28 Jan '17 11:24>
if you put a metal ring in an oven, will the hole in the middle become bigger or smaller?
Originally posted by robbebopThe short story is the metal does expand into the hole, but the radius of the hole grows larger at a greater rate.
Can you explain why, because I was thinking the hole would become smaller, because the metal would enlarge in the hole?
Originally posted by robbebopThe whole circumference of the ring will increase; both the circumference of its most outer edge and that of the hole and by what is called in geometry the same scale factor ( see http://www.bbc.co.uk/bitesize/ks3/maths/shape_space/transformations2/revision/2/ ) although the absolute expansion, not to be confused with the scale factor expansion, of the hole would be a bit less than that of the outer edge of the ring; which is consistent with the thickness of the ring getting greater as a result of the thermal expansion.
Can you explain why, because I was thinking the hole would become smaller, because the metal would enlarge in the hole?
Originally posted by twhiteheadWow, never thought about it that way, a very good illustation of the problem. Thank you very much!
To prove it to yourself without an actual metal ring and an oven, take a bunch of coins of two different sizes. Put the small coins in a ring and the same number of large coins in a ring. Which ring has a bigger hole? Now just imagine the coins are atoms.