Question

The equation of a simple harmonic motion is $x=0.34\cos (3000t+0.74)$ , where $x$ and $t$ are in mm and sec respectively. The frequency of the motion is :

• A. $3000$
• B. $3000/2\pi$
• C. $0.74/2\pi$
• D. $3000/\pi$

Answer 1

Answer: (B)

$3000/2\pi$

Equation of simple harmonic motion is given by

$x=A\sin (\omega t+\varphi )$

Given equation$,$ $x=0.34\cos (3000t+0.74)$

here $\omega =3000$

Frequency$=\frac{\omega }{2\pi }$

$f=\frac{3000}{2\pi }$.