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A thin rod has a length of \( 0.25 \mathrm{~m} \) and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of \( 0.32 \mathrm{rad} / \mathrm{s} \) and a moment of inertia of \( 1.1 \times 10^{-3} \mathrm{~kg} \cdot \mathrm{m}^{2} \).
A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (mass \( =4.2 \times 10^{-3} \mathrm{~kg} \) ) gets where it is going, what is the angular velocity of the rod?
(A) \( 1.32 \mathrm{rad} / \mathrm{s} \)
(B) \( 0.26 \mathrm{rad} / \mathrm{s} \)
(C) \( 0.93 \mathrm{rad} / \mathrm{s} \)
(D) \( 1.66 \mathrm{rad} / \mathrm{s} \)
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