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15 November, 17:54

A force of 30 N is applied tangentially to the rim of a solid disk of radius 0.14 m. The disk rotates about an axis through its center and perpendicular to its face with a constant angular acceleration of 130 rad/s2. Determine the mass of the disk.

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  1. 15 November, 21:11
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    Answer: 3.27kg

    Explanation:

    Inertia can be said to be the resistance of an object to a change in its motion. This includes a change in its direction. An object will stay still or keep moving at the same speed and in a straight line, except it is acted upon by an unbalanced external force.

    Given F = 30N

    r = 0.14m

    a = 130rad/s²

    Then, T = Fr

    T = 30*0.14

    T = 4.2Nm

    Also, T = inertia * acceleration

    Inertia = 4.2/a

    Inertia = 4.2/130

    Inertia = 0.032

    Also, inertia = mr²/2

    0.032 = m * (0.14²) / 2

    0.032 = m * 0.0098

    m = 0.032/0.0098

    m = 3.27kg
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