For a particular transverse wave that travels along a string that lies on the x-axis, the equation of motion is: y = (0.0650 m) cos (30.0 rad/s)t – (0.350 m-1)x (a) Determine the wave's amplitude, wavelength, and frequency. amplitude 0.065 m wavelength 17.95 m frequency 4.77 Hz (b) Calculate the speed of the wave. 85.7 v m/s (c) Calculate the tension in the string, if the string has a mass per unit length of 0.0400 kg/m. (d) In which direction is the wave traveling? in the negative x-direction in the positive x-direction neither: the wave is a standing wave (e) Calculate the maximum transverse speed of a point on the string. 1.95 m/s (f) Calculate the displacement (in other words, the y-value) of a point at x = 1.00 m when t = 4.00 s. 0.0324

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Chapter16: Waves
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Problem 70P: Two strings are attached between two poles separated by a distance of 2.00 meters as shown in the...
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For a particular transverse wave that travels along a string that lies on the x-axis, the equation of motion is:
y = (0.0650 m) cos (30.0 rad/s)t – (0.350 m-1)x .
(a) Determine the wave's amplitude, wavelength, and frequency.
amplitude
0.065
wavelength 17.95
frequency
4.77
Hz
(b) Calculate the speed of the wave.
85.7
m/s
(c) Calculate the tension in the string, if the string has a mass per unit length of 0.0400 kg/m.
(d) In which direction is the wave traveling?
in the negative x-direction
in the positive x-direction
neither: the wave is a standing wave
(e) Calculate the maximum transverse speed of a point on the string.
1.95
m/s
(f) Calculate the displacement (in other words, the y-value) of a point at x = 1.00 m when t = 4.00 s.
0.0324
Transcribed Image Text:For a particular transverse wave that travels along a string that lies on the x-axis, the equation of motion is: y = (0.0650 m) cos (30.0 rad/s)t – (0.350 m-1)x . (a) Determine the wave's amplitude, wavelength, and frequency. amplitude 0.065 wavelength 17.95 frequency 4.77 Hz (b) Calculate the speed of the wave. 85.7 m/s (c) Calculate the tension in the string, if the string has a mass per unit length of 0.0400 kg/m. (d) In which direction is the wave traveling? in the negative x-direction in the positive x-direction neither: the wave is a standing wave (e) Calculate the maximum transverse speed of a point on the string. 1.95 m/s (f) Calculate the displacement (in other words, the y-value) of a point at x = 1.00 m when t = 4.00 s. 0.0324
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