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L PreCal

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A typical record album is 12in in diameter and plays at 33 1/3 revolutions per min. What is the angular speed of a record album?

Can someone show me how to do this?? I'm so lost!!

  • L PreCal -

    33 1/3 revolutions per min
    = 100/3 rpm

    since 1 rotation (revolution) = 360° or 2π radians
    the angular velocity = 100/3(360° per minute or 12 000°/min
    in radians it would be 100/3(2π) rad/min = 200π/3 rad/min

    of course if you wanted it per second, you would divide each of the above by 60

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