Q. A body is vibrating in simple harmonic motion with an amplitude of $0.06\ m$ and frequency of $15\ Hz.$ The velocity and acceleration of body is
A) $5.65\ m/s\ $ and $5.32 \times 10^{2}m/s^{2}$
B) $6.82\ m/s$ and $7.62 \times 10^{2}m/s^{2}$
C) $8.91\ m/s$ and $8.21 \times 10^{2}m/s^{2}$
D) $9.82\ \ m/s$ and $9.03 \times 10^{2}m/s^{2}$
Explanation
(a) Velocity $v = a\omega = a \times 2\pi\ n$
$= 0.06 \times 2\pi \times 15 = 5.65\ m/s$
Acceleration $A = \omega^{2}a = 4\pi^{2}n^{2}a = 5.32 \times 10^{2}m/s^{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.