Conservation of Angular Momentum diagram

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Discussion Overview

The discussion revolves around the interpretation of a diagram from the Wikipedia page on the Coriolis effect, specifically whether it illustrates the Coriolis effect or the conservation of angular momentum. Participants explore the distinctions between these concepts and their implications in a rotating reference frame.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant asserts that the diagram demonstrates the conservation of linear momentum rather than the Coriolis effect, emphasizing the distinction between inertial and rotating reference frames.
  • Another participant interprets the diagram's caption as indicating that the observer perceives the object following a curved path due to Coriolis and centrifugal forces, suggesting a misunderstanding of the diagram's intent.
  • A later reply elaborates on the mechanics involved, proposing that the observer's higher linear velocity causes the ball to appear to curve, thus linking the Coriolis effect to the twisting of the reference frame rather than linear velocity alone.
  • One participant introduces a paper they believe clarifies the concepts discussed, indicating a potential resource for further exploration.

Areas of Agreement / Disagreement

Participants express differing views on whether the diagram illustrates the Coriolis effect or conservation of linear momentum, indicating that multiple competing interpretations remain unresolved.

Contextual Notes

Participants highlight the need for clarity regarding the definitions and implications of the Coriolis effect and conservation principles, suggesting that assumptions about the observer's frame of reference and the nature of forces involved may not be fully addressed.

pwn01
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Does the first diagram in the Wikipedia page: https://en.wikipedia.org/wiki/Coriolis_effect (that of the ball rolling on a rotating disk) properly illustrate the Coriolis effect or does it simply illustrate the conservation of angular momentum. I understand that these are two different principles.
 
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No, it demonstrates the conservation of linear momentum. The Coriolis effect is what is observed from a rotating reference frame. So if something is moving in a straight line in an inertial frame of reference it will appear to move in a circle in a rotating frame.
 
Here is a quote from the caption "the observer. . . .sees the object as following a curved path due to the Coriolis and centrifugal forces present in this frame." So I gather from what your saying that the diagram does not actually illustrate the effect of the Coriolis "force" as indicated but rather the conservation of linear momentum. In other words, the observer is necessarily moved away from the ball because he has a higher linear velocity than the ball. The ball has a lower linear velocity because it started closer to the axis of rotation and does not acquire the velocity of the greater radius as it travels because this example is frictionless. The ball then actually falls behind and so appears to the observer to curve in its path. If I understand correctly, the Coriolis effect describes the phenomenon of the twisting of the reference frame below the object at any given point and the consequent change in its direction relative to the frame of reference. This has nothing to do with velocity (speed) and can be observed with a spinning mass gyroscope positioned correctly although it has no linear velocity, but does have inertia due to the spinning mass. Correct?
 

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