Q. The centripetal acceleration of a body moving in a circle of radius 100 m with a time period of 2 s will be
A) $98.5\ {ms\ }^{- 2}$
B) $198.5\ {ms\ }^{- 2}$
C) $49.29\ {ms\ }^{- 2}$
D) $985.9\ {ms\ }^{- 2}$
Explanation
(d) Centripetal acceleration, $a = \omega^{2}r$
$= 4\pi^{2}n^{2}r = 4\pi^{2}\left( \frac{1}{2} \right)^{2} \times 100$
$\pi^{2} \times 100{ms}^{- 2} = 985.9{ms}^{- 2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.