A transverse wave travelling along a string is given by (in MKS units): y(x,t) = 2π3 cos(πx/30 + 2πt/0.17).What is the speed of the wave?a) 353 m/s b) 375 m/s c) 340 m/s d) none of these

Answered: A transverse wave travelling along a…

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 133AP: A transverse wave on a string has a wavelength of 5.0 m, a period of 0.02 s, and an amplitude of 1.5...

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A transverse wave travelling along a string is given by (in MKS units): y(x,t) = 2π³ cos(πx/30 + 2πt/0.17).

What is the speed of the wave?

a) 353 m/s

b) 375 m/s

c) 340 m/s

d) none of these

Expert Solution

Step 1

$y (x, t) = 2 π 3 \cos (π x / 30 + 2 π t / 0.17) c o m p a r i n g w i t h s \tan d a r d e q u a t i o n y (x, t) = A \cos (k x + w t), w e g e t : k = π / 30 w = 2 π / 0.17$

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