Derivation of formula for capillary action

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Discussion Overview

The discussion revolves around the derivation of the formula for capillary action, specifically the height to which a liquid rises in a capillary tube, expressed as 2S cosθ / ρgR. Participants are seeking a detailed derivation and clarification of the underlying forces involved, including adhesive forces, surface tension, and the contact angle θ.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests a derivation of the formula for capillary action, expressing uncertainty about how to calculate the adhesive force that pulls the liquid up the tube.
  • Another participant emphasizes the importance of receiving at least one reply to their request for help.
  • A third participant provides a link to a resource, suggesting it may contain helpful information regarding surface tension and capillary action, but does not offer a detailed explanation.
  • A fourth participant shares another link to a different resource that discusses capillary action, indicating that a brief search can yield useful information.

Areas of Agreement / Disagreement

There is no consensus on the derivation of the formula, as participants express varying levels of engagement and assistance, with some providing links instead of direct answers. The discussion remains unresolved regarding the specific derivation sought.

Contextual Notes

Participants have not clarified specific assumptions or definitions related to adhesive forces or surface tension, which may affect the derivation process. The discussion lacks detailed mathematical steps that could lead to a complete understanding of the derivation.

jd12345
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the height upto which liquid rises in capillary tube is 2S cosθ / ρgR
I need a derivation for this - please
I know that a combination of adhesive force , surface tension and weight creates the contact angle θ but how to proceed after that?
To calculate height h i need to know the force by which tube is pulling the liquid(adhesive force) but how can i know that?

Its really important for me to know the derivation so please help me
 
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Likes   Reactions: Siddanagoud Bagali
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Cmon - please, even a single reply would help me a lot
 

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