Periodic motion

Show/Hide Sub-topics (Oscillations | A Level Physics)

Periodic motion is the regular, repetitive motion of a body which continually retraces its path at regular intervals.

Period T of a periodic motion is the time to make one complete cycle.

Frequency f of a periodic motion is the number of cycles per unit time.

$T = \frac{1}{f}$

Angular frequency $\omega$ of a periodic motion is the rate of change of angular displacement with respect to time.

$\omega \, = \, 2 \pi f \, = \, \frac{2 \pi}{T}$

Displacement $x$ of an object is the distance of the oscillating particle from its equilibrium position at any instant.

Amplitude $x_{o}$ of a periodic motion is the magnitude of the maximum displacement of the oscillating particle from the equilibrium position.

$x = x_{o} \, sin \left( t \frac{2 \pi}{T} \right)$, used when motion starts from equilibrium position.

$x = x_{o} \, cos \left( t \frac{2 \pi}{T} \right)$, used when motion starts from extreme displacement.

If motion starts at somewhere between the amplitude and equilibrium, use:

$x = x_{o} \, sin \left( t \frac{2 \pi}{T} \right) \, + \, \phi$              OR           $x = x_{o} \, cos \left( t \frac{2 \pi}{T} \right) \, + \, \phi$, where $\phi$ is the distance from equilibrium

Back To Oscillations (A Level Physics)

Back To A Level Physics Topic List

Mini Physics

As the Administrator of Mini Physics, I possess a BSc. (Hons) in Physics. I am committed to ensuring the accuracy and quality of the content on this site. If you encounter any inaccuracies or have suggestions for enhancements, I encourage you to contact us. Your support and feedback are invaluable to us. If you appreciate the resources available on this site, kindly consider recommending Mini Physics to your friends. Together, we can foster a community passionate about Physics and continuous learning.

Leave a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.