In the 2022 series Wednesday, there is a scenein which Wednesdaysings "a note only dogs can hear."This note breaks agirl's glasses and also breaks a glass bell jar. To break glass using sound, the pitch (frequency) of the sound needs to match thenatural resonant frequency of the glass. For the glasses, the resonance works its way around the circumference of the glasses. Because the resonating length closes on itself (the two ends of the resonating lengthmeet), the boundary conditions for this must be symmetric. The bell jar, on the other hand, resonates down its length, so for it to crack, it needs asymmetric boundary conditions (think of it almost like a capped pipe). The glasses have a circumference of 14cmand the bell jar has a resonating length of21cm. Both are made of the same kind of glass, so the speed of sound is the same in both of them (v=3000ms). 1.The note that Wednesday sings activates the third harmonic in the glasses. What is the frequency of this harmonic? 2.The same note also cracks the bell jar. Which harmonic is activated by this note in the bell jar? 3.If Wednesday wanted. o activate the first harmonic in the glasses, what frequency wouldshe need? Would this also potentially crack the bell jar? show work please!!!!

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In the 2022 series Wednesday, there is a scenein which Wednesdaysings "a note only dogs can hear." This note breaks agirl's glasses and also breaks a glass bell jar. To break glass using sound, the pitch (frequency) of the sound needs to match
thenatural resonant frequency of the glass. For the glasses, the resonance works its way around the circumference of the glasses. Because the resonating length closes on itself (the two ends of the resonating lengthmeet), the boundary conditions for
this must be symmetric. The bell jar, on the other hand, resonates down its length, so for it to crack, it needs asymmetric boundary conditions (think of it almost like a capped pipe). The glasses have a circumference of 14cmand the bell jar has a
resonating length of21cm. Both are made of the same kind of glass, so the speed of sound is the same in both of them (v=3000ms).
1.The note that Wednesday sings activates the third harmonic in the glasses. What is the frequency of this harmonic?
2.The same note also cracks the bell jar. Which harmonic is activated by this note in the bell jar?
3.If Wednesday wanted to activate the first harmonic in the glasses, what frequency wouldshe need? Would this also potentially crack the bell jar?
show work please!!!!
Transcribed Image Text:In the 2022 series Wednesday, there is a scenein which Wednesdaysings "a note only dogs can hear." This note breaks agirl's glasses and also breaks a glass bell jar. To break glass using sound, the pitch (frequency) of the sound needs to match thenatural resonant frequency of the glass. For the glasses, the resonance works its way around the circumference of the glasses. Because the resonating length closes on itself (the two ends of the resonating lengthmeet), the boundary conditions for this must be symmetric. The bell jar, on the other hand, resonates down its length, so for it to crack, it needs asymmetric boundary conditions (think of it almost like a capped pipe). The glasses have a circumference of 14cmand the bell jar has a resonating length of21cm. Both are made of the same kind of glass, so the speed of sound is the same in both of them (v=3000ms). 1.The note that Wednesday sings activates the third harmonic in the glasses. What is the frequency of this harmonic? 2.The same note also cracks the bell jar. Which harmonic is activated by this note in the bell jar? 3.If Wednesday wanted to activate the first harmonic in the glasses, what frequency wouldshe need? Would this also potentially crack the bell jar? show work please!!!!
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