Hole in an aluminium plate and that plate is heated

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SUMMARY

The discussion centers on the thermal expansion properties of an aluminum plate and a circular disk cut from it. When heated, both the plate and the disk expand, leading to an increase in the radius of the hole in the plate. This phenomenon is explained by the principles of thermal expansion, which dictate that materials expand uniformly when subjected to heat. Therefore, the correct understanding is that the hole's radius increases, allowing the disk to fit loosely within it at elevated temperatures.

PREREQUISITES
  • Understanding of thermal expansion principles
  • Basic knowledge of materials science, specifically aluminum properties
  • Familiarity with thought experiments in physics
  • Knowledge of temperature effects on solid materials
NEXT STEPS
  • Research the thermal expansion coefficients of aluminum
  • Study the concept of dimensional changes in materials under heat
  • Explore real-world applications of thermal expansion in engineering
  • Investigate the effects of temperature on different materials beyond aluminum
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Students of physics, materials scientists, and engineers interested in thermal properties and their implications in design and manufacturing processes.

Inderjeet Singh1208
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Homework Statement
THere i a hole in an aluminum plate.What will happen to the hole if we increase the temperature by 100K. THe initial temp. was 300K
Relevant Equations
delta L= $*deltaT , where L=length, delta = change, $= coefficient of linear expansion and T is the temperature.
the radius of the hole should decrease from my perspective but the book says that the radius of the hole will increase. I am not able to understand why??
 
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Why do you think the hole should decrease?
 
Take an aluminum plate and cut a circular disk out of it. Place the plate and the disk side by side on a hot plate and turn it on to "High". In view of what you know about thermal expansion, which of the following makes more sense to you?

1. You will be able to put the disk back in the hole and take it out again at any temperature as both the hole and the disk contract together.
2. You will be able to put the disk back in the hole and take it out again at any temperature as both the hole and the disk expand together.
3. You will not be able to put the disk back in the hole because the disk will expand and the hole will contract.
4. You will be able to put the disk loosely in the hole because the disk will contract and the hole will expand.
5. Other (please explain) ______________________________ .

Note: Assume that you used an infinitely thin saw to make the cut. This is a thought experiment.
 
Last edited:

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