Theoretical Rotational-Linear Kinetic Energy Ratio of Spherical Projectile

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The discussion centers on determining the theoretical ratio of rotational kinetic energy to linear kinetic energy for a spherical projectile, specifically under conditions of forward spin without the Magnus effect. Participants express uncertainty about establishing a fixed ratio, noting that the projectile's motion could vary widely between pure translation and pure rotation. The conversation highlights the need for additional constraints or parameters to provide a meaningful answer. The inquiry is part of a broader investigation into calculating theoretical values for spin and velocity in a pitching machine setup. Overall, the challenge lies in the complexity of the projectile's motion dynamics.
anmanc
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For my investigation regarding the aerodynamic forces on a spherical projectile, I really need to know the theoretical ratio of rotational kinetic energy to linear kinetic energy of a spherical projectile (assuming the only spin is forward spin and there is no Magnus effect).

Can someone please help me out?
 
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Why would it be constrained to any particular ratio? It could be translating with no rotation, or it could be rotating with no translation, or any combination of the two. Unless you have additional information which constrains the projectile's motion in some way, this isn't really answerable.
 
I'm not really sure. Thanks for your help, this was just another attempt at finding a method to calculate theoretical values for the rate of spin and velocity of a ball launched out of a pitching machine consisting of two variably rotating wheels.
 

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