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-   -   Rotational inertia of the Frisbee (https://www.askmehelpdesk.com/showthread.php?t=143758)

  • Oct 22, 2007, 06:45 PM
    kahensle
    Rotational inertia of the Frisbee
    A 108 g Frisbee is 28 cm in diameter and has about half its mass spread uniformly in a disk, and the other half concentrated in the rim. With a quarter-turn flick of the wrist, a student sets the Frisbee rotating at 550 rpm.
    (a) What is the rotational inertia of the Frisbee?
    _________ kg·m2
    (b) What is the magnitude of the torque, assumed constant, that the student applies?
    _________ N·m
  • Oct 30, 2007, 04:54 AM
    terryg752
    Quote:

    Originally Posted by kahensle
    A 108 g Frisbee is 28 cm in diameter and has about half its mass spread uniformly in a disk, and the other half concentrated in the rim. With a quarter-turn flick of the wrist, a student sets the Frisbee rotating at 550 rpm.
    (a) What is the rotational inertia of the Frisbee?
    _________ kg·m2
    (b) What is the magnitude of the torque, assumed constant, that the student applies?
    _________ N·m

    I am going to give you hints for mass 2m, diameter 2r

    You can find tables for moments of inertia in any physics book:

    For the rim: mr^2

    for the rest of the disc: 1/2 mr^2

    Add the two and you get I, total moment of inertia.

    Calculate w, the angular velocity

    Kinetic Energy attained = 1/2 I w^2

    This should equal Work Done = Torque times 1/4 circumference

    Now you can calculate Torque!

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