Banking Of Road MCQ - Practice Questions & Answers

Concepts Covered - 1

Banking of Road

Without friction

From figure

$R\cos\theta=mg$ (i)

$R\sin\theta=\frac{mv^{2}}{r}$ (ii)

$tan\theta=\frac{v^{2}}{rg}$

$tan\theta=\frac{\omega^{2}r}{g}=\frac{V\omega}{g}=\frac{h}{l}$

h = height of outer edge from the ground level

$l=$ width of the road

r = radius

If friction is also present

$\frac{V^{2}}{rg}=\frac{\mu+tan\theta}{1-\mu tan \theta}$

Where $\theta=$ angle of banking

$\mu=$ coefficient of friction

V = velocity

Maximum speed on a banked frictional road

$V=\sqrt{\frac{rg(\mu+tan\theta)}{1-\mu tan\theta}}$

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Banking Of Road - Practice Questions & MCQ

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