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

\(\begin{array}{l}y=Asin(\omega t+\phi )\end{array} \)


y is the displacement of the wave in meters

A is the amplitude of the wave in meters

ω is the angular frequency given by

\(\begin{array}{l}\omega =\frac{2\pi }{t}\end{array} \)

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.

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 

\(\begin{array}{l}y=5\sin (10\pi t-0.1\pi x)\end{array} \)
 where x and y are in meters. Find the value of Amplitude


\(\begin{array}{l}y=5\sin (10\pi t-0.1\pi x)\end{array} \)

The equation is in the form of 
\(\begin{array}{l}y=A\sin(\omega t+\phi )\end{array} \)

Henceforth, the amplitude is A = 5.


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