Ignore work done MysicsTransverse waves on a string have a wave speed of 8 m/s, amplitude 0.07 m,and wavelength 0.32 m. The waves travel in the-x direction, and at t=0 thex=0 end of the string has zero displacement and is moving in the ty direction,a) Write the equation for the traveling transverse waveb) Find the transverse displacement of a particle at x-0.360 m and t=0.15 s.c) How much time must elapse from the instant in part until the particle atx 0.360 m next has zero displacement?X=d) How much additional time must elapse from the instant in part until thenext time the particle has zero displacement?a.) -w the cos(kx-wt + Ø ) + xb.)VF-8.0.07 cos(x+8++) + XVF = 8.0.07 cos(x +U+6)VF-8.0.07 Cos(x+0)y=Ym sin(kx-w++0)y= 0.07 sin (0+8.0.15) = .069m

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Transverse waves on a string have a wave speed of 8 m/s, amplitude 0.07 m and wavelength 0.32 m. The waves travel in the-x direction, and at t=0 the x=0 end of the string has zero displacement and is moving in the ty direction, a) Write the equation for the traveling transverse wave m and b) Find the transverse displacement of a particle at x-0.360 t 0.15 s. c) How much time must elapse from the instant in part until the particle at x 0.360 m next has zero displacement?

Transverse waves on a string have a wave speed of 8 m/s, amplitude 0.07 m and wavelength 0.32 m. The waves travel in the-x direction, and at t=0 the x=0 end of the string has zero displacement and is moving in the ty direction, a) Write the equation for the traveling transverse wave m and b) Find the transverse displacement of a particle at x-0.360 t 0.15 s. c) How much time must elapse from the instant in part until the particle at x 0.360 m next has zero displacement?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Stretched string

A stretched string is a wire which is made up of any metal that must have a larger length compared to its thickness. The ends of the wire are fixed, and when they oscillate or are plucked, it produces two reflected transverse waves of the same frequency and same amplitude. The waves or pulses are traveling in alternate directions and superimpose with one another. This waveform is named standing or stationary waves.

Question

Ignore work done

Mysics
Transverse waves on a string have a wave speed of 8 m/s, amplitude 0.07 m,
and wavelength 0.32 m. The waves travel in the-x direction, and at t=0 the
x=0 end of the string has zero displacement and is moving in the ty direction,
a) Write the equation for the traveling transverse wave
b) Find the transverse displacement of a particle at x-0.360 m and t=0.15 s.
c) How much time must elapse from the instant in part until the particle at
x 0.360 m next has zero displacement?
X=
d) How much additional time must elapse from the instant in part until the
next time the particle has zero displacement?
a.) -w the cos(kx-wt + Ø ) + x
b.)
VF-8.0.07 cos(x+8++) + X
VF = 8.0.07 cos(x +U+6)
VF-8.0.07 Cos(x+0)
y=Ym sin(kx-w++0)
y= 0.07 sin (0+8.0.15) = .069m

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Step 1: Determine the given data:

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Step 2: a) Write the equation of travelling wave:

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Step 3: b) Find the displacement at x=0.360 m and t=0.15 sec:

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Step 4: c) Determine the time elapsed for the particle at b to have zero displacement:

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Step 5: d) Determine the time elapsed from part c for the particle at b to have next zero displacement:

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