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The tape in a videotape cassette has a total length 278 m and can play for 2.1 h. As the tape starts to play, the

The tape in a videotape cassette has a total length 278 m and can play for 2.1 h. As the tape starts to play, the full reel has an outer radius of 48 mm and an inner radius of 12 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed? Answer in units of rad/s.

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