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. 5.65$m/s$ 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 $9.03\times {10}^{2}m/s^2$

Answer 1

The correct option is A 5.65$m/s$ and $5.32\times {10}^{2}m/s^2$

Given:

The amplitude of oscillation is $a=0.06m$

The frequency of SHM is $f=15Hz$

The velocity of oscillation of the particle is:

$v=a\omega$

$=a\times 2\pi n$

$=0.06\times 2\pi \times 15=5.65m/s$

The acceleration of the particle is given by:

Acceleration $A={\omega }^{2}a$

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