A Uniform Solid Sphere of Mass M and Radius R

question 8

Multiple Choice

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?

• A) 2ω/5
• B) ω
• C) 4ω/5
• D) 2ω/
• E) ω/

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Definitions:

Competitive Industry

An industry where numerous firms compete against each other to sell similar products to consumers.

Average Total Cost

The total cost of production (fixed and variable costs) divided by the quantity of output produced.

Marginal Revenue

The augmented income obtained by selling one more unit of a good or service.

Marginal Cost

The increase in total cost that arises from producing one additional unit of output.