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 in Hz is:

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 in Hz is: (A)  3000  (B)  (3000/2π )  (C)  (0.74/2π )  (D)  (3000/π )

Tardigrade Admin · Accepted Answer

Here, ω =3000 ⇒ f=(3000/2π )Hz

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

$3000$

$\frac{3000}{2 π}$

$\frac{0.74}{2 π}$

$\frac{3000}{π}$

$\frac{3000}{t}$

Here, $ω = 3000$ $\Rightarrow$ $f = \frac{3000}{2 π} Hz$

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

3000

2π3000​

2π0.74​

π3000​

t3000​

Here, ω=3000 ⇒ f=2π3000​Hz