Sunday 29 September 2024

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Monday 10 July 2023

STOKES THEOREM

Today , we will see how Stokes theorem means that 

" Stirring along boundary lines will cause a whirling inside."

STOKES THEOREM

 


  • Further, we will see how integration of F.dl is the force applied along fluid boundary , i.e the force with which you are moving the spoon along the boundary.


  • Also what will happen if a bigger spoon or rod or any other bigger stirring object is used. Since Force = mass x acceleration,.... If mass of stirring object (for eg spoon) increases, what do you think will happen to the Force of curl on the other side of the equals to sign ? So bigger the spoon = more the curling Force. 
 


  • And dont forget, since Force = mass x acceleration......so, more velocity of spoon = greater curl experienced within. 


  • Further, we will see why integral of Force along dl is the right way to denote the stokes theorem and why integration of Force along dr is the wrong. 
  • Also what does  dl and dr mean.
  • Also whether Stokes theorem works for fluids only or does it work for solid powders like salt, sugar etc.


  • Finally, we will see the Applications of Stokes Theorem.


The above is an excerpt from these eBooks that i have written.
















e-book links

VISUALIZING MATH 1 e-book link

 

PDF LINK FOR VISUALIZING MATH 2
https://gum.co/visualizingmath2book

 

  

 

 

 




















My Youtube Channel Link below.

VISUALIZING MATH YOUTUBE CHANNEL.