if a spherical iron ball has a concentrated hole in the middle.After heating what happens to the hole.?

Question

the hole expands or contracts or will it remain the same.(the ball will undergo cubical expansion). but what about the hole running geometrically through the middle.

Answer 1

The hole will get bigger.

Another way to think of a similar problem is consider an iron bar rolled into a ring. The bar will get a little thicker as it heats, but the primary direciton of expansion is along the length of the bar making the hole in the ring bigger.

An equation for thermal expansion is: dx = c*x.
where dx is the change in length, c is a coefficient of thermal expansion and x is the current length. Since the amount of expansion is proportional to its current size, it expands the most in the dimension which is currently the longest, which reiterates the point in the last paragraph about the bar getting longer faster than the bar getting thicker.

Answer 2

well the answer depends on how you look at it. As the ball expands, the size of the hole will expand as well. BUT in proportion to the expansion of the ball.

So in perspective the hole does not get bigger in proportion to the ball. meaning that if the ball expands (say 2% in size) the hole will expand by the same 2% amount. It does not mean that if you looked at the cross section, that the hole would seem to be larger.

to think of it another way, say you have a nut and bolt, if you heat the nut you can screw the bolt in easier because the nut has expanded. But in doing so the hole in the nut has also expanded. But to look at it, it doesn't look like the hole is bigger because the expansion of both is proportional to each other.

so to answer your question more definitely, the hole does in fact expand.

Answer 3

First, you mean CONCENTRIC, not concentrated, I suppose. Second, the hole will expand in just the same proportion as the ball. Easy to understand if you imagine the rest of the sphere (the solid part) expanding as it should.

And, the size and shape of the "ball", nor those of the hole and its positioning in the solid body, make any difference. All holes in a solid body expand or contract precisely the same way as the solid part it self.

Answer 4

The hole expands. Simplify it. A bar expands. Bend the bar into a loop. As the "bar" gets longer, the inner circumference gets longer, so the hole expands.

Answer 5

The hole shall get enlarged due to expansion. Though expansion shall be towards the center also, due the lesser restriction for expansion outwards, the hole will get relatively larger.

Answer 6

let's imagine somebody dug a hollow in the process the north pole to the south pole. after which you dropped a iron ball from the north pole then the ball will commute to the middle of the earth the place the tempreture is 5000 degree celsius, i think of the ball might soften. if we assume the middle is colled if so the iron ball might execute SHM (straightforward harmonic action) retaining the centre because of the fact the mean place. it is extremely like a pendulum does circulate backward and forward from one pole to a various retaining the middle because of the fact the mean ingredient and after it looses all of its power it is going to come to relax on the middle of the earth.

Answer 7

the molecules will have more energy and want to have more distance. so the hole will be bigger than before.

Answer 8

according to caculation it seems that it should shrink.