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13 September, 22:36

A bug of mass 2.2 g is sitting at the edge of a cd of radius 3.0 cm. if the cd is spinning at 280 rpm, what is the angular momentum of the bug?

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  1. 13 September, 23:43
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    M = 2.2 g = 2.2 x 10⁻³ kg, the mass of the bug.

    r = 3.0 cm = 0.03 m, the radial distance from the center.

    The angular speed is

    ω = 280 rpm

    = (280 rev/min) * (2π rad/rev) * (1/60 min/s)

    = 29.3215 rad/s

    The moment of inertia of the bug is

    I = mr²

    = (2.2 x 10⁻³ kg) * (0.03 m) ²

    = 1.98 x 10⁻⁶ kg-m²

    Calculate the angular momentum of the bug.

    J = Iω

    = (1.98 x 10⁻⁶ kg-m²) * (29.3215 rad/s)

    = 5.806 x 10⁻⁵ (kg-m²) / s

    Answer: 5.806 x 10⁻⁵ (kg-m²) / s
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