When does gravity take over surface tension?

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Discussion Overview

The discussion revolves around the conditions under which gravity overcomes surface tension, particularly in the context of creating a scale model of Earth to address claims made by flat earthers. Participants explore the theoretical implications of this balance between gravitational and surface tension forces.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks to determine the radius at which gravity will overcome surface tension in a scale model of Earth.
  • Another participant suggests that demonstrating this concept to flat earthers may not be worthwhile.
  • A participant mentions the Bond number (Eotvos number) as a relevant ratio of gravitational to interfacial energies, indicating that a high Bond number suggests gravity dominates.
  • There is a request for a formula to quantify the relationship between gravity and surface tension in this context.
  • Some participants express interest in the physics challenge posed by the question, despite differing views on its relevance to flat earthers.

Areas of Agreement / Disagreement

Participants express differing opinions on the value of the discussion, with some viewing it as a worthwhile physics challenge while others consider it a waste of time. The discussion does not reach a consensus on the practical implications of the inquiry.

Contextual Notes

The discussion involves assumptions about the applicability of the Bond number and its critical value, as well as the definitions of gravitational and interfacial energies. There are unresolved questions regarding the specific formulas that may apply to the scenario.

Who May Find This Useful

Individuals interested in fluid dynamics, gravitational physics, and the interplay between surface tension and gravity may find this discussion relevant.

physnoct
I want to demonstrate to flat earthers that water does indeed stick to a ball. If we want to do a scale model of the earth, at which radius will gravity overcome the surface tension?
 
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physnoct said:
I want to demonstrate to flat earthers...

That would be a waste of time.
 
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Put a drinking straw into a glass of water and the water will rise up the straw until gravity "overcomes" surface tension.
 
physnoct said:
I want to demonstrate to flat earthers that water does indeed stick to a ball. If we want to do a scale model of the earth, at which radius will gravity overcome the surface tension?

The Bond number (Eotvos number) is the ratio of gravitational and interfacial energies: when the Bond number is high, gravity dominates and vice-versa. So all you need to do is write down the Bond number for your scale model and determine what the critical value of 'planetary' mass is (when Bo = 1)
 
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CWatters said:
That would be a waste of time.
For FEers, maybe. The question itself is worth an answer, as it is an interesting physics challenge and I would like to know the answer.
 
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Andy Resnick said:
The Bond number (Eotvos number) is the ratio of gravitational and interfacial energies: when the Bond number is high, gravity dominates and vice-versa. So all you need to do is write down the Bond number for your scale model and determine what the critical value of 'planetary' mass is (when Bo = 1)
That's a good start! I'll check that. Thanks!
 
CWatters said:
Put a drinking straw into a glass of water and the water will rise up the straw until gravity "overcomes" surface tension.
Is there a formula that I can use?
 

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