1. Tardigrade
  2. Question
  3. Physics
  4. The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

Oscillations

Solution:

Let $y=A \sin \omega t$
$\frac{d y}{d t}=A \omega \cos \omega t=A \omega \sin \left(\omega t+\frac{\pi}{2}\right)$
Acceleration $=-A \omega^{2} \sin \omega t$
The phase difference between acceleration and velocity is $\pi / 2$.