Angular Speed Physics problem-I know the answer but want to understand how to do it.

Question

What is the angular speed of the tip of the minute hand on a clock, in rad/s?

Answer 1

We know that a clock is 2pi radians (360 degrees) around because its a circle [θ = 2pi rad].

We also know that in a whole clock cycle (i.e. 1 hour of time for a minute hand) that there it takes is

1 hours * 60 min/hr * 60 sec/min = 3600 seconds [t = 3600 sec].

So to get the angular speed of the minute hand, we take θ/t = 2pi rad/3600 sec and get that

ω = pi / 1800 rad/sec