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| From: lazycat |
9/06/99
21:53:31
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| Subject: journey to the centre of the
earth |
post id:
17001
|
Here is a hairy one!!!!! IF
you could core a whole through the earth from one side to the other, and
then drop a lets say tennis ball down through it where would it stop????
Karl???
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| From: Chris W (Plebeian) |
9/06/99
22:38:11
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| Subject: re: journey to the centre of
the earth |
post id:
17008
|
Try reading here.
If you still have questions please feel free to
ask.
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| From: Martin B |
10/06/99
15:39:47
|
| Subject: re: journey to the centre of
the earth |
post id:
17263
|
Is this the
question?
So if you assume the sphere has a
temperature of 0 degrees throughout, would it necessarily follow (as that
rogue seemed to suggest) that the atmosphere inside the hole would
therefore be at STP? I can't even get my mind around a "gravity map" in
such a sphere, let alone work out how that would affect the
characteristics of the atmosphere inside the hole. But I have this hunch
that it couldn't be homogeneous.
I'll have a bash at
it...
First the "gravity map" bit. I bet you can get your head
around it - if you assume a sphere of constant density, then from the
surface to the centre the gravitational field decreases linearly. Isn't
that nice? (Yes I know the Earth is not a sphere of constant density, but
let me have my little moment here)
The second bit: What would the
pressure look like? It certainly wouldn't be uniform. The air at the
centre of the Earth would have acolumn of air above it pushing down on it
- even though there would be no net force operating on these air
molecules, there would be substantial atmospheric. As we go up the column
of air, this pressure would decrease, much as it does in the atmosphere
above the surface. STP is only STP at sea level - once you start going
upwards in the atmosphere it's no longer very S.
So what exactly
would the pressure gradient look like? In a uniform gravitational field
(which approximates the situation above the surface) the pressure falls of
exponentially with height. (Before some smartypants jumps down my throat,
if you are very close to the surface of the Earth and ignore the effects
of differing concentration of air molecules with height then the pressure
drops off linearly)
In this case however, the gravitational field
is not constant, but is increasing linearly. This means that it takes more
energy to sustain a molecule higher in the column of air, so there will be
relatively fewer there - the concentration at the centre will be greater,
so the pressure will drop off even more quickly than exponentially ie it
will still be exponential in form but with a factor of e^(-r*r) rather
than e^(-r).
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