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

$\inline y=A Sin(\omega t+\phi )$

where,

y is the displacement of the wave in metres

A is the amplitude of the wave in metres

$\inline \omega$ is the angular frequency given by

$\inline \omega =\frac{2\pi }{T}$

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  $\inline y= 5Sin(10\pi t-0.1\pi x)$ where x and y are in metres. Find the value of Amplitude

Given: $\inline y= 5Sin(10\pi t-0.1\pi x)$

The equation is in the form of $\inline y=A Sin(\omega t+\phi )$

Henceforth, the amplitude is A = 5.