Max Rotation Rate of a Slowing Turntable

[Dan22]

Homework Statement

A turntable of radius "r" is spinning counterclockwise at an initial rate of ω. at t=0, its rotation rate begins to slow at a steady pace. the rotation finally stops at t=T. At what time is ωt^2 maximum. Express your answer in terms of T.

 

[CWatters]

As this is thehomework section the rules require you to post your attempt before asking for help. Meanwhile...

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