On which road do we get maximum speed: a circ | vedclass

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(B) The maximum safe speed on a level circular road is given by $v_{max} = \sqrt{\mu R g}$,where $\mu$ is the coefficient of friction,$R$ is the radiu

Vedclass · Accepted Answer

Circular road with slope (banked road)

Vedclass · Answer

(B) The maximum safe speed on a level circular road is given by $v_{max} = \sqrt{\mu R g}$,where $\mu$ is the coefficient of friction,$R$ is the radius,and $g$ is the acceleration due to gravity.On a banked road (circular road with slope $	heta$),the maximum speed is given by $v_{max} = \sqrt{Rg \left( \frac{\mu + 	an 	heta}{1 - \mu 	an 	heta} ight)}$.Since $	an 	heta > 0$,the term $\left( \frac{\mu + 	an 	heta}{1 - \mu 	an 	heta} ight)$ is greater than $\mu$.Therefore,a circular road with a slope (banked road) allows for a higher maximum speed compared to a level circular road.

On which road do we get maximum speed: a circular road with a slope (banked road) or a level circular road?

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