hello,
To define RPM, is not so easy because many other parameters enter in final results.
What is your mechanical design ?
How many leds ?
Size of matrice of characteres ?
Fixed message, or scrolling message ....
... clock of microcontroller
at least software treatment .
You want to use all circonference or only a view angle ?
Persistance of vision is linked to the duration of illumination .. an brain reaction.
supose you have a circle of 1m of diametrer and led situation at the border of circonference,
Necessary RPM will not be the same as if you have a diameter of 10 cm
because linear speed is important to define How long time you will see the leds
and memorize what you brain has record..
If you start from scratch, you will have a lot of work, but very interessting and instructive.
you can see on my webpage an example of POV clock ,not based on RPM, but on Oscillations.
Frequency of oscillation is not so high to obtain some results.