Answered: The vertical displacement of particles…

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter17: Sound

Section: Chapter Questions

Problem 33P: A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels...

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Question

The vertical displacement of particles in a string (when a wave is propagating through it) is given by y = (0.02) sin[(10wt + 8wx)], where everything is measured in standard units, meters and seconds. What is the wavelength of the wave?

A. 2 m

B. 3.5 m

C. 4 m

D. 0.25 m

Expert Solution

Step 1 Introduction:

Given:

Vertical displacement, $y = 0.02 \sin [10 w t + 8 w x]$

Step 2 Explanation:

The wave equation, $y = A \sin (k x - w t)$

So,

Amplitude, A=0.02m

$k = 8 w$

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