Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Rotational Motion
Work and Power
Angular Kinematics

Formulas

Moment of inertia for a hoop: I = m * r^2
Angular velocity: ω = (2 * π * rotations per minute) / 60
Work done: W = 0.5 * I * ω^2
Power: P = W / t

Theorems

Work-Energy Theorem

Suitable Grade Level

Undergraduate Physics