Two sound waves are emitted: y1, with frequency f1, and y2, with frequency f2, with other constants identical, as expressed below. Distances in meters, times in seconds, and angles in radians:
(1) y1 = .02 sin(8 Pi x - 108 Pi t) (2) y2= .02 sin (8 Pi x - 100 Pi t)
The two waves add to produce the sound perceived by a listener.
PART a. Show y, the equation of the sum, y1 + y2, of the two waves.
PART b. Find the beat frequency of the combined waves.