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Determine the angular velocity of the Wheel

  1. Apr 1, 2013 #1
    1. The problem statement, all variables and given/known data
    The cart has a velocity vc = 3.4 ft/sec to the right. Determine the angular speed N (positive if counterclockwise, negative if clockwise) of the wheel so that point A on the top of the rim has a velocity (a) equal to 3.4 ft/sec to the left, (b) equal to zero, and (c) equal to 6.8 ft/sec to the right.

    I have attached an image of the question


    2. Relevant equations



    3. The attempt at a solution

    vA = vO + vA/O

    vO = -3.4i

    v = wXr

    r = 11.6j

    For part a)

    -3.4i = 3.4i + wX<11.6j>

    Solving for w gives me

    w = 6.8/11.6 k rad/sec

    Which is equivalent to

    w = 5.597 rev/min

    I don't think this is right and I can't see what's wrong with what I've done.

    Advice would be greatly appreciated.
     

    Attached Files:

  2. jcsd
  3. Apr 1, 2013 #2
    Nevermind, I found my mistake. I forgot to convert the 11.6" to feet.
     
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