I know that the SI unit of angular velocity is $s^{-1}$ (because radians or angle measure is dimensionless). I encountered a question that said:
Given angular velocity = $12 \, s^{-1}$ and angular acceleration = $6\,s^{-2}$.
I have never had a question with this kind of unit. Usually units such as rad/s, deg/s, rpm, revolutions/s (angular velocity) are encountered but this question does not have a measure of angle attached.
I think it can be interpreted as any of this rad/s, deg/s or etc. One of colleague said:
If it's $s^{-1}$ it means it is $1\,\text{rad}\cdot s^{-1}$.
Is my colleague right? Is the question incomplete or I am missing something here?
