A sinusoidal wave on a string is traveling to the left with an amplitude of 20 cm, wavelength of 35 cm, and frequency of 12 Hz. The transverse position of an element of the medium at t=0, x=0 has maximum displacement and is moving downward. Find: a. wave number, period, angular frequency. b. wave function y (x, t) describing the wave c. the transverse displacement of the particle at x=10 cm and t=0.5 s.

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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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a.k=0.06% rad/cm; T=0.08 s; @=24* rad/cm
b.y = 20 cos (24% rad/ct-0.06% rad/cm x)
c.y=-6.18
Option 5
a.k=0.067 rad/cm; T=0.08 s; w=24π rad/cm
b.y = 20 cos (24z rad/ct-0.06% rad/cm x)
c.y = 6.18
Option 6
a.k=0.06 rad/cm; T=0.08 s; w=24m rad/cm
b.y = 20 sin (24π rad/ct +0.067 rad/cm x)
c.y=-6.18
Option 2
a.k=0.06% rad/cm; T=0.08 s; w=24% rad/cm
b.y = 20 sin (24% rad/ct-0.067 rad/cm x)
c.y = -6.18
Option 3
a.k=0.067 rad/cm; T=0.08 s; w=24% rad/cm
b.y = 20 cos (24m rad/ct+ 0.067 rad/cm x)
cy=-6.18
Option 1
a.k=0.06m rad/cm; T=0.08 s; w=24% rad/cm
b.y = 20 sin (24π rad/ct+ 0.067 rad/cm x)
c.y = 6.18
Option 4
Transcribed Image Text:a.k=0.06% rad/cm; T=0.08 s; @=24* rad/cm b.y = 20 cos (24% rad/ct-0.06% rad/cm x) c.y=-6.18 Option 5 a.k=0.067 rad/cm; T=0.08 s; w=24π rad/cm b.y = 20 cos (24z rad/ct-0.06% rad/cm x) c.y = 6.18 Option 6 a.k=0.06 rad/cm; T=0.08 s; w=24m rad/cm b.y = 20 sin (24π rad/ct +0.067 rad/cm x) c.y=-6.18 Option 2 a.k=0.06% rad/cm; T=0.08 s; w=24% rad/cm b.y = 20 sin (24% rad/ct-0.067 rad/cm x) c.y = -6.18 Option 3 a.k=0.067 rad/cm; T=0.08 s; w=24% rad/cm b.y = 20 cos (24m rad/ct+ 0.067 rad/cm x) cy=-6.18 Option 1 a.k=0.06m rad/cm; T=0.08 s; w=24% rad/cm b.y = 20 sin (24π rad/ct+ 0.067 rad/cm x) c.y = 6.18 Option 4
A sinusoidal wave on a string is traveling to the left with an amplitude of
20 cm, wavelength of 35 cm, and frequency of 12 Hz. The transverse
position of an element of the medium at t=0, x=0 has maximum
displacement and is moving downward.
Find:
a. wave number, period, angular frequency.
b. wave function y (x, t) describing the wave
c. the transverse displacement of the particle at x=10 cm and t=0.5 s.
Transcribed Image Text:A sinusoidal wave on a string is traveling to the left with an amplitude of 20 cm, wavelength of 35 cm, and frequency of 12 Hz. The transverse position of an element of the medium at t=0, x=0 has maximum displacement and is moving downward. Find: a. wave number, period, angular frequency. b. wave function y (x, t) describing the wave c. the transverse displacement of the particle at x=10 cm and t=0.5 s.
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