What is this formula for?/What is it called?

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Discussion Overview

The discussion revolves around the interpretation and application of a specific formula, S*r=1/2*m*r^2*a/r. Participants are exploring its relevance to concepts such as torque, moment of inertia, and angular acceleration, with an emphasis on understanding the components of the formula and its potential applications in physics.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant presents the formula and expresses uncertainty about its purpose, suggesting it may relate to inertia and tension in a coiled wire scenario.
  • Another participant notes that the variable r cancels out, implying a simplification in the formula.
  • A participant proposes that S*r represents torque, while the right side of the equation corresponds to inertia times angular momentum, although they remain uncertain.
  • Another participant agrees with the interpretation of the formula as relating torque to moment of inertia and angular acceleration, providing specific definitions for each variable involved.

Areas of Agreement / Disagreement

Participants generally agree on the interpretation of the formula relating to torque and moment of inertia, but there is still uncertainty regarding the specific application and derivation of the formula.

Contextual Notes

There are unresolved assumptions regarding the definitions of the variables and the context in which the formula is applied, as well as the derivation of the equation itself.

Who May Find This Useful

Individuals interested in the relationships between torque, moment of inertia, and angular acceleration in physics may find this discussion relevant.

Latsabb
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I have a formula, S*r=1/2*m*r^2*a/r

The problem is that it is unlabeled, and I am not 100% sure what this is supposed to be for. As near as I can tell, it is for something with inertia, and involving tension on a wire coiled around a cylinder. Is this correct? Does anyone know if this is simply a derived equation for a specific problem, or a general use equation? Thank you.
 
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r cancels out.
 
I know, but this is a formula that was supplied for a problem, and I am attempting to figure out what everything is. I think I have it narrowed down that S*r is supposed to be torque, and everything else on the right is supposed to represent inertia times the angular momentum, but I am not sure.
 
You are on the right track, I see it as torque = (moment of inertia) x angular acceleration.
S is force, r is radius, 1/2 m rsq is moment of inertia, and a is linear acceleration, a/r is angular acceleration.
 

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