The sounds we hear are made up of mechanical waves The note

The sounds we hear are made up of mechanical waves. The note ‘A’ above the note ‘middle C’ is a sound wave with ordinary frequency f = 440 Hertz = 440 cycles second . Find a sinusoid which models this note, assuming that the amplitude is 1 and the phase shift is 0.

Solution

frequency = 440 Hz

Period = 1/frequency = 1/440

Now, sinusoid that ca model the note = AsinB(t -C)

phase shift, C =0

Ampitude , A =1

B = 2pi/ period = 2pi*440 = 880pi

So, y = sin(880pi*t)