Amplitude Formula
Before going to learn what is amplitude formula, let us recall what is amplitude. The maximum displacement of any particle of a medium, from its state or a position of equilibrium, is called the amplitude. Amplitude is represented with 'A'. In a periodic function with a bounded range, the amplitude is half the distance between the minimum and maximum values. The amplitude is a height from the centerline to the peak or to the trough. Let us learn the altitude formula along with a few solved examples.
What Is Amplitude Formula?
The sine function (or) cosine function can be expressed as, x = A sin (ωt + ϕ) (or) x = A cos (ωt + ϕ). In each of these functions, A represents the amplitude.
Here,
 y = displacement of wave (meter)
 A = amplitude
 ω = angular frequency (rad/s)
 t = time period
 ϕ = phase angle
The amplitude formula is also expressed as the average of the maximum and minimum values of the sine or cosine function. i.e.,
Amplitude = (max + min) / 2
Let us see the applications of the amplitude formula in the section below.

Example 1: y = 2sin(4t) is a wave. Find its amplitude.
Solution:
To find: Amplitude of the wave
Given: equation of wave y = 2sin(4t)Using amplitude formula,
x=A sin(ωt + ϕ)
On comparing it with the wave equation:
A = 2
ω = 4
ϕ = 0
Answer: Amplitude of the wave = 2 units.

Example 2: The equation of a wave is given by x = 10sin(5πt+π) is a wave. Find its amplitude.
Solution:
To find: The amplitude of the wave
Given: equation of wave y = 10sin(5πt + π)Now, using amplitude formula,
x=A sin(ωt + ϕ)
On comparing it with the wave equation:
A = 10
ω = 5π
ϕ = πAnswer: Amplitude of the wave = 10 units.