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19 votes
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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?

A turntable spins with an angular speed w. A bug of mass m begins walking slowly from-example-1
User Jbrehr
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1 Answer

15 votes
15 votes

\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}

User Siddharth Sonone
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