From: Patrick Salsbury (salsbury_at_sculptors.com)
Date: 05/31/98
From: Patrick Salsbury <salsbury_at_sculptors.com> Message-Id: <199805310800.BAA07314@bucky.sculptors.com> Subject: Re: Domes lighter once built than their component parts? (fwd) Date: Sun, 31 May 1998 01:00:40 -0700 (PDT)
Here's one reply from my post to Geodesic about the "lighter" effect of domes.
It would hold true for hemispheres as well as spheres, but obviously, you
get more lift from the volume of a full sphere.
Pat
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> Subject: Re: Domes lighter once built than their component parts?
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> The key aspect of this 'hollowed city' scenario
> is ' volume to surface area' ratio, where the function
> of volume is the mass of the air which can be expelled
> from the hollowed interior ...(for example, due to a
> difference in density because of a difference in temperature
> between the inside and outside), and where the function
> of surface area is the mass of the occupied shell-city.
> ...That city will be ' weightless' when the mass of the
> expelled air divided by the mass of that city is equal to 'one'.
> ...The ' weightlessness' (regardless of what that city is
> composed of per unit area of shell) is dependant only on the
> 'radius' for any design density difference between inside and
> outside.
> ...Each time the diameter of an object is doubled, the volume
> increases eight times whereas the surface area only
> increases four times.
>
> --
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