Question Consider a wave travelling through a medium that is 10 metres long and has a thermal conductivity of c = 0.05. The initial amplitude of the wave, and the initial derivative of the amplitude (with respect to time) of the wave are: u(x, 0) = 0 and u(x, 0) = {48.17 if 0 < x < 2.60 if 2.60 < x <10 furthermore, the wave's amplitude is fixed at both ends of the medium, so that u(0, t) = u(10, t) = 0. Find the values of E and F at the x-coordinates, times, and n values in the table below. Fill out the table below with your answers. Answer I-coordinate x = 2.00 x = 2.00 Time 1.61s 0.88s E33 E Fa E15= F15= F33 F47 = x = x = 2.00 1.328 E47= = 2.00 0.38s E65 F65 F94 x = 2.00 1.58 E94

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
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Consider a wave travelling through a medium that is 10 metres long and has a thermal conductivity of c = 0.05.
The initial amplitude of the wave, and the initial derivative of the amplitude (with respect to time) of the wave are:
u(x, 0) = 0 and u(x, 0) = {48.17 if 0 < x < 2.60
if 2.60 < x <10
furthermore, the wave's amplitude is fixed at both ends of the medium, so that u(0, t) = u(10, t) = 0.
Find the values of E and F at the x-coordinates, times, and n values in the table below. Fill out the table below with your answers.
Answer
I-coordinate
x = 2.00
x = 2.00
Time
1.61s
0.88s E33
E
Fa
E15=
F15=
F33
F47 =
x =
x =
2.00
1.328 E47=
= 2.00
0.38s
E65
F65
F94
x = 2.00
1.58
E94
Transcribed Image Text:Question Consider a wave travelling through a medium that is 10 metres long and has a thermal conductivity of c = 0.05. The initial amplitude of the wave, and the initial derivative of the amplitude (with respect to time) of the wave are: u(x, 0) = 0 and u(x, 0) = {48.17 if 0 < x < 2.60 if 2.60 < x <10 furthermore, the wave's amplitude is fixed at both ends of the medium, so that u(0, t) = u(10, t) = 0. Find the values of E and F at the x-coordinates, times, and n values in the table below. Fill out the table below with your answers. Answer I-coordinate x = 2.00 x = 2.00 Time 1.61s 0.88s E33 E Fa E15= F15= F33 F47 = x = x = 2.00 1.328 E47= = 2.00 0.38s E65 F65 F94 x = 2.00 1.58 E94
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