You have to think about real world mechanics + trigonometry.
The seconds pointer travels 60 ticks in one go around, because it counts 60 seconds. The same thing for the minutes pointer, which counts 60 minutes.
So for both of them, for each lap or 2pi(360°) we have 60ticks
, therefore we have 1/30 pi per ticks(minutes/seconds).
Now the hour clock travels in 12 large chucks, since it counts 12 hours in the whole go around(360°).
So for that, it has 2pi for the whole 12 sections
, or simply 1/6 pi per hour.
Visual example:
2π.....60 (min or s)
X.....1 (min or s)
X= 1/30 π/(min or s)
2π.....12h
Y......1h
Y=1/6 π/h
That's the math I know. :smile: