Angular Velocity: What's the Difference between Horizontal and Vertical Circles?

AI Thread Summary
Angular velocity is considered a scalar quantity, meaning there is no inherent difference between horizontal and vertical circles when viewed this way. However, as a vector, angular velocity points along different axes depending on the orientation of the circle; for example, it points along the z-axis for a horizontal circle and along the x-axis for a vertical circle. The discussion also touches on the conservation of energy, noting that in vertical circular motion, energy conservation principles apply differently than in horizontal motion, where angular velocity remains constant. The need for clarity in defining "horizontal" and "vertical" circles is emphasized, particularly in the context of angular velocity. Understanding these distinctions is crucial for applying the concepts in physics accurately.
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Can someone please explain the difference in Angular Velocity for a Horizontal and a Vertical circle? :confused:
 
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If you view it as a scalar quantity, there is none. Just by relabeling the x, y and z axis you can always get the circle to lie in the (x, y) plane and make it "horizontal". If you view the angular velocity as a vector, the difference will be that it points along one axis ("z") in one case and along another (e.g. "x") in the other.

So what exactly do you mean by "horizontal" and "vertical" circle, how do you define angular velocity and how would it be different?
 
I'm thinking of it in terms of conservation of energy. I believe Motion in a vertical circle, conservation of energy applies. In a horizontal v=(omega)r and omega is constant.

Can anyone explain this theory further?
 

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