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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) 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/ ω
C) 4ω/5
D) 2ω/ 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/
E) ω/ 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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