Answer
$w=\frac{3\pi}{32}$ radians per second
Work Step by Step
Step 1: The formula to be used here is $w=\frac{\theta}{t}$.
Step 2: After substituting the values of $\theta$ and $t$ provided by the question into this formula, the equation becomes $w=\frac{\frac{3\pi}{4}}{8}$
Step 3: $w=\frac{3\pi}{4}\times\frac{1}{8}$
Step 4: $w=\frac{3\pi}{32}$ radians per second