Spring Constant in Hooke's Law

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Discussion Overview

The discussion revolves around the derivation and understanding of the spring constant in Hooke's Law, particularly in relation to solids. Participants explore the equation for the spring constant and its dependence on various physical properties.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant presents an equation for the spring constant, suggesting it is derived from Hooke's Law and relates to atomic properties and material characteristics.
  • Another participant questions the validity of the equation, specifically regarding the matching of units, indicating a potential issue with the formulation.
  • A third participant seeks to verify the equation's source, providing a link to a previous discussion that may contain relevant information.
  • Another participant expresses interest in understanding the factors that influence the spring constant, indicating a broader inquiry into the topic.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the validity of the proposed equation, with some expressing skepticism about its units and others seeking further clarification on the factors affecting the spring constant.

Contextual Notes

The discussion highlights potential limitations in the derivation of the spring constant, including unresolved questions about unit consistency and the need for references to support claims.

SANGEETAMILIND
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How does one arrive at the following equation to approximate spring constant for solids... using Hooke's Law
F ∝-x ⇒ F = -kx
and strain∝stress
?

k = (m/a2) × (K/ρ)½

where

k≡spring constant
m ≡ mass of a single atom
a ≡ atomic spacing
K ≡ bulk modulus
ρ ≡ density
 
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Do you have a reference for that equation? The units don't seem to match.
 
I am searching for the factors on which spring constant depends...
 

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