Bullwhip wave mechanics: What changes?

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SUMMARY

The discussion centers on the mechanics of bullwhip waves, specifically addressing whether wavelength or amplitude changes as the wave propagates toward the tip. Participants reference the analogy of sound waves in varying densities and highlight the debate between supersonic and non-supersonic interpretations. The consensus leans towards amplitude being the key factor, supported by resources such as the article on kinetic energy concentration in whip segments. The conversation emphasizes the importance of understanding wave mechanics in both practical and theoretical contexts.

PREREQUISITES
  • Understanding of wave properties, specifically amplitude and wavelength
  • Familiarity with kinetic energy concepts in wave mechanics
  • Basic knowledge of sound wave propagation in variable media
  • Awareness of supersonic versus non-supersonic wave behavior
NEXT STEPS
  • Research the mechanics of transverse waves in variable media
  • Explore the implications of wave behavior in cosmological contexts
  • Study the principles of kinetic energy concentration in wave propagation
  • Investigate the differences between supersonic and non-supersonic wave dynamics
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Physicists, wave mechanics enthusiasts, and anyone interested in the dynamics of wave propagation and its implications in various media.

Greylorn
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What wave property changes as a bullwhip wave propagates toward the tip? Wavelength or amplitude?

The problem seemed at first analogous to that of describing the behavior of a sound wave propagating through air of linearly decreasing density, except that sound is longitudinal.
 
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This might help you think about it :)

http://paws.kettering.edu/~drussell/Demos/reflect/reflect.html
 
This is one of those controversial issues that seesaws between rival camps: in this case the supersonic versus the non-supersonic factions. Even skilled whip crackers disagree. The best explanation I've found so far is here: http://home.comcast.net/~a-mcnibble/Rants/WhyWhipsCrack.pdf according to which it's the concentration of kinetic energy into a smaller and smaller whip segment that does it.
 
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univox360 said:
This might help you think about it :)

http://paws.kettering.edu/~drussell/Demos/reflect/reflect.html

Thank you! The link answered the question in favor of amplitude, and is a fine exposition of other aspects of wave mechanics, providing even more to think about. Greatly appreciated.
 
Bill_K said:
This is one of those controversial issues that seesaws between rival camps: in this case the supersonic versus the non-supersonic factions. Even skilled whip crackers disagree. The best explanation I've found so far is here: http://home.comcast.net/~a-mcnibble/Rants/WhyWhipsCrack.pdf according to which it's the concentration of kinetic energy into a smaller and smaller whip segment that does it.

Bill,
Great link! Although I was more interested in the mechanics of a transverse wave in a variable medium (looking for cosmological implications) than in what happens at the end of a wave's transmission, I was being short sighted. The end may be the most important part of the problem. Thank you for the insight!
 
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