• ... of ... If this is merely a maths question, just find the surface of the oceans, then the thickness of the layer of water of volume 1 km^3 I think we are
Message 1 of 5 , Jul 1, 2005
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--- In mathforfun@yahoogroups.com, "cooperpuzzles"
<cooperpuzzles@y...> wrote:
> How many centimeters would the oceans rise if one cubic kilometer
of
> ice melted from the Arctic, north polar, icecap?
>
> John

If this is merely a maths question, just find the surface of the
oceans, then the thickness of the layer of water of volume 1 km^3
I think we are then talking micrometres rather than centimetres.

If you want an environmental answer, you have to consider why the ice
melted.

I understand the rise in sea levels has far more to do with the water
(of the oceans) expanding due to a rise in temperature rather than
the mere melting of the ice cap that may result from the rise in
water temperature.

I suppose there is also the question of whether ONLY 1 cubic km of
ice would melt. I suspect there may be far more than that melt/re-
freeze every summer/winter. Indeed the melting at one pole may
be 'matched' by freezing at the other pole.

Peter
• I don t think they d rise a whole lot. Firstly, assume that the density of ice equals the density of water. Then the volume of ice below the surface of the
Message 2 of 5 , Jul 1, 2005
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I don't think they'd rise a whole lot. Firstly, assume
that the density of ice equals the density of water.
Then the volume of ice below the surface of the ocean
would not effect the surface (in terms of rising or
falling) when it melts; it would just be the top, the
ice that's not submerged.

Secondly, ice *is* less dense than water; so when it
melts, it doesn't take up as much room and therefore
the surface falls.

So the overall rise is equal to how much the water
level rises when the supermarine(?) ice melts minus
how much the water level falls when the submarine ice
melts. Now... what's the chances that value equals
zero???

-------------

A completely different way of looking at this is
considering this: how much would the world's oceans
rise if you melted a load of ice and poured it in? But
remember, this ice (if we consider it as separate
water from the liquid water that comprises the oceans)
is already responsible for the rise in the oceans if
that ice weren't originally there in the first place.
Confused? So am I.

--- cooperpuzzles <cooperpuzzles@...> wrote:

> How many centimeters would the oceans rise if one
> cubic kilometer of
> ice melted from the Arctic, north polar, icecap?
>
> John
>
>

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• ... Probably John s point is that the north polar icecap floats on the Arctic Ocean, so its melting doesn t affect sea level. (The ice already displaces its
Message 3 of 5 , Jul 1, 2005
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--- In mathforfun@yahoogroups.com, "Peter Otzen" <pmaxotzen@h...>
wrote:
> --- In mathforfun@yahoogroups.com, "cooperpuzzles"
> <cooperpuzzles@y...> wrote:
> > How many centimeters would the oceans rise if one cubic kilometer
> > of ice melted from the Arctic, north polar, icecap?
> >
> > John
>
> If this is merely a maths question, just find the surface of the
> oceans, then the thickness of the layer of water of volume 1 km^3
> I think we are then talking micrometres rather than centimetres.
>
> [snip]
>
> Peter

Probably John's point is that the north polar icecap floats on the
Arctic Ocean, so its melting doesn't affect sea level. (The ice
already displaces its weight in sea water.) Naturally, the same is not
true of ice on land, say in Greenland or Antarctica.

• In a message dated 7/1/2005 2:50:16 AM Eastern Standard Time, ... Isn t the Arctic icecap all floating? So even if *all* of that icecap melted, there would be
Message 4 of 5 , Jul 1, 2005
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In a message dated 7/1/2005 2:50:16 AM Eastern Standard Time,
cooperpuzzles@... writes:

> How many centimeters would the oceans rise if one cubic kilometer of
> ice melted from the Arctic, north polar, icecap?
>
> John
>

Isn't the Arctic icecap all floating? So even if *all* of that icecap
melted, there would be no change at all in the level of the oceans. So the answer
is zero.

stevo

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