Imagine thnat you have three long springs. II you measure the speed of transverse w along the springs, you would accumulate the data given in the following table. Force exerted on the | Amplitude end of the spring Spring Frequency Mass/length number (cm) (Hz) (kg/m) (tension, N) 1 4.0 10 2 0.16

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Chapter16: Waves
Section: Chapter Questions
Problem 6CQ: A sinusoidal, transverse wave is produced on a stretched spring, having a period T. Each section of...
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Imagine that
you
have three long springs. If you measure the speed of transverse wave pulses
along the springs, you would accumulate the data given in the following table.
Spring
Force exerted on the | Amplitude
Frequency
Mass/length
Speed
number
end of the spring
(cm)
(Hz)
(kg/m)
(m/s)
(tension, N)
1
4.0
10
2
0.16
5.0
1
8.0
10
2
0.16
7.1
1
16.0
10
2
0.16
10.0
1
4.0
10
0.16
5.0
4.0
20
2
0.16
5.0
1
4.0
30
0.16
5.0
1
4.0
10
0.16
5.0
1
4.0
10
3
0.16
5.0
1
4.0
10
4
0.16
5.0
1
4.0
10
0.16
5.0
2
4.0
10
0.080
7.1
3
4.0
10
2
0.040
10.0
Collaborate with your group to come up with an expression that can be used to determine the
speed of the wave as a function of different properties of the springs. You are looking for a
speed, so your properties must combine in a way that gives units of m/s.
Explain how you came to your result in this report.
2.
Transcribed Image Text:Imagine that you have three long springs. If you measure the speed of transverse wave pulses along the springs, you would accumulate the data given in the following table. Spring Force exerted on the | Amplitude Frequency Mass/length Speed number end of the spring (cm) (Hz) (kg/m) (m/s) (tension, N) 1 4.0 10 2 0.16 5.0 1 8.0 10 2 0.16 7.1 1 16.0 10 2 0.16 10.0 1 4.0 10 0.16 5.0 4.0 20 2 0.16 5.0 1 4.0 30 0.16 5.0 1 4.0 10 0.16 5.0 1 4.0 10 3 0.16 5.0 1 4.0 10 4 0.16 5.0 1 4.0 10 0.16 5.0 2 4.0 10 0.080 7.1 3 4.0 10 2 0.040 10.0 Collaborate with your group to come up with an expression that can be used to determine the speed of the wave as a function of different properties of the springs. You are looking for a speed, so your properties must combine in a way that gives units of m/s. Explain how you came to your result in this report. 2.
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