What is the relationship between Torque and Energy?

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Discussion Overview

The discussion centers around the relationship between torque and energy, specifically exploring a formula that relates energy to torque and the angle covered. Participants seek to clarify and derive this relationship, touching on concepts of force and distance in the context of rotational motion.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant references a relation from Wikipedia stating that energy equals torque multiplied by the angle covered and requests a derivation.
  • Another participant suggests that energy can be expressed as force times distance, linking torque (force times radius) to this concept by stating that the radius multiplied by the angle covered results in a distance, thus supporting the energy equation.
  • A third participant agrees with the previous explanation but does not add further detail.
  • A later reply questions whether the original poster is familiar with radian angle measurement, implying that this may affect their understanding of the relationship.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the relationship or its derivation, and there are multiple viewpoints regarding the understanding of the angle measurement involved.

Contextual Notes

The discussion does not clarify the assumptions regarding the definitions of torque, energy, or the angle measurement, nor does it resolve the mathematical steps involved in deriving the relationship.

Rising_Hg
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I was reading about Torque on Wikipedia (http://en.wikipedia.org/wiki/Torque" ).

There was this relation given :

Energy = Torque * Angle covered.
Can anybody explain me how or show the derivation ?

- Rising_Hg
 
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i didnt even know that relation existed but i can give it a shot.

Energy is force x distance. So you have torque, which is force multiplied by radius. radius multiplied by angle covered is going to be a distance. So there is force x distance. which is energy.
 
dacruick said:
i didnt even know that relation existed but i can give it a shot.
Yep, that's it.
 
Perhaps the OP is not familiar with radian angle measurement. Is this the case Rising_Hg?
 

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