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A Uniform Solid Sphere of Mass M and Radius R

question 5

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A uniform solid sphere of mass M and radius R rotates with an angular speed ω about an axis through its center. A uniform solid cylinder of mass M, radius R, and length 2R rotates through an axis running through the central axis of the cylinder. What must be the angular speed of the cylinder so it will have the same rotational kinetic energy as the sphere?


Definitions:

Vegetable Oils

Edible oils extracted from plants' seeds, fruits, or other parts, widely used in cooking and food preparation.

Hydrolysis

A chemical reaction involving the breakdown of a compound by water, leading to the separation of molecules.

Requires Water

Pertains to processes, organisms, or reactions that need water to function or occur.

Hydrolysis

A chemical process that splits molecules by adding water, commonly involved in breaking down polymers into monomers.

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