7-3 Two sound waves arriving at the same point Q in space are described at that point by the equations: P, Pm COS wt and p2 pm Ccos(@t-0). a) Use phasors to find graphically the amplitude of the sum of the two waves for: Trad 3. 0 =. 3 b) Use the equation for the net wave Trad 1. 0 = 0, 2. O =. 2 Trad and 4. 0 = 4 Pnet = 2p,, cos- -cos(@t-) to find the amplitude of the sum of the two waves at point Q. 2 Trad Trad Trad analytically for 1. O = 0, 2. =. 3. 0 = 2 and 4. D = 4 14 Two siusoidal sound woye

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Chapter16: Waves
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Problem 137AP: A trough with dimensions 10.00 meters by 0.10 meters by 0.10 meters is partially filled with water....
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AW-3 Two sound waves arriving at the same point Q in space are described at that point by the equations:
Pi = Pm COS wt and p, =pm cos(@t-0).
a) Use phasors to find graphically the amplitude of the sum of the two waves for:
Trad
1. 0 = 0, 2. Q =.
Trad
and 4. 0 =
4
rad
3. Q =
3
b) Use the equation for the net wave
Pnet = 2p, cos cos(@t-) to find the amplitude of the sum of the two waves at point Q.
analytically for 1. = 0, 2. =
2
Trad
Trad
3. =
Trad
and 4. Q =
3
A W-4 Tuo sinusoidal sound rOues
Transcribed Image Text:AW-3 Two sound waves arriving at the same point Q in space are described at that point by the equations: Pi = Pm COS wt and p, =pm cos(@t-0). a) Use phasors to find graphically the amplitude of the sum of the two waves for: Trad 1. 0 = 0, 2. Q =. Trad and 4. 0 = 4 rad 3. Q = 3 b) Use the equation for the net wave Pnet = 2p, cos cos(@t-) to find the amplitude of the sum of the two waves at point Q. analytically for 1. = 0, 2. = 2 Trad Trad 3. = Trad and 4. Q = 3 A W-4 Tuo sinusoidal sound rOues
Answers
AW-1 a) 3.46cm b) 3.46cm c) 4.36cm (this is not a typo). Only the graphical method can be used
for this part because the anmplitudes of the two wayes are not the sarne,
AW-2 83°
AW-3 a) and b): 1. Pnet=2Pm 2. Pue=1.41pm 3. Pnet=1.73pm and 4. pnet-1.85pm
AW-4 pnet-1.17p.
AW-5 a) 70.0m/s
c) 4.74cm d) 42.0°
AW-6 paet-4.47x10 N/m2
b) yı lies along the +x axis, y2 is 115° counterclockwise from the tip of y1.
Transcribed Image Text:Answers AW-1 a) 3.46cm b) 3.46cm c) 4.36cm (this is not a typo). Only the graphical method can be used for this part because the anmplitudes of the two wayes are not the sarne, AW-2 83° AW-3 a) and b): 1. Pnet=2Pm 2. Pue=1.41pm 3. Pnet=1.73pm and 4. pnet-1.85pm AW-4 pnet-1.17p. AW-5 a) 70.0m/s c) 4.74cm d) 42.0° AW-6 paet-4.47x10 N/m2 b) yı lies along the +x axis, y2 is 115° counterclockwise from the tip of y1.
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