For 5.25" floppy drives:
The Shugart SA400 had a 40ms track to track time.
http://www.swtpc.com/mholley/SA400/SA400_Datasheet.pdf
That was a _really_ horrible design. Whoever came up with it needs to be
shown the clue-by-four....
Anything much faster than that would have "popped
the needle out of the
groove" of the SPIRAL (NOT HELICAL) flat disk positioner (designed like a
record (NOT "record" as in a file, but record as in ancient sound
recording)
Actually an _ancient_ sound recording might well be a helical track
(think 'wax cylinder' or similar).
-tony