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I am trying to make a POV globe and my block diagram is the following: enter image description here

The goal was to make one without using microcontrollers and using basic components available. My main query is that :

What would be the refresh rate of LEDs between different states and how to calculate a particular value so as to sync it with the rotating ring?

vortex_sparrow
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The title is much more clear than the question. You need a sensor that will output a strobe each time the angle is 0. There are proximity sensors or photointerrupters, all kinds of sensors. Then having a strobe do whatever you want in electronics.