"Dr J R Stockton" wrote in message
nvalid...
In sci.math message
oglegroups.com, Sat, 31 Dec 2011 22:49:23, STJensen
posted:

Let us say that you had a 62,000-mile-long Earth-anchored space
elevator and let us say it has an electro-magnetic repulsion
accelerator along its entire length. If you were to accelerate a
human so that he experienced only 2g (twice the force of gravity)
during the entire length of the space elevator, what velocity would
that human be expelled from the space elevator and how long would it
take the human to travel the entire length?

Since the elevator cable cannot be infinitely rigid, and will in
practice be quite flexible, one will need to consider the effect of the
sideways forces on its shape - unless the mass of a shortish length of
the cable is large in comparison with that of your human and his
accessories.

Really good point. And the Earth is rotating so the cable must rotate with the
same angular speed as the Earth. So, to do this calculation properly requires
consideration of tangent speeds, tangent acceleration (tangent to the cable for
those) and so forth.

_