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How does linear movement of a rotating system effect the angular acceleration of that system if the system is moving left to right and rotating clockwise as it slides linearly?

Ex.

How will the stride of a hitter whose axis/spine slides forward (toward the pitcher) effect the angular acceleration of his hands as opposed to the angular acceleration experienced by a hitter's hands whose axis is fixed? I know from experience that the hitter with the fixed axis has more bat speed but would love to know the formula(s) that supports the math behind the idea. Unfortunately, when I tried to explore the answer on my own, the math was beyond my coursework. Thanks in advance for any help!!