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:Trad1. 0 = 0, 2. Q =.Tradand 4. 0 =4rad3. Q =3b) Use the equation for the net wavePnet = 2p, cos cos(@t-) to find the amplitude of the sum of the two waves at point Q.analytically for 1. = 0, 2. =2TradTrad3. =Tradand 4. Q =3A W-4 Tuo sinusoidal sound rOues AnswersAW-1 a) 3.46cm b) 3.46cm c) 4.36cm (this is not a typo). Only the graphical method can be usedfor 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-1.85pmAW-4 pnet-1.17p.AW-5 a) 70.0m/sc) 4.74cm d) 42.0°AW-6 paet-4.47x10 N/m2b) yı lies along the +x axis, y2 is 115° counterclockwise from the tip of y1.

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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

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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 43P: (a) Seismographs measure the arrival times of earthquakes with a precision of 0.100 s. To get the...

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

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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

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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