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Angular Velocity of a gear

  1. Oct 28, 2016 #1
    1. The problem statement, all variables and given/known data
    Gear 2 in the figure below is driven at a speed of 80 rpm in the CCW direction viewed from the right end. Gear 4 meshes with a fixed ring gear (gear 7) and with gear 5. Find the angular velocity of gear 5. N2= 16 T, N3= 32 T, N4= 30 T, N5= 22 T and N7= 77 T.
    Question4.png
    2. Relevant equations
    w1/w2 = -N2/N1
    w = angular velocity
    N = number of teeth

    (wsun - wcarrier)/(wring - wcarrier) = -Nring/Nsun

    3. The attempt at a solution
    wcarrier = 80 rpm
    wring = 0 as its fixed
    wsun = w5

    w5 -wc = 77/22 * wc
    w5 - 80 = 3.5*80
    w5 = 360rpm

    This is incorrect however, and I think it is because w3 has an effect on w4 which in turn effects w5.
    w3 = -40 = w4;
    However I'm not sure how to connect these two values, any help would be much appreciated
     
  2. jcsd
  3. Oct 31, 2016 #2

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    If you're told, "This is a differential," can you re-examine the question productively?
     
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