6) A transverse wave on a string lying along the x-axis is described by y(x, t) = 5 cos(4nt + 7rx) where the y-direction is transverse to the wave, t is time, and all lengths are in centimeters and times are in seconds. A. What is the wavelength in cm?

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Chapter17: Sound Waves
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6) A transverse wave on a string lying along the x-axis is described by
y(x, t) = 5 cos(4nt + 7rx)
6.
where the y-direction is transverse to the wave, t is time, and all lengths are
in centimeters and times are in seconds.
What is the wavelength in cm?
What direction is the wave traveling?
А.
В.
C.
How far does a peak of the wave travel in 4 seconds?
D.
How long does it take a bead on the string that's initially at
y=0 to get back to its initial location?
Е.
(i) Draw a snapshot of the wave at time t=0.25 seconds, and
(ii) indicate locations on the graph where the transverse velocity is
maximal. Make sure to label your axes.
Transcribed Image Text:6) A transverse wave on a string lying along the x-axis is described by y(x, t) = 5 cos(4nt + 7rx) 6. where the y-direction is transverse to the wave, t is time, and all lengths are in centimeters and times are in seconds. What is the wavelength in cm? What direction is the wave traveling? А. В. C. How far does a peak of the wave travel in 4 seconds? D. How long does it take a bead on the string that's initially at y=0 to get back to its initial location? Е. (i) Draw a snapshot of the wave at time t=0.25 seconds, and (ii) indicate locations on the graph where the transverse velocity is maximal. Make sure to label your axes.
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