Is the Magnus Force Equation Related to the Drag Coefficient?

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Chemical Bros
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Hey everyone,

I was researching the magnus force and came upon the equation being:

Fm= S(w x v)

where S is the air resistance coefficient and (w x v) is the cross product of the angular velocity and the velocity of the object.

Well my question is that if the drag coefficient is:

Cd= (2Fd)/[(p)(v^2)(A)]

then couldn't you just sub in Cd for S? I'm assuming they are the same thing...Thanks
 
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