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What is meant by amplitude of vibration?

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Hint:We will start answering this question by directly stating what is meant by amplitude of vibration. We will also state an equation based on the same. Later we will discuss in brief about vibrations, so that you have a better idea about amplitude of vibration.

Complete answer:
The largest displacement of the wave from its mean position is called amplitude. It refers to the magnitude or strength of a change in wave position. The greatest displacement or amplitude of a wave is calculated using the wave's mean or equilibrium location.

It can also be said that the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position is called amplitude in physics. It is equal to one-half of the vibration path's length.It is represented by the equation:
\[y = Asin(\omega t - kx)\]
Where $y$ and $x$ are displacements. $A$ is amplitude, \[\omega \] is angular frequency, $t$ is time and $k$ is propagation constant.

Additional information: Let us see what a vibration is: Vibration is a mechanical phenomenon that causes oscillations around a fixed point. The word vibration is derived from the Latin vibrationem. The oscillations can be periodic, like those of a pendulum, or random, like those of a tire on a gravel road.

Note:Many students have a misconception that the source of the wave's amplitude is some external source. It is wrong. In fact the sound wave's amplitude is itself the source of the wave's amplitude. Also ,higher the amplitude, the more energy is required to form the sound wave, and hence the sound will be louder. Example: When a thin metal surface is struck, the particle vibrates with greater amplitude, making the sound louder.