Q. A particle executes harmonic motion with an angular velocity and maximum acceleration of $3.5\ rad/s$ and $7.5\ m/s^{2}$ respectively. The amplitude of oscillation is
A) $0.28\ m$
B) $0.36\ m$
C) $0.53\ m$
D) $0.61\ m$
Explanation
(d) $A_{\max} = a\omega^{2} \Rightarrow a = \frac{A_{\max}}{\omega^{2}} = \frac{7.5}{(3.5)^{2}} = 0.61\ m$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.