Answer
$\frac{\pi}{18}\ rad/sec$
Work Step by Step
Given $s=\frac{8\pi}{9}\ m, r=\frac{4}{3}\ m, t=12\ sec$, we have $\omega=\frac{s}{r t}=\frac{\frac{8\pi}{9}}{\frac{4}{3}\times12}=\frac{\pi}{18}\ rad/sec$
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