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

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SUMMARY

Wine glasses exhibit four nodes at the 4th harmonic due to their circular shape, which inherently supports multiple oscillation modes. The fundamental frequency of a wine glass remains constant regardless of water level; however, the effective oscillation changes as the glass must move more water, requiring more time for the same displacement. This results in a complex interaction between the glass and the liquid, affecting the perceived sound. The primary oscillation mode involves compression in one direction and expansion in another, leading to the formation of four nodes and four anti-nodes.

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  • Understanding of harmonic frequencies
  • Basic knowledge of wave mechanics
  • Familiarity with oscillation modes in circular structures
  • Concept of nodes and anti-nodes in wave theory
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  • Research the principles of harmonic frequencies in circular objects
  • Explore the effects of liquid dynamics on sound production in glassware
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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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