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

\(y=Asin(\omega t+\phi )\)

where,

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

\(\omega =\frac{2\pi }{t}\)

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

Given: \(y=5\sin (10\pi t-0.1\pi x)\)


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

Henceforth, the amplitude is A = 5.

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