Answer
$w=1.834$ 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 $107.7=58.74\times w$
Step 3: Multiplying both sides by $\frac{1}{58.74}$,
$107.7\times\frac{1}{58.74}=58.74\times w\times\frac{1}{58.74}$
Step 4: $w=1.834$ radians per sec