The formula you provided is ω=θ/t. You’ve given that ω=6π/7 radians per sec and t=7 sec. We can find the missing variable θ by rearranging the formula to θ=ω*t.
Substituting the given values into the equation, we get:
θ=ω⋅t=76π⋅7=6π radians
So, the missing variable θ is equal to 6π radians.