Period (physics)

The period (T) is the time it takes for an oscillating system to complete one full cycle i.e. from one crest to other crest (or one trough to the other) and time taken between those two crest is called period.[1]

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It is mathematically related to frequencyː

T (time period) = 2π/f

whereː

̈f - frequency (1/Time period).̈

# Other factors

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The period of oscillation depends on system properties (mass, stiffness, length, etc.), not on amplitude (for small oscillations in SHM). If the system is non-SHM the amplitude may affect the oscillation

“In **damped motion**, the period remains approximately the same for weak damping but gets affected when damping is strong.” In forced oscillations (such as oscillation of car engine), resonance occurs when the driving frequency matches the system’s natural frequency.

In coupled oscillators, different normal modes have different characteristic periods.

## Other pages

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Wikimedia Commons has media related to Mechanical vibrations.

* SHM

* Amplitude
* Resonance

## References

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1. ↑ Morin, David (2008). Introduction to classical mechanics : with problems and solutions. Internet Archive. Cambridge, UK ; New York : Cambridge University Press. ISBN 978-0-521-87622-3. https://archive.org/details/introductiontocl00mori.

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