Question

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?

Answer 1

`\begin{gathered} w=(v)/(r) \\ v=wr \end{gathered}`

Therefore,

`\begin{gathered} f=(mv^2)/(r) \\ f=(mw^2r^2)/(r) \\ f=mw^2r \\ r=(f)/(mw^2) \end{gathered}`