A CD is spinning on a CD player. In 12 radians, the cd has reached an angular speed of 17 r a d s by accelerating with a constant accelerati

Question

A CD is spinning on a CD player. In 12 radians, the cd has reached an angular speed of 17 r a d s by accelerating with a constant acceleration of 3 r a d s 2 . What was the initial angular speed of the CD

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Thu Thảo 7 months 2021-07-12T11:45:28+00:00 1 Answers 2 views 0

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    2021-07-12T11:47:26+00:00

    Answer:

    The initial angular speed of the CD is equal to 14.73 rad/s.

    Explanation:

    Given that,

    Angular displacement, \theta=12\ rad

    Final angular speed, \omega_f=17\ rad/s

    The acceleration of the CD,\alpha =3\ rad/s^2

    We need to find the initial angular speed of the CD. Using third equation of kinematics to find it such that,

    \omega_f^2=\omega_i^2+2\alpha \theta\\\\\omega_i^2=\omega_f^2-2\alpha \theta

    Put all the values,

    \omega_i^2=(17)^2-2\times 3\times 12\\\\\omega_i=\sqrt{217}\\\\\omega_i=14.73\ rad/s

    So, the initial angular speed of the CD is equal to 14.73 rad/s.

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