A compact disc has a radius of 6 cm. As the cd player powers up, the disc has an angular acceleration of 1.2 rad/s^2. The disc is at full s

Question

A compact disc has a radius of 6 cm. As the cd player powers up, the disc has an angular acceleration of 1.2 rad/s^2. The disc is at full speed after 3 seconds. Determine the angular velocity of the disc once it is at full speed.

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Ngọc Hoa 3 years 2021-07-28T00:38:04+00:00 1 Answers 71 views 0

Answers ( )

  1. kimchi2
    0
    2021-07-28T00:39:34+00:00
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    Answer:

    3.6 rad/s

    Explanation:

    Given that,

    Radius of a compact disc is 6 cm

    The angular acceleration of the disc is 1.2 rad/s²

    Time, t = 3 seconds

    We ned to find the angular velocity of the disc once it is at full speed. The relation between the angular velocity and angular acceleration is given as follows :

    \alpha =\dfrac{\omega}{t}\\\\\because\ \omega=\text{angular velocity}\\\\\omega=\alpha t\\\\\omega=1.2\times 3\\\\\omega=3.6\ rad/s

    So, the angular velocity of the disc is 3.6 rad/s.

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