2. で+5) is bimagination (Wi-Wa) +) Cos (W,+We)+ 1) Cos 2. 2. Real purte Relei(aray Releit, t) ot above expussion Cos(wit) + Cos (Wz t)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewet.
Two sound waves arrive at your ear simultaneously; they have slightly different frequencies: wi and
w2 and equal amplitudes. You hear the loudness oscillate sinusoidally; this is what we refer to as
"beats". Show that the total sound wave has the the form:
P(t) = Patm + 28P cos((w1 - w2)/2) cos((w1 + w2)/2).
(1)
e,
bimagination
Cosl lWi-We) +
Cos/ (W,+We)+
Real puth Releiter Reterort
ot above
expussion
Real purts
Coslwit) + Cos (We t)
Transcribed Image Text:Problems Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewet. Two sound waves arrive at your ear simultaneously; they have slightly different frequencies: wi and w2 and equal amplitudes. You hear the loudness oscillate sinusoidally; this is what we refer to as "beats". Show that the total sound wave has the the form: P(t) = Patm + 28P cos((w1 - w2)/2) cos((w1 + w2)/2). (1) e, bimagination Cosl lWi-We) + Cos/ (W,+We)+ Real puth Releiter Reterort ot above expussion Real purts Coslwit) + Cos (We t)
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