Problems Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewett. 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) You can use the trig identity in the text on p#.470 as a guide, but take the time to derive the iden- tity using de Moivre's theorem to apply the trick we've been developing in class for trig identities. ニ P(+) = P, +P, + Patm SP cos (Wit) + SPCOS (Wet) + Patm 8P[Cos (t)+ Cos (We t)] + Patm %3D %3D %3D
Problems Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewett. 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) You can use the trig identity in the text on p#.470 as a guide, but take the time to derive the iden- tity using de Moivre's theorem to apply the trick we've been developing in class for trig identities. ニ P(+) = P, +P, + Patm SP cos (Wit) + SPCOS (Wet) + Patm 8P[Cos (t)+ Cos (We t)] + Patm %3D %3D %3D
Related questions
Question
100%
what steps are missing from this solution if you can help me with the missing calculations thank you
Transcribed Image Text:dne
Vン
xX e
ate
P(H) = P, +P2 + Patn
ESPos (Wit) + SPas(Wat)+ Paten
SP Caslwit) + Gs (Wzt)} + Patin
X.
W」ナ+ wzt
Cas
+ Patm
%3D
2.
P(4)=
t.
+ Patm
Cos
(Witwe)
Cos
![Problems
Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewett.
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)
You can use the trig identity in the text on p#.470 as a guide, but take the time to derive the iden-
tity using de Moivre's theorem to apply the trick we've been developing in class for trig identities.
ニ
yn
P(4) = P, +P, + Patm
SP cos (Wit) + SPCOS (Wet) + Patm
8P[Cos (ct)+ Cos (We t)] + Patm
%3D
%3D
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50130201-d9ba-49f8-bcaa-a82c73687787%2Faca0a250-1121-46f4-b279-7c1cd4e2df47%2Fq7nggi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problems
Chapter 17 of "Physics for Scientists and Engineers", 10th ed. by Serway and Jewett.
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)
You can use the trig identity in the text on p#.470 as a guide, but take the time to derive the iden-
tity using de Moivre's theorem to apply the trick we've been developing in class for trig identities.
ニ
yn
P(4) = P, +P, + Patm
SP cos (Wit) + SPCOS (Wet) + Patm
8P[Cos (ct)+ Cos (We t)] + Patm
%3D
%3D
%3D
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
