Assertion : As the frictional force increases, the safe velocity … - Vidyadip

Question

Assertion : As the frictional force increases, the safe velocity limit for taking a turn on an unbanked road also increases.
Reason : Banking of roads will increase the value of limiting velocity.

✓

Answer

(b) On an unbanked road, friction provides the necessary centripetal force $\frac{m v^2}{r}=\mu m g \quad \therefore v=\sqrt{\mu r g}$.Thus with increase in friction, safe velocity limit also increases.When the road is banked with angle of $\theta$ then its limiting velocity is given by $v=\sqrt{\frac{r g(\tan \theta+\mu)}{1-\mu \tan \theta}}$.\text { Thus limiting velocity increase with banking of road. }

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