Derivation of formula for capillary action

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SUMMARY

The formula for the height to which a liquid rises in a capillary tube is derived as h = 2S cosθ / ρgR. This derivation involves understanding the interplay of adhesive forces, surface tension, and the weight of the liquid, represented by the contact angle θ. To calculate the height (h), one must analyze the adhesive force exerted by the tube on the liquid. Resources such as HyperPhysics and SchoolPhysics provide valuable insights into surface tension and capillary action, aiding in the derivation process.

PREREQUISITES
  • Understanding of surface tension and its effects on liquids
  • Familiarity with the concepts of adhesive and cohesive forces
  • Basic knowledge of fluid mechanics, particularly capillary action
  • Ability to interpret mathematical formulas related to physics
NEXT STEPS
  • Study the derivation of the capillary rise formula in detail
  • Explore the relationship between surface tension and contact angle
  • Investigate the role of adhesive forces in fluid dynamics
  • Review experimental methods for measuring capillary action
USEFUL FOR

Students of physics, researchers in fluid mechanics, and anyone interested in the principles of capillary action and surface tension will benefit from this discussion.

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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Cmon - please, even a single reply would help me a lot
 

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