### How long will it take before coin begins to slide radially

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A coin is placed on a turntable 13 cm from the center. A lump of clay placed behind the coin prevents it from sliding backwards (tangentially). The coefficient of static friction between the table and the coin is 0.11. Once the turntable is turned on, its angular acceleration is 1.2 rad/s. How long will it take before the coin begins to slide radially?

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