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Posted by on Wednesday, February 6, 2008 at 9:32pm.

If gear A has 30 teeth and is spinning at 800rpm, gear B has 50 teeth and gear C has 20 teeth and gear D is spinning at 300rpm. How many teeth does gear D have?

  • physics - , Wednesday, February 6, 2008 at 9:41pm

    rpms if all in a row
    If any are on the same shaft. I do not have your picture.
    B 800*(30/50)
    C 800*(30/50)*(50/20)
    D 800*(30/50)*(50/20)*(20/N) = 300

    or more easily since all teeth are the same size
    800*(30/N) = 300
    N = 80

  • physics - , Wednesday, February 6, 2008 at 9:48pm

    B and C are on the same shaft

  • physics - , Wednesday, February 6, 2008 at 9:50pm

    Now you tell me !

  • physics - , Wednesday, February 6, 2008 at 9:51pm

    sorry

  • physics - , Wednesday, February 6, 2008 at 9:53pm

    B = 800*30/50 = 480 rpm
    so
    C = 480 rpm
    D = 480 (20/N) = 300
    N = 32

  • physics - , Wednesday, February 6, 2008 at 9:58pm

    thank you

  • physics - , Wednesday, February 6, 2008 at 9:59pm

    You are welcome :)

  • physics - , Wednesday, February 6, 2008 at 10:41pm

    How exactly does Free Body Diagrams work?

  • physics - , Wednesday, February 6, 2008 at 10:48pm

    Think of the body all alone in space
    Add up all the force vectors on it and equate that to mass times acceleration.

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