A DVD with a radius of 6 centimeters rotates at a speed of 243 revolutions per minute. Find the liner speed in centimeters per second.

Question

A DVD with a radius of 6 centimeters rotates at a speed of 243 revolutions per minute. Find the liner speed in centimeters per second.

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Trúc Chi 3 years 2021-08-25T09:27:45+00:00 1 Answers 221 views 0

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  1. thuthao
    0
    2021-08-25T09:29:02+00:00
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    Answer:

    152.7 cm/s

    Step-by-step explanation:

    The radius of DVD, r = 6 cm

    The angular speed of DVD, \omega=243\ rev/min=25.45\ rad/s

    We need to find the linear speed of the DVD.

    The relation between linear speed and angular speed is given by :

    v=r\omega\\\\v=0.06\times 25.45\\\\v=1.527\ m/s

    or

    v = 152.7 cm/s

    So, the linear speed of the DVD is 152.7 cm/s.

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