Rotational Kinetic Energy: a Uniform Solid Sphere of Mass M

question 2

Multiple Choice

Rotational kinetic energy: 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:

Atmospheric Pressure

The pressure exerted by the weight of the atmosphere, crucial for weather patterns and breathing.

Sea Level

The average level of the surface of the ocean at any given place, used as a standard in calculating land elevation and water depth.

Hydraulic Pressure

The pressure exerted by a fluid in a hydraulic system, used to generate force and motion in hydraulic machinery and tools.

Steering Systems

Mechanisms in vehicles that allow the driver to guide and direct the direction of the vehicle.