Period of a Wave

Calculate Period of a Wave

Wave period (Pd) can be calculated by using the time graph of a wave. If we have wave frequency, the wave Pd can be calculated by calculating the reciprocal of frequency. It is due to the fact that the formula for wave Pd is as below:
T= 1/f
Wave frequency is measurement of number of cycles occurring in a given time or unit time. It measures number of periodic events or vibrational cycles of a wave that occur in a unit time. By knowing the wave frequency, one can easily calculate the wave Pd using above equation.

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Define Period of a Wave

If we consider a wave as a series of alternate maxima and minima’s, wave Pd is defined as time interval between two consecutive minima or maxima of the wave. Wave Pd measures time taken by a complete cycle of a wave to pass through a particular point. Wave Pd is measured in units of time.

Equation for Period of a Wave

Wave Pd is concerned with time taken by one complete vibration cycle of a wave to pass through a particular point. It is expressed by following equation:
Wave period= 1/ frequency or Frequency-1
From the above equation, one can deduce that wave Pd is related to wave frequency. Hence with increasing speed of wave, wave period decreases as it takes lesser time to pass through the reference point.
Unit of wave period is second/cycle.

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What is Wave Period

As we know that wave is the form of energy that has ability to travel from one point to other. Hence it is basically the disturbance from resting state. The wave is produced by repeating vibrations in the medium. For example if we talk about a rope that is being hold at two ends and is made to move in spiral motion. Here we produce repeated vibrations in the rope and the wave is produced. Wave Pd is concerned with time taken by a particle to complete one vibrational cycle. In case of wave, vibrations are repeatedly produced i.e. it is a periodic event. Hence wave Pd measures time taken to complete one cycle. It is a time quantity and hence it measured in units of time. The units of wave Pd are second/cycle or hrs/cycle or min/cycle. Wave Pd is symbolised by “T” and is calculated by using following formula:
T=1/f
Here
T= wave Pd
f= frequency