# String tension

1. May 4, 2006

### arivero

Consirer a rod rotating about one of its extremes such that the other extreme rotates at lightspeed. The centrifugal force at this extreme is
$$F \propto M \omega c$$

where M is the rest mass and w the angular speed. If the rod were a flexible one we should call it a string, it could vibrate around to keep the stress constant, and this stress (the string tension) should be equal to the Force above, so I wonder if the above formula apears also in strings.

If it does, then the string tension imposes a relationship
$$\omega \propto M^{-1}$$
Does it?