Hole in an aluminium plate and that plate is heated

In summary, the conversation discusses the thermal expansion of an aluminum disk and hole placed on a hot plate. The person believes that the radius of the hole should decrease, but the book states that it will increase. The conversation then presents five options for what will happen when the disk is placed back in the hole after being heated. Option 1 and 2 state that the disk and hole will contract or expand together, respectively. Option 3 suggests that the disk will expand while the hole contracts, making it impossible to put the disk back in. Option 4 proposes that the disk will contract while the hole expands, allowing the disk to be placed loosely in the hole. The conversation assumes an infinitely thin saw was used for the cut.
  • #1
Inderjeet Singh1208
4
1
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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  • #2
Why do you think the hole should decrease?
 
  • #3
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.
 
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FAQ: Hole in an aluminium plate and that plate is heated

1. What causes a hole to form in an aluminium plate when it is heated?

When an aluminium plate is heated, the molecules in the plate gain energy and begin to vibrate more rapidly. This increased vibration can cause the molecules to expand, creating small gaps between them. As the plate continues to heat up, these gaps can grow larger and eventually create a hole in the plate.

2. Can the size of the hole in an aluminium plate be controlled?

Yes, the size of the hole in an aluminium plate can be controlled by adjusting the temperature and duration of the heating process. Higher temperatures and longer heating times will result in larger holes, while lower temperatures and shorter heating times will result in smaller holes.

3. Why does the hole in an aluminium plate sometimes appear to be uneven or jagged?

This is due to the uneven distribution of heat in the plate. The molecules in the hotter areas will expand more and create larger gaps, while the molecules in cooler areas will expand less and create smaller gaps. This results in an uneven or jagged hole in the plate.

4. What is the effect of the thickness of the aluminium plate on the size of the hole?

The thickness of the aluminium plate will affect the size of the hole because it determines the amount of material available for expansion. Thicker plates will have more material to expand, resulting in larger holes, while thinner plates will have less material to expand, resulting in smaller holes.

5. Is it possible for an aluminium plate to be heated without forming a hole?

Yes, it is possible for an aluminium plate to be heated without forming a hole if the temperature and heating time are carefully controlled. Additionally, using a thicker plate or a different type of metal with a higher melting point can also prevent the formation of a hole.

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