Torque: Understanding Direction & Significance

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    Torque
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Discussion Overview

The discussion revolves around the nature and significance of torque as a vector, particularly its direction and relationship to the axis of rotation. Participants explore theoretical aspects of torque, its representation, and the conventions used in defining its direction.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant states that torque is expressed as a vector perpendicular to the lever, with its direction determined by the right hand rule, questioning the significance of this direction.
  • Another participant explains that the direction of torque aligns with the axis of rotation, noting that the association of vector direction with spin direction is a matter of convention, similar to the choice between right-handed and left-handed screws.
  • A third participant asserts that the direction of torque simply signifies the direction of torque itself.
  • Another participant emphasizes that the torque vector represents the axis and is distinct from a force vector, suggesting that introducing a circular force vector would complicate the understanding of torque.

Areas of Agreement / Disagreement

Participants express varying interpretations of the significance of torque's direction, with some agreeing on its representation alongside the axis of rotation while others emphasize its conventional aspects. The discussion remains unresolved regarding the deeper implications of torque's direction.

Contextual Notes

Participants do not fully explore the implications of defining torque in terms of conventional rules, nor do they address potential limitations of their explanations regarding the nature of torque and its relationship to force.

csrichie
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When expressing torque as a vector, it is perpendicular to the lever (the exact direction is determined by the right hand rule).

But why is it so? this vector can not be a force vector since the angular force that causes the rotation is the force produced to the lever. So what does the direction of the torque signify?
 
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the direction of torque, like the direction of rotation is such a direction that lies alongside the axis of rotation. spin it in one direction and the torque or rotation vector lies alongside the axis pointing one way, spin the other sense and the vector lies alongside the axis pointing the opposite way. which direction of vector that gets associated with which sense of spin is only a matter of convention. just like right-handed threaded screws vs. left-handed threaded screws. they had to pick one and the right hand rule was picked over the left hand rule.
 
The direction of torque signifies just that- the direction of torque.
 
The direction of a torque vector is the axis. It's not a force vector. You'd need to invent the concept of a circular force vector to deal with torque, which would be messy. Using left or right hand rule, the vector direction is the same as the axis of the circular force vector.
 

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