Linear expansion by heat for an object

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SUMMARY

The discussion centers on the concept of linear expansion by heat, specifically addressing how materials behave when subjected to temperature changes. The primary equation referenced is delta L = Lα delta T, which describes the change in length (delta L) based on the original length (L), the coefficient of linear expansion (α), and the change in temperature (delta T). Participants clarify misconceptions regarding the behavior of a round hole in a heated square plate, concluding that the diameter of the hole increases as the plate expands. This fundamental principle of thermal expansion is crucial for solving related physics problems.

PREREQUISITES
  • Understanding of linear expansion and the equation delta L = Lα delta T
  • Familiarity with the concept of thermal expansion in solids
  • Basic knowledge of geometry, particularly regarding shapes and dimensions
  • Ability to interpret and analyze physics problems
NEXT STEPS
  • Study the principles of thermal expansion in different materials
  • Learn about the coefficient of linear expansion for various substances
  • Explore practical applications of thermal expansion in engineering and design
  • Review examples of thermal expansion problems and their solutions
USEFUL FOR

Students studying physics, particularly those preparing for exams in thermodynamics and material science, as well as educators looking to clarify concepts of thermal expansion.

ehf
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Homework Statement


swYr8aw.jpg

http://i.imgur.com/swYr8aw.jpg

Homework Equations



delta L=LalphadeltaT

The Attempt at a Solution


sorry for s**ty handwriting look at #8[/B]
59Ew8vJ.jpg

http://i.imgur.com/59Ew8vJ.jpg

edit:click the links please. The forum software cropped the quality of the photo.
 

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Last edited:
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I cannot read the problem statement. If I blow it up large enough to be read it is just a blur.
 
haruspex said:
I cannot read the problem statement. If I blow it up large enough to be read it is just a blur.
fixed problem
 
ehf said:
fixed problem
The linked image is hardly any better. Why not take a closer shot instead of leaving all that whitespace?
 
pf prob.png


That's the best I can do with computer enhancement .

I could not do much with the other image .
 
Nidum said:
View attachment 204449

That's the best I can do with computer enhancement .

I could not do much with the other image .
Much better. I concur with both answers.
 
haruspex said:
Much better. I concur with both answers.
Nidum said:
View attachment 204449

That's the best I can do with computer enhancement .

I could not do much with the other image .
The imgur link should be just fine. I can read it on all magnification. The server cropped the displaying image whatever i did
 
@ehf . We understand the question now .

This type of problem comes up frequently and once you understand one simple principle solving these problems becomes easy and usually requires little calculation .

Consider a square plate with a round hole in it - do you think that the hole gets larger or smaller in diameter when the plate is heated ?
 
Last edited:
smaller because of expansion @Nidum
(i have an exam coming up so i may not access frequently...)
 
  • #10
Nidum said:
Consider a square plate with a round hole in it - do you think that the hole gets larger or smaller in diameter when the plate is heated ?

ehf said:
smaller
I must be missing something.
My reading of the answer to a) at the link, messy as it is, is that the gap increases, which is correct.
@Nidum's post #8 implies that at some point in @ehf's posts it is stated that the gap will shrink, but I cannot find such.
In response to the direct question from Nidum, ehf says that a gap would shrink.
@Nidum, what made you suspect ehf would answer wrongly?
 
  • #11
I was working towards explaining the basic physics of expansion . In particular that gaps expand in the same way as solid metal .

I was still having difficulty reading ehf's writing when I made that posting .
 
  • #12
my fault...it doesn't shrink anywhere...only stretches
well please do not use the image on the thread. imgur images are almost megabytes while the images on the forum are kilobytes
im sorry i can't convert it to text now
 

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