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[tex]F_{m}=\frac{2\pi^2 \rho\ \omega vr^4} {2r}[/tex]

is it right? so I could say:

[tex]F_{m}=\pi^2 \rho\ \omega vr^3 [/tex]

But which is the velocity it refers? and, how can I relate it to v(t) and x(t)?

Could somebody explain it to me, and how to calculate position adding the magnus force?

Thank's for reading!