Question 330722
you want to change rev/min to radians/sec

You are given
5000 rev/min

so you need to multiply by factors that cancel the units in such a way to end up with radians/sec

5000 rev/min * (2*pi radians/rev)*(1 min/60 sec) = 5000*2*Pi/60 rev/rev*min/min*radians/sec =5000*2*Pi/60 radians/sec
as you can see the units cancel out leaving radians/sec which is what you want.