Building a "strobe" is just a matter of putting an LED, some diodes, a resistor, and (optionally) a transformer together.
The idea is that the LED reaches peak brightness (and darkness) at twice the line frequency, just as ye olde fluorescent tubes did. (Or: Skip the extra diodes and have it work at 1x line frequency. I'm not your boss.)
After that, just print a strobe disc and use it.