Two waves are traveling on a string. They are described by the following functions: 6.00rad 420.rad 6.00rad 420.rad y, = (5.00cm) cos and y, = (3.50cm)cos t+2.00rad a) Find the speed of the waves on the string. b) Make a free-hand sketch of the phasors for the two waves to show the individual phasors and their sum. Label the phasors as y1, y2, and ynet- c) Use the diagram to find the amplitude of the net wave in centimeters. d) Calculate the phase angle of the net wave (ynct) using phasor y, as the reference phase. In other words, find the angle between the ynet and y, phasors. Show net on your diagram.

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AW-5 Two waves are traveling on a string. They are described by the following functions:
6.00rad
420.rad
6.00rad
420.rad
y, = (5.00cm) cos
and y, = (3.50cm)cos
t+2.00rad
S
m
a) Find the speed of the waves on the string.
b) Make a free-hand sketch of the phasors for the two waves to show the individual phasors and their
sum. Label the phasors as y,, y2, and ynet.
c) Use the diagram to find the amplitude of the net wave in centimeters.
d) Calculate the phase angle of the net wave (ynct) using phasor y, as the reference phase.
In other words, find the angle between the ynet and y, phasors. Show net on your diagram.
Transcribed Image Text:AW-5 Two waves are traveling on a string. They are described by the following functions: 6.00rad 420.rad 6.00rad 420.rad y, = (5.00cm) cos and y, = (3.50cm)cos t+2.00rad S m a) Find the speed of the waves on the string. b) Make a free-hand sketch of the phasors for the two waves to show the individual phasors and their sum. Label the phasors as y,, y2, and ynet. c) Use the diagram to find the amplitude of the net wave in centimeters. d) Calculate the phase angle of the net wave (ynct) using phasor y, as the reference phase. In other words, find the angle between the ynet and y, phasors. Show net on your diagram.
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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