Amplitude Formula

The amplitude of a wave is the maximum displacement of the particle of the medium from its equilibrium position. It is represented by A. The Amplitude formula can be written as

Amplitude formula

where,

y is the displacement of the wave in meters

A is the amplitude of the wave in meters

 is the angular frequency given by

Angular frequency

Φ is the phase difference

Amplitude Solved Examples

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

Henceforth, the amplitude is A = 5.

Problem 2: The equation of a progressive wave is given by  equation of displacement where x and y are in meters. Find the value of Amplitude

Given: 

The equation is in the form of 

Henceforth, the amplitude is A = 5.

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