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Secondly, I understand that the Reynolds number is calculated accordingly;

R=V*L/μ

where V is velocity, L is a lenght scale, and μ is dynamic viscosity divided by the density.

Would L euqal the radius in my scenario?

Furthermore, from what I can gather, the relationship between the Reynolds number and the drag coefficient can only be confirmed experimentally, and therefore, I have no way of finding a solution analytically.

Thank you for considering this problem