1. An infinitely long string stretching along the x-axis, with a tension 7 = 18.0, carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,1), perpendicular to the direction of travel, is: y(x,t) = (0.350) sin((0.0500 z)x+ (300.0 r)t). In this equation the units of both y(x,1) and xare cm and t is in seconds. a. What is the amplitude of the wave, y. ? b. What is the frequency of the wave, f ? c. What is the wavelength of the wave, 2 ? d. What is the speed of the wave, v? e. What direction is the wave traveling along the x-axis? f. At x=1.20 cm and t = 3.56x10 s what is the phase, o of the wave? g. At x=1.20 cm and t = 3.56x10 s what is the displacement y(x,t) of the wave? h. What is the mass per unit length of the string, u ?

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Chapter16: Wave Motion
Section: Chapter Questions
Problem 16.9P
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1.
An infinitely long string stretching along the x-axis, with a tension r=18.0N ,
carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,1),
perpendicular to the direction of travel, is:
y(x,t) = (0.350) sin( (0.0500 z)x+ (300.0 z)t). In this equation the units of both
y(x,1) and xare cm and t is in seconds.
a. What is the amplitude of the wave, y. ?
b. What is the frequency of the wave, f ?
c. What is the wavelength of the wave, 2 ?
d. What is the speed of the wave, v?
e. What direction is the wave traveling along the x-axis?
f. At x=1.20 cm and t = 3.56x10ʻs what is the phase, o of the wave?
g. At x=1.20 cm and t= 3.56x10 s what is the displacement y(x,t) of the wave?
h. What is the mass per unit length of the string, 4 ?
Transcribed Image Text:1. An infinitely long string stretching along the x-axis, with a tension r=18.0N , carries a transverse sinusoidal (harmonic) wave. The displacement, y(x,1), perpendicular to the direction of travel, is: y(x,t) = (0.350) sin( (0.0500 z)x+ (300.0 z)t). In this equation the units of both y(x,1) and xare cm and t is in seconds. a. What is the amplitude of the wave, y. ? b. What is the frequency of the wave, f ? c. What is the wavelength of the wave, 2 ? d. What is the speed of the wave, v? e. What direction is the wave traveling along the x-axis? f. At x=1.20 cm and t = 3.56x10ʻs what is the phase, o of the wave? g. At x=1.20 cm and t= 3.56x10 s what is the displacement y(x,t) of the wave? h. What is the mass per unit length of the string, 4 ?
Expert Solution
Step 1

Given-

y(x,t)=(0.350)sin((0.0500π)x+(300π)t) -----(1)

ζ=18 N

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