Answer
$w=6$ radians per sec
Work Step by Step
Step 1: The formula to be used here is $v=rw$.
Step 2: After substituting the values of $v$ and $r$ provided by the question into this formula, the equation becomes $18=3\times w$
Step 3: Multiplying both sides by $\frac{1}{3}$,
$18\times\frac{1}{3}=3\times w\times\frac{1}{3}$
Step 4: $w=6$ radians per sec
