Amplitude Formula with Sample Problems

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

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