Q. On an unbanked road, a cyclist negotiating a bend of radius $r\ $at velocity $v$ leans inwards by an angle
A) $\tan^{- 1}\left( \frac{v^{2}}{2gr} \right)$
B) $\tan^{- 1}\left( \frac{v^{2}}{gr} \right)$
C) $\tan^{- 1}\left( \frac{rg}{v^{2}} \right)$
D) $\tan^{- 1}\left( \frac{v}{gr} \right)$
Explanation
(b) tan$\ \theta = \frac{v^{2}}{rg}$ or $\theta = \tan^{- 1}\left( \frac{v^{2}}{rg} \right)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.