How fast is the rate of "switch" for the domains to align with an exterior field? Possibly in milliseconds? I assume it won't take much time since domains are very small, and they only turn from a certain degree to another.
I know this would depend on a lot of factors, but if powerful large magnet can attract a ferromagnet with a force of nearly 4,000, brining it closer to it would take 0.005 seconds, then surely the magnetization was a lot faster than that. Since magnetization occurs before attraction.