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    Angular speeds in radians, linear speeds and average angular acceleration.

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    A pneumatic high-speed cutter with a 7.50 cm diameter cutting disc is advertised to have a rotation rate of between 5,000 and 18,000 rev/min.

    A) What is the range of angular speeds in radians?
    B) What is the range of linear speeds of the edge of the disk?
    C) What is the average angular acceleration if, starting from rest, the cutter comes up to its fastest speed in 2.8 seconds?

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    with good explanations and calculations, the problem is solved.