## Amplitude Formula :

Amplitude Formula is the displacement of the wave Y_{(m)} in meter is equal to the amplitude of the wave A _{(m)} in meter and multiply the sin theta and multiply the angular frequency ω_{(rad/s-1)} radians per second and multiply the time t_{(S)} in second and addition is the phase difference φ.Hence the Amplitude Formula can be written as,

**Y _{(m)}=A _{(m)}*sin (ω_{(rad/s-1)}* t_{(S)}+φ)**

Where,

Y→ displacement of the wave in meters

A→ amplitude of the wave in meters

ω→ angular frequency given by

ω=2 π/t

φ→ Phase difference

## Sample Problems :

### Example 1 :

If y = 7 sin ω t represents the wave, find the amplitude of the wave.

### Solution :

Given ,

y = 7 sin ω t

The equation is of the form

Y=A sin ω t

Hence forth the amplitude is A=7

### Example 2 :

The equation of a progressive wave is given by

Y=8Sin(10 πt-0.1 πx)

Where x and y are in meter. Find the value of Amplitude,

### Solution :

Y=8Sin(10 πt-0.1 πx)

The equation is in the form of

Y=A sin (ωt+φ)

Henceforth the amplitude is A=8