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Math Help - Please help, revolution problem (I included diagram)

  1. #1
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    Please help, revolution problem (I included diagram)

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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Smile ..this might help

    Here I think you can see that the middle wheels rotate
    by same angle

    ---The wheel Y moves an equal distance as the smaller middle wheel

    ---Similarly the wheel Z moves the same distance as that moved by the bigger middle wheel

    Now try again, I think you should get the result
    If you still have trouble feel free to ask
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  3. #3
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    hi there,

    i certainly appreciate your help, but i am completely lost from the beginning. what you are describing is a little too far beyond what i understand.

    would it be possible to see step by step what to do? if not, i completely understand.
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  4. #4
    Like a stone-audioslave ADARSH's Avatar
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    Smile

    Lets first take wheel Y
    It rotates 360 degrees to complete one rotation hence
    the first string rotates by a length 4pi
    now this rotates the inner wheel by
    distance =4\pi hence angle moved  = \frac{360}{6\pi} *(4\pi) degrees
    this rotates the outer wheel by the same angle
    (as they are mutually joined)

    on moving by 240 degrees
    the distance moved by outer wheel , x= \frac{2}{3} *2*\pi*7
    which is same as the wheel Z
    so the revolution by Z  = \frac {x}{2*\pi*5}
    and you get the ANSWER
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