The equation of a transverse wave traveling along a very long string is y=9.24 sin(0.0317x+ 3.48t), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x 5.98 cm when t = 0.792 s?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter13: Mechanical Waves
Section13.2: Analysis Model: Traveling Wave
Problem 13.3QQ: The amplitude of a wave is doubled, with no other changes made to the wave. As a result of this...
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The equation of a transverse wave traveling along a very long string is y= 9.24 sin(0.0317x+ 3.48t), where x and y are expressed in
centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of
propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x =
5.98 cm when t = 0.792 s?
(a) Number
(b) Number 63.0915
9.24
(c) Number 1.74
(d) Number 109.779
(e)
-x direction
(f) Number
1.01
(g) Number i 0.001486
Units cm
Units
cm
Units rad/s or s^-1
Units cm/s
Units cm/s
Units cm
<
Transcribed Image Text:The equation of a transverse wave traveling along a very long string is y= 9.24 sin(0.0317x+ 3.48t), where x and y are expressed in centimeters and t is in seconds. Determine (a) the amplitude, (b) the wavelength, (c) the frequency, (d) the speed, (e) the direction of propagation of the wave and (f) the maximum transverse speed of a particle in the string. (g) What is the transverse displacement at x = 5.98 cm when t = 0.792 s? (a) Number (b) Number 63.0915 9.24 (c) Number 1.74 (d) Number 109.779 (e) -x direction (f) Number 1.01 (g) Number i 0.001486 Units cm Units cm Units rad/s or s^-1 Units cm/s Units cm/s Units cm <
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