[vanattab]

I don't think you could build a cable that has the tensile strength to hold a payload spinning at 27+ km/s. Even if it was made of carbon fiber I think it would have to be crazy thick and massive. Probably orders of magnitude heavier then the payload itself.

[mrfusion]

Interesting thought. I was thinking just 1.6km/s for use as a first stage replacement. With a 60km tether that works out to only 4Gs. [1]

(1) http://www.calctool.org/CALC/phys/newtonian/centrifugal