1odel for the vibrations of a wine glass is x" + Ax' +w²x = 0. ume that when the glass is struck it vibrates at 660 Hz. how that Aw² – X² = 26407. the sound takes about 3 seconds to disappear, and this happens when the original e been reduced to 1/100 from their initial level, show what 2 In 100 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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A model for the vibrations of a wine glass is
x + Ax +w²x = 0.
Assume that when the glass is struck it vibrates at 660 Hz.
a) Show that
4w2 – X² = 2640r.
b) If the sound takes about 3 seconds to disappear, and this happens when the original vibrations
have been reduced to 1/ 100 from their initial level, show what
2 In 100
3
Transcribed Image Text:A model for the vibrations of a wine glass is x + Ax +w²x = 0. Assume that when the glass is struck it vibrates at 660 Hz. a) Show that 4w2 – X² = 2640r. b) If the sound takes about 3 seconds to disappear, and this happens when the original vibrations have been reduced to 1/ 100 from their initial level, show what 2 In 100 3
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