# 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

$$\begin{array}{l}y=Asin(\omega t+\phi )\end{array}$$

where,

y is the displacement of the wave in meters

A is the amplitude of the wave in meters

Ï‰Â is the angular frequency given by

$$\begin{array}{l}\omega =\frac{2\pi }{t}\end{array}$$

Î¦ is the phase difference

## Amplitude Solved Examples

Problem 1:Â If y = 5 sinÂ Ï‰Â t represents the wave, find the amplitude of the wave.
Solution:

Given: y = 5 sinÂ Ï‰Â t
The equation is of the form

y = A sinÂ Ï‰Â t

Henceforth, the amplitude is A = 5.

Problem 2: The equation of a progressive wave is given byÂ

$$\begin{array}{l}y=5\sin (10\pi t-0.1\pi x)\end{array}$$
Â where x and y areÂ 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.