A thin spherical shell has a radius of 1.80 m. An applied torque of 860 N m gives the shell an angular acceleration of 6.70 rad/s2 about an axis through the center of the shell. What is the rotational inertia of the shell about the axis of rotation?Calculate the mass of the shell.

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Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 9PQ: A solid sphere of mass M and radius Ris rotating around an axis that is tangent tothe sphere (Fig....

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A thin spherical shell has a radius of 1.80 m. An applied torque of 860 N m gives the shell an angular acceleration of 6.70 rad/s² about an axis through the center of the shell. What is the rotational inertia of the shell about the axis of rotation?

Calculate the mass of the shell.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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