That's not a paradox. He'll pass the tortoise in about 2 minutes.
A paradox is this:
Achilles needs to go to the bathroom. The bathroom is 100 meters away. He walks halfway there, and has 50 meters left, he walks halfway and has 25 meters left, he walks halfway and has 12.5 meters left, etc. etc. etc.
He walks halfway there infinitely and can never reach it.
Of course, that's assuming he can only walk halfway, and can't just jump the last nanometer.
The spinning record doesn't mess with my head. It's just rotational velocity. The rotational velocity (rpm) is the same at any point on the record, but the linear velocity will be different at every distance from the center. Luckily my turntable can handle this and play my music.












