Rotating Disk Method to Attain Light Speed?

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SUMMARY

The forum discussion conclusively establishes that a rotating disk cannot achieve or exceed the speed of light at its rim due to relativistic constraints and material strength limits. The Ehrenfest paradox and relativistic kinetic energy calculations demonstrate that as tangential velocity approaches the speed of light (c), the required energy and centrifugal forces tend to infinity, causing the disk to disintegrate before reaching c. Experimental evidence from particle accelerators confirms relativistic predictions, invalidating Newtonian mechanics at these speeds. Attempts to circumvent these limits by external centripetal forces or increasing disk radius effectively reduce to relativistic kinematics, which still prohibit surpassing c.

PREREQUISITES

  • Special Relativity and relativistic kinetic energy equations
  • Ehrenfest paradox and rigid body rotation in relativity
  • Material strength limits and centrifugal force calculations
  • Experimental particle acceleration and relativistic momentum

NEXT STEPS

  • Study Paul Ehrenfest’s 1909 paper on uniform rotation and relativity
  • Analyze relativistic kinetic energy and momentum in particle accelerators
  • Explore material science limits on tensile strength under extreme centrifugal forces
  • Review experimental validations of relativistic speed limits, e.g., Bertozzi’s experiments

USEFUL FOR

Physicists, aerospace engineers, material scientists, and students of special relativity seeking to understand the physical and theoretical limits of rotational motion near light speed and the implications of relativistic mechanics on macroscopic objects.

  • #31
SiennaTheGr8 said:
I wonder... what's the speed of sound in unobtainium?
It can't be greater than or equal to the speed of light--that's the ultimate relativistic limit, even for unobtainium, superbium, idealmaterialium, etc.
 
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  • #32
SiennaTheGr8 said:
I wonder... what's the speed of sound in unobtainium?
Sound doesn't propagate through the unobtainium.
 
  • #33
PeterDonis said:
Well, we don't have an actual test lab here, so all we can tell you is what the theory says. :wink:
Particles have been accelerated to near the speed of light, so it is known how much energy and force is needed. The results agree with the theory to an impressive degree.
 
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  • #34
FactChecker said:
Particles have been accelerated to near the speed of light, so it is known how much energy and force is needed. The results agree with the theory to an impressive extent.
Bertozzi even filmed a simple test of this, and somebody put it on YouTube:
 
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  • #35
PeterDonis said:
We've already given you the results that this lab produces--they're the results that relativity predicts.
That’s fine... Everyone has their limits, and an actual test would not be feasible. Thanks and best wishes to you...👍
 
  • #36
Dale said:
Experimentally, rotating disks break apart when their tangential velocity is on the order of the speed of sound in the material. Even the speed of sound in diamond is not relativistic, let alone close to c.
Thanks. This is useful, practical information. 👍
 
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  • #37
Jaime Rudas said:
Perhaps one of the first to analyze this situation was Paul Ehrenfest in his 1909 paper "Uniform rotation of rigid bodies and the theory of relativity" which is why it is now called the Ehrenfest paradox.
Thanks for sharing the paper. Unfortunately, I don’t read German, but Google Translate was able to make some sense of the text.
"Now, in a recently published work1) a definition of the relative rigidity, which makes all possible movements. Mr. Born has Definition - the basic idea of the Relati- theory - not to the system of measurement of a stationary observer, but on the (Minkowski) standards moods, so to speak, of a continuum of infinitesimal observers who are connected to the points of the unevenly moving body. ' each of them shall in his or her own measure its infinitesimal environment..."
Do you have any more pages, or a link to the full article?
 
  • #38
aLeaf said:
Thanks for sharing the paper. Unfortunately, I don’t read German, but Google Translate was able to make some sense of the text.
"Now, in a recently published work1) a definition of the relative rigidity, which makes all possible movements. Mr. Born has Definition - the basic idea of the Relati- theory - not to the system of measurement of a stationary observer, but on the (Minkowski) standards moods, so to speak, of a continuum of infinitesimal observers who are connected to the points of the unevenly moving body. ' each of them shall in his or her own measure its infinitesimal environment..."
Do you have any more pages, or a link to the full article?
Ahh, just found a translated version! 🙌🏼
https://en.wikisource.org/wiki/Tran..._of_Rigid_Bodies_and_the_Theory_of_Relativity
Hopefully it’s accurate, at least relatively speaking...😉
 
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  • #39
Ibix said:
As Peter has pointed out, in this thread all you can do is apply the theory. You can call this "doing a thought experiment" if you like, but it's still just applying the theory. And the theoretical implications of relativity are clear - the kinetic energy of the disc depends on the linear speed of its parts and diverges as you approach ##c##, as do the stresses on the disc. So the disc will disintegrate, and even if you just pretend it won't disintegrate it still can't reach ##c## because no amount of energy is sufficient.

You would need to do a real experiment and show that its results are inconsistent with relativistic predictions to challenge this.
Not interested in challenging the established theory, actually. To quote you, "just applying the theory" is not likely to provide any insights beyond those allowed within the theory. Fortunately, theories are imperfect, hence cannot support absolute statements of negation. Innovation tends to require re-examination of fundamental precepts, like the early geocentric concepts of astrophysics and its "perfect" crystal spheres.
 
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  • #40
Thread is closed for Moderation...
 
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  • #41
aLeaf said:
Not interested in challenging the established theory, actually.
Um, yes, you are:

aLeaf said:
To quote you, "just applying the theory" is not likely to provide any insights beyond those allowed within the theory. Fortunately, theories are imperfect, hence cannot support absolute statements of negation. Innovation tends to require re-examination of fundamental precepts, like the early geocentric concepts of astrophysics and its "perfect" crystal spheres.
This is challenging the established theory--just with nothing to back the challenge up but vague generalities.

Thread will remain closed.
 
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