Question

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. $5.65m ⥂ / ⥂ s$ and $5.32 \times 10^{2}m ⥂ / ⥂ s^{2}$
• B. $6.82m ⥂ / ⥂ s$ and $7.62 \times 10^{2}m ⥂ / ⥂ s^{2}$
• C. $8.91m ⥂ / ⥂ s$ and $8.21 \times 10^{2}m ⥂ / ⥂ s^{2}$
• D. $9.82m ⥂ / ⥂ s$ and $9.03 \times 10^{2}m ⥂ / ⥂ s^{2}$

Answer 1

Answer: (A)

$5.65m ⥂ / ⥂ s$ and $5.32 \times 10^{2}m ⥂ / ⥂ s^{2}$

Answer 2

Velocity$v = a\omega = a \times 2\pi\mspace{6mu} n$

$= 0.06 \times 2\pi \times 15 = 5.65\mspace{6mu} m/s$

Acceleration $A = \omega^{2}a = 4\pi^{2}n^{2}a = 5.32 \times 10^{2}m/s^{2}$