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Linear Thermal Expansion- If You Drill A Hole In The Center Of A Square Metal Plate And Then Heat

If you had a metal plate with a hole in its center, and uniformly heated it for a finite time, what will happen to the diameter of the hole?

Diameter of hole will increase.This is a classic question. Many of us "expect" that diameter of hole will decrease, because plate is free to expand in that direction as well. Note that expansion of metal due to heating is not like gas spreading out wherever space is available.Correct way to think about it is following. Hole size is irrelevant in this case. So we can think that hole is very large. If we carve hole so large such that it's radius is slightly less than that of plate itself, then we will have a ring. It is obvious that radius of ring will increase, as atoms have more energy so there oscillation amplitude will increase. As diameter of ring increases, diameter of hole will also increase.

If you drill a hole in the center of a square metal plate, and then heat the metal plate, does the hole get la?

If you drill a hole in the center of a square metal plate, and then heat the metal plate, does the hole get larger or smaller? Explain

Why do we wrap foam insulation around the thermistor lug?

Linear Thermal Expansion- If you drill a hole in the center of a square metal plate, and then heat the metal p?

It gets larger.

Because the metal expnds in all directions. Seized axles are often freed by playing a gas torch on the bearing or bush and it's housing.


Foam insulation increases the accuracy of the temperature sensor by reducing the influence of the room temperature.

A sheet of metal with a hole in the middle is heated up. Will the hole become smaller or bigger?

It may seem counterintuitive, but the hole should grow bigger. The distance between atoms grows at the hole perimeter, and the atoms outside the perimeter also have room to expand outward. The distance between atoms grows everywhere. Since the distance between atoms at the hole perimeter grows, and the number of atoms does not change, the circumference should grow. Hence the width of the hole (proportional to the circumference) also grows.

If the hole size is much larger than the interatomic distance, this is the only stable solution, since pushing atoms inward would crowd them together (not favored at higher temperature).

The "wiggly ring of atoms" solution is also unstable, and eventually becomes a larger ring of atoms, corresponding to a larger hole size.

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