Amplitude Formula

What is Amplitude?

Amplitude, in physics and mathematics, is defined as the maximum extent of vibration or oscillation from an equilibrium position. It is usually associated with a wave-like sound wave, light wave, or waves within a string. Amplitude is one of the most basic concepts that need to be understood so that ideas about trigonometry, physics, and engineering can be understood well.

Definition of Amplitude: The maximum displacement of the particle of the medium from its equilibrium position is called the amplitude of a wave. The amplitude is denoted by A. 

Formula 

Amplitude Formula can be written in the following form:

where,

where,

• y is the displacement of the wave in meters 

• A is the amplitude of the wave in meters

• ω is the angular frequency which is written as

ω = 2π /T, 

where T is the time

• Φ is the phase difference

Solved Problems

Problem 1: If y = 5 sin ω t represents the wave, find the amplitude of the wave.

Solution:

Given,

y = 5 sin ω t

The equation is of the form

y = A sin ω t

Henceforward, the amplitude is A = 5.

Problem 2: The equation of a progressive wave is given by

where x and y are in meters. Find the value of the Amplitude

Solution: 

Given,

 

This equation is of the form :

Therefore, the amplitude is A = 5.

Conclusion

It is an important word that connects mathematics to physics to describe the nature of wave and oscillation phenomena. Using the amplitude formula, an in-depth understanding of wave dynamics could be achieved by the students and could also be used as a basis for more applications in other scientific and engineering disciplines.

 

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