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
\(\begin{array}{l}y=Asin(\omega t+\phi )\end{array} \)
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
\(\begin{array}{l}\omega =\frac{2\pi }{t}\end{array} \)
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.
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 byÂ
\(\begin{array}{l}y=5\sin (10\pi t-0.1\pi x)\end{array} \)
 where x and y are in meters. Find the value of Amplitude
Given:Â
\(\begin{array}{l}y=5\sin (10\pi t-0.1\pi x)\end{array} \)
The equation is in the form ofÂ
\(\begin{array}{l}y=A\sin(\omega t+\phi )\end{array} \)
Henceforth, the amplitude is A = 5.
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