A sinusoidal wave with a wave function y(x,t) = 0.014 sin(3Ttx+100t-Tt/3) is propagating on a taut string. The left end of the string corresponds to the origin x = 0. For an element of the string at x = 0.1 m, determine the earliest time (t > 0) at which this element has a transverse velocity v(y,max)/2.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter13: Mechanical Waves
Section: Chapter Questions
Problem 26P
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A sinusoidal wave with a wave function
y(x,t) = 0.014 sin(3ttx+100t-Tt/3) is
propagating on a taut string. The left end of
the string corresponds to the origin x = 0.
For an element of the string at x = 0.1 m,
determine the earliest time (t > 0) at which
this element has a transverse velocity
v(y,max)/2.
t = 11.5 ms
t = 3.33 ms
t = 38.7 ms
t = 52.3 ms
Transcribed Image Text:A sinusoidal wave with a wave function y(x,t) = 0.014 sin(3ttx+100t-Tt/3) is propagating on a taut string. The left end of the string corresponds to the origin x = 0. For an element of the string at x = 0.1 m, determine the earliest time (t > 0) at which this element has a transverse velocity v(y,max)/2. t = 11.5 ms t = 3.33 ms t = 38.7 ms t = 52.3 ms
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