A flywheel initially at rest has rotational inertia

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A flywheel initially at rest has rotational inertia 0.20 kg  ⁣⋅ ⁣m20.20\,\text{kg}\,\!\cdot\!\text{m}^2. A motor supplies a constant 1.2 N  ⁣⋅ ⁣m1.2\,\text{N}\,\!\cdot\!\text{m} torque. Exactly 4.0 s4.0\,\text{s} after the motor starts, a mechanism retracts two masses so the rotational inertia instantly decreases to 0.12 kg  ⁣⋅ ⁣m20.12\,\text{kg}\,\!\cdot\!\text{m}^2. The motor torque remains unchanged. Determine the angular speed of the flywheel 6.0 s6.0\,\text{s} after the motor first starts.

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