4. A machine tugs sideways on an elastic rope with a frequency of 3.4 Hz. A graph of the transverse displacements of this rope wave at t = 1.0 s as a function of position is shown below. y(x) [m] +0.2 +0.1 x [m] -0.1 0.5 -0.2 a) What is the velocity of waves on this rope? b) If the frequency of the machine tugging on the rope is doubled to f = 6.8 Hz yet the tension in the rope remains the same, what is the new wavelength of waves on this rope? What is the new velocity of waves on this rope?

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter13: Vibrations And Waves
Section: Chapter Questions
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4. A machine tugs sideways on an elastic rope with a frequency of 3.4 Hz. A graph of
the transverse displacements of this rope wave at t = 1.0 s as a function of position is
shown below.
y(x) [m]
+0.2
+0.1
x [m]
-0.1
0.5
-0.2
a) What is the velocity of waves on this rope?
b) If the frequency of the machine tugging on the rope is doubled to f= 6.8 Hz yet the
tension in the rope remains the same, what is the new wavelength of waves on this
rope? What is the new velocity of waves on this rope?
%3D
Transcribed Image Text:4. A machine tugs sideways on an elastic rope with a frequency of 3.4 Hz. A graph of the transverse displacements of this rope wave at t = 1.0 s as a function of position is shown below. y(x) [m] +0.2 +0.1 x [m] -0.1 0.5 -0.2 a) What is the velocity of waves on this rope? b) If the frequency of the machine tugging on the rope is doubled to f= 6.8 Hz yet the tension in the rope remains the same, what is the new wavelength of waves on this rope? What is the new velocity of waves on this rope? %3D
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