15.3.4 Learning Goal:To understand the standard formula for a sinusoidaltraveling wave.One formula for a wave with a y displacement (e.g.,of a string) traveling in the x direction isy(x, t) = A sin(kx – wt).-All the questions in this problem refer to this formulaand to the wave it describes.Part AWhich of the following are independent variables? What is the period T of this wave?Express the period in terms of one or more givenvariables (A, k, x, t, and w) and any neededconstants like TT.T=ΑΣΦSubmitPart FRequest Answer↑ĆWhat is the speed of propagation of this wave?Express the speed of propagation in terms of oneor more given variables (A, k, x, t, and w) andany needed constants like Tπ.

sinusoidal travelling wave y(x,t)=Asinkx-ωt

Learning Goal: To understand the standard formula for a sinusoidal traveling wave. One formula for a wave with a y displacement (e.g., of a string) traveling in the x direction is y(x, t) = A sin(kx - wt). All the questions in this problem refer to this formula

Learning Goal: To understand the standard formula for a sinusoidal traveling wave. One formula for a wave with a y displacement (e.g., of a string) traveling in the x direction is y(x, t) = A sin(kx - wt). All the questions in this problem refer to this formula

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 92P: Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x3s1t)...

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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

15.3.4

Learning Goal:
To understand the standard formula for a sinusoidal
traveling wave.
One formula for a wave with a y displacement (e.g.,
of a string) traveling in the x direction is
y(x, t) = A sin(kx – wt).
-
All the questions in this problem refer to this formula
and to the wave it describes.
Part A
Which of the following are independent variables?

What is the period T of this wave?
Express the period in terms of one or more given
variables (A, k, x, t, and w) and any needed
constants like TT.
T
=
ΑΣΦ
Submit
Part F
Request Answer
↑
Ć
What is the speed of propagation of this wave?
Express the speed of propagation in terms of one
or more given variables (A, k, x, t, and w) and
any needed constants like Tπ.

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