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A magnetic tape is wound on an emptyspoo...

A magnetic tape is wound on an emptyspool rotating at a constant angular velocity. The final radius `r_(t)` of the winding was found to be three times as large as the initial radius `r_(1)` ( Fig. ). The winding time of the tape is `t_(1)`. What is the time `t_(2)` required or winding a tape whose thickness is half that of the initial tape?

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