A turntable spins with an angular speed w. A bug of mass m begins walking slowly from the center toward the rim of the turntable. Which of the following represents the maximum distance r from the center that the bug can stand without slipping?

Therefore,
[tex]\begin{gathered} f=\frac{mv^2}{r} \\ f=\frac{mw^2r^2}{r} \\ f=mw^2r \\ r=\frac{f}{mw^2} \end{gathered}[/tex]