Math Problem Statement

Consider a thin-walled hollow sphere with mass 0.400 [kg] and radius 1.10 [m]. Suppose a 9.22 [N • m] torque is applied on the thin-walled hollow sphere and it starts rotating about an axis passing through its center. What is its angular acceleration?

Solution

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Math Problem Analysis

Mathematical Concepts

Physics
Angular Motion
Torque
Moment of Inertia
Angular Acceleration

Formulas

Torque (τ) = I * α
Moment of Inertia of thin-walled hollow sphere, I = (2/3) * m * r^2

Theorems

Newton's Second Law for Rotation

Suitable Grade Level

Undergraduate Physics