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10 March, 19:40

A Blu-ray disc is approximately 11 centimeters in diameter. The drive motor of a Blu-ray player is able to rotate up to 10,000 revolutions per minute. (a) Find the maximum angular speed (in radians per second) of a Blu-ray disc as it rotates

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  1. 10 March, 22:29
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    the maximum angular speed (in radians per second) of a Blu-ray disc as it rotates is 57.6 m/s

    Explanation:

    Given information:

    diameter of the disc, d = 11 cm, r = 5.5 cm = 0.055 m

    angular speed ω = 10000 rev/min = (10000 rev/min) (2π rad/rev) (1/60 min/s)

    = 1000π/3 rad/s

    to calculate the maximum angular speed we can use the following formula

    ω = v/r

    v = ωr

    = (1000π/3) (0.055)

    = 57.6 m/s
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