Amplitude Formula

About Amplitude Formula

Let us first define amplitude before learning about the amplitude formula. The largest displacement of any particle in a medium from its state or equilibria

Let us first define amplitude before learning about the amplitude formula. The largest displacement of any particle in a medium from its state or equilibrium location is amplitude. The letter 'A' stands for amplitude. A bounded-range periodic function's amplitude is half the distance between its minimum and maximum values. The distance between the centerline and the peak or trough is the amplitude. Let's look at the amplitude formula and solve a few cases.

What is Amplitude Formula?

A variable's amplitude is the largest deviation from its mean value. The sine and cosine functions can be calculated using the amplitude formula. The letter A is used to denote amplitude. The sine (or cosine) function is defined as follows:

x = A sin (ωt + ?)

or

x = A cos (ωt + ?)

Here, x = displacement of the wave (meter), A = amplitude of wave

ω = angular frequency (rad/s) of wave, t = time period of wave

? = phase angle

The amplitude formula is also known as the average of the sine or cosine function's maximum and minimum values. The absolute amplitude value is always used.

Amplitude = (max + min) / 2

Solved examples of Amplitude Formula

Example 1:y = 2sin(4t) is a wave. Find its amplitude.

Solution:

Given that equation of wave y = 2sin(4t)

By using amplitude formula,

x = A sin(ωt + ?)

by comparing with wave equation:

A = 2

ω = 4

? = 0

Hence, the amplitude of a wave is 2 units.

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