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Amplitude of a Wave

$A = y/sin(kx+omegat+phi)$

$(y)" Displacement"$

$(x)" Distance along the wave"$

$(k)" Wave Length"$

$(w)" Angular Frequency"$

$(t)" Period"$

$(phi)" Phase Angle"$

Tags

The Amplitude of a wave equation computes the amplitude of a wave using the wave number(k), displacement of the wave(x), the angular frequency( $omega$ ), the time passed(t), and the phase angle( $phi$ ).

INSTRUCTIONS: Choose units and enter the following:

(y) Wave Displacement
(x) Wave Distance
(k) Wave Number (in rad/m)
(w) Angular Frequency
(t) Time
(p) Phase Constant

Amplitude(A): The calculator returns amplitude(A) in meters. However, this can be automatically converted to other amplitude units via the pull-down menu.

The Math / Science

This equation comes from the basic wave equation:

$y(x,t) = Asin(kx+wt+phi)$

where,

y(x,t) are the parameters of the wave
A is the amplitude
k is the wave number
x is the wave distance
w is the angular frequency
t is the time passed
$phi$ is the phase angle.

Some simple Algebra allows us to gain the equation that you see at the top of the page:

$A = y/sin(kx+wt+phi)$

Notes:

Please enter the wave number in the units of radians-per-meter as it won't compute properly in different units.

References:

Light and Matter Chapter 17: Vibrations