Study Guides/Physics/Time Period Definition
Study Guide · Physics

What is Time Period? (Definition and Formula)

In Physics (specifically in the study of waves, oscillations, and circular motion), the concept of Time Period is fundamental. It tells us how long it takes for a repetitive event to happen just once.

Question (Click to Flip)

If a fan rotates at a frequency of 50 Hz, what is its time period?

Answer

Using the formula T = 1/f, the time period is 1/50 = 0.02 seconds. This means the fan completes one full rotation in just 0.02 seconds.

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Key Facts

The Time Period of the Earth's rotation around its own axis is exactly 24 hours. Its time period of revolution around the Sun is 365.25 days!

Definition

Time Period (T) is defined as the total time taken by a vibrating or oscillating object to complete one full cycle of its motion.

For example:

  • In a Pendulum: It is the time taken for the pendulum bob to swing from one side to the other and return to its exact starting point.
  • In a Wave: It is the time taken for one complete wave (one crest and one trough) to pass a given point.

Formula and Unit

  • SI Unit: Since it is a measurement of time, the SI unit of Time Period is the Second (s).
  • Symbol: It is denoted by the capital letter T.

Relationship with Frequency

Time Period and Frequency are intimately connected. They are mathematically inversely proportional to each other.

  • Frequency (f) is how many cycles happen in one second.
  • Time Period (T) is how many seconds it takes for one cycle.

Formula: T = 1 / f (or f = 1 / T)

Questions and Answers

If a fan rotates at a frequency of 50 Hz, what is its time period?+

Using the formula T = 1/f, the time period is 1/50 = **0.02 seconds**. This means the fan completes one full rotation in just 0.02 seconds.

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