Why do all wine glass have four nodes (4th harmonic)?

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Homework Help Overview

The discussion revolves around the acoustic properties of wine glasses, specifically focusing on why they exhibit four nodes in their fundamental mode of vibration, which corresponds to the 4th harmonic. Participants explore the relationship between the physical structure of the glass and its vibrational characteristics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the nature of the nodes and anti-nodes in the context of circular objects, with some exploring the implications of water levels on the fundamental frequency of the glass. Others discuss the mechanics of oscillation and the forces involved in maintaining the glass's shape during vibration.

Discussion Status

The conversation has progressed with some participants clarifying the original question about the nodes and discussing the mechanics of oscillation. There is an ongoing exploration of how the presence of water might affect the frequency, although no consensus has been reached on the specifics.

Contextual Notes

Some participants express a desire to focus the discussion on a single thread, indicating a potential complexity in the topic that may require further clarification.

06mangro
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Why do all wine glass have four nodes (4th harmonic)??

Why do wine glass have four nodes... or four anitnodes... (4th harmonic)?
 
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Every circular thing has a 4th harmonic, I think, together with many other modes. Why do you expect any difference for wine glasses?
 
o6mangro, are you asking "why does the fundamental mode have 4 nodes" (as shown here )?
 
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yes that is what I am talking about!
you got it!
Why is it that wine glasses have four nodes on fundamental frequency?

and also does the fundamental frequency of the object (wine glass + water) change when water level is changed.

The actual wine glass' fundamental frequency won't but is that affectively what is happening ?

Thanks
 
Ah, that question makes more sense.
The "easiest" oscillation which keeps the length of the ring of the glass constant* is a compression in one direction, and an expansion in the other one. This leads to 4 nodes and 4 anti-nodes.

and also does the fundamental frequency of the object (wine glass + water) change when water level is changed.
If the glass has to move more water in the oscillation, it needs more time for the same displacement (at the same elongation => same force).

*changing the length would need much more force, and give a higher frequencyCan we restrict the discussion to one thread instead of two, please?
 

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