Rotational kinetic energy: A uniform solid sphere of mass M and radius R rotates with an angular speed w 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? 2w/√5 4w/5 ○ w/√√5 2w/5 √215 W
Rotational kinetic energy: A uniform solid sphere of mass M and radius R rotates with an angular speed w 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? 2w/√5 4w/5 ○ w/√√5 2w/5 √215 W
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter10: Fixed-axis Rotation
Section: Chapter Questions
Problem 63P: A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular...
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![Rotational kinetic energy: A uniform solid sphere of mass M and radius R rotates with
an angular speed w 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?
2w/√5
4w/5
○ w/√√5
2w/5
√215 W](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F297f3ac9-0b45-4f0e-a4c7-c62f78084607%2F76582afc-126e-4e7b-a2d8-4233b01783a9%2Fmg276ke_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Rotational kinetic energy: A uniform solid sphere of mass M and radius R rotates with
an angular speed w 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?
2w/√5
4w/5
○ w/√√5
2w/5
√215 W
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