Question

The displacement of a particle in S.H.M. is indicated by equation $y=10sin(20t+\pi /3)$ where $y$ is in metres. The value of time period of vibration will be (in seconds):

• A. $10/\pi$
• B. $\pi /10$
• C. $2\pi /10$
• D. $10/\pi 2$

Answer 1

The correct option is B $\pi /10$

$y=10\sin (20t+\frac{\pi }{3})$

Comparing with below equation,

$y=A\sin (\omega t+\varphi )$ where $\omega =$angular velocity=20

Time period $T=\frac{2\pi }{\omega }=\frac{2\pi }{\omega }=\frac{\pi }{10}$