What happens to angular velocity when there is no force of acceleration?

[chloechloe]

I am trying to answer a question, but I don't really understand what is being asked.
If you were to plot angular velocity against time and there was not force of acceleration explain what the curve would look like.

I would guess a straight horizontal line since angular acceleration is the slope of the line. I don't really understand the question.

 

[LowlyPion]

I am trying to answer a question, but I don't really understand what is being asked.
If you were to plot angular velocity against time and there was not force of acceleration explain what the curve would look like.

I would guess a straight horizontal line since angular acceleration is the slope of the line. I don't really understand the question.

Welcome to PF.

Looks like you understand the question OK.

If there is no forces on the system, then no acceleration and no change in rate of displacement as per Newton's First Law.

 

[nlightner]

The curve of angular velocity against time would indeed be a straight horizontal line if there is no force or acceleration acting on the object. This is because according to Newton's First Law of Motion, an object will continue to maintain its state of rest or uniform motion in a straight line unless acted upon by an external force. In this case, the object is not experiencing any external force or acceleration, so it will maintain a constant angular velocity. This also means that the object's inertia, or resistance to change in motion, is at play in this scenario. I hope this helps to clarify the concept of angular motion and inertia.