Q. The angle which the bicycle and its rider must make with the vertical when going round a curve of 7 m radius at 5 $ms^{- 1}$ is
A) 20${^\circ}$
B) 15${^\circ}$
C) 10${^\circ}$
D) 5${^\circ}$
Explanation
(a) Here, $r = 7\ m,v = 5\ ms^{- 1},\theta = ?$
$\tan\theta = \frac{v^{2}}{rg} = \frac{5 \times 5}{7 \times 9.8} = 0.364$
$\theta = \tan^{- 1}{(0.364) = 20{^\circ}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.