Solveeit Logo

Question

Question: The equation of a simple harmonic motion is \(X = 0.34\cos(3000t + 0.74)\) where X and t are in mm ...

The equation of a simple harmonic motion is

X=0.34cos(3000t+0.74)X = 0.34\cos(3000t + 0.74) where X and t are in mm and sec. The frequency of motion is

A

3000

B

3000/2π3000 ⥂ / ⥂ 2\pi

C

0.74/2π0.74 ⥂ / ⥂ 2\pi

D

3000/π3000 ⥂ / ⥂ \pi

Answer

3000/2π3000 ⥂ / ⥂ 2\pi

Explanation

Solution

From given equation ω=3000,\omega = 3000,n=ω2π=30002πn = \frac{\omega}{2\pi} = \frac{3000}{2\pi}