OK, I am risking looking a bit ridiculous here, but I'll ask anyways, one learns from errors.
With the current cars having an RPM limit, the car can only go as fast as the longest gear will allow, and we see current F1 cars hitting this rev limiter all the time, and I think then hitting top speed. Many slipstreams seem to be aborted simply for this reason.
So, for so many engine RPMs, the gear makes sure that the wheel makes so many revolutions (per minute, per second, per hour, whatever), and this many revolutions times the circumference of the tyre translates into so many meters (meters per second of kilometers per hour, same same).
Logically it would follow that a worn out tire, with less rubber, also has less circumference, and the the top speed would be reduced accordingly.
This sounds weird, though...
Am I right? Am I completely wrong? Why?