1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

3 gears

  1. Jan 3, 2006 #1
    How do you calculate the mechanical advantage of a 3 gear train system.

    The formula I have for gears is only for 2 gears:
    MA = number of teeth in the driving gear/number of teeth in the other gear.
  2. jcsd
  3. Jan 3, 2006 #2


    User Avatar
    Staff Emeritus
    Science Advisor

    If the two outer gears are running of the same central gear, there is a one to one correspondence to between both outer gears, or if n1, n2 and n3 are the number of teeth on each of three gears, and the input is from 1 to 2 to 3, then the ideal MA (excluding friction) is just

    MA = n1/ n2 * n2/n3 = n1/ n3.

    The number of teeth relates to the diameter of the gear, so one has to be careful in applying the number of teeth, which is only valid if the teeth are the same size (same pitch diameter).

    See these references - http://selland.boisestate.edu/jbrennan/physics/notes/Force/simple_machines.htm [Broken]


    http://download.micron.com/pdf/education/lessonplans/machinesextension.pdf [Broken]
    Last edited by a moderator: May 2, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: 3 gears
  1. Planitary Gears (Replies: 1)