Calculating S Using Fm in a Magnus Force Equation

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SUMMARY

The discussion focuses on calculating the air resistance coefficient (S) in the Magnus force equation, represented as Fm = S (w × v). Here, Fm is the Magnus force vector, w is the angular velocity vector, and v is the velocity of the fluid or object. Participants emphasize the importance of rearranging the equation to isolate S for accurate calculations. Understanding the relationship between these variables is crucial for applications involving the Magnus effect.

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  • Understanding of vector mathematics
  • Familiarity with fluid dynamics concepts
  • Knowledge of angular velocity and its implications
  • Basic algebra for rearranging equations
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Physicists, engineers, and students studying fluid dynamics or sports science who are interested in the mathematical modeling of forces acting on rotating objects.

dirtybageled
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what is s in this equation and how what equation do I need to figure out what S is
Fm = S (w × v)

Where:
Fm =the Magnus force vector

w= angular velocity vector of the object

v=Velocity of the fluid (or velocity of object, depends on perspective)

S= air resistance coefficient across the surface of the object
 
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learn to rearrange the subject of the equation to S.
The magnus effect might be because of inertia.
 

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