Answer
$\theta=2\pi$ radians
Work Step by Step
Step 1: The formula to be used here is $w=\frac{\theta}{t}$.
Step 2: After substituting the values provided by the question into this formula, the equation becomes $\frac{2\pi}{3}=\frac{\theta}{3}$
Step 3: Multiplying both sides by $3$,
$\frac{2\pi}{3}\times3=\frac{\theta}{3}\times3$
Step 4: Simplifying, $\theta=2\pi$ radians.
