A wheel with a rotational inertia of \( 0.50 \mathrm{~kg} \cdot \mathrm{m}^{2} \) about its cent...

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A wheel with a rotational inertia of \( 0.50 \mathrm{~kg} \cdot \mathrm{m}^{2} \) about its central axis is initially rotating at an angular speed of \( 15 \mathrm{rad} / \mathrm{s} \). At time \( t=0 \), a man begins to slow it at a uniform rate until it stops at \( t=5.0 \mathrm{~s} \). By time \( t=3.0 \mathrm{~s} \), how much work had the man done?
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