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Rotational Axis Problem

  1. Feb 25, 2010 #1
    1. The problem statement, all variables and given/known data
    Two children ride on a Merry-go-round. One is 2 m from the axis of rotation and the other is 4m from it. Which child has the larger;

    I. linear speed
    II. acceleration
    III. angular speed and
    IV. angular displacement



    2. Relevant equations

    1) Linear Speed: v = ωr
    2) Acceleration: a = F / m
    3) Angular Speed = No. of radian/sec = ω = θ/t
    4) Delta Theta = Theta(base1) - Theta(base0)

    3. The attempt at a solution

    I think I need to just pick one of the four, based on the information of the two children riding the mgr. Since child one is 2m from the axis of roation h/she is is traveling slower with a greater angular speed because the radius is smaller. The other, at 4m is traveling faster because the radius is greater than the other, in comparison.

    Any other possibilities?
     
  2. jcsd
  3. Feb 25, 2010 #2

    ideasrule

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    This does not follow. A merry-go-round is a solid object. Why would the two people have different angular speeds?
     
  4. Feb 25, 2010 #3
    Its their linear speed. Because the further you are from the center, the higher velocity that you'll have.
     
  5. Feb 25, 2010 #4

    ideasrule

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    Yes, they have different linear speeds, but the same angular speed.
     
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