =ta{n}^{-1}\frac{625}{600}$

$⟹\theta =47$