Gear Formula

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  • #48973
    chris mabbott
    Participant
    • Topics Started: 119
    • Total Posts: 1525

    Would anyone happen to have the formula for calculating the size of gear needed for the hour wheel?

    I have a PW that is missing this gear and I would like to determine the number of teeth needed. Not sure if you could figure this out correctly with the normal gear ratio formula or if there is a special watch making calculation available :?:

    #57020
    Bob Tascione
    Moderator
    • Topics Started: 38
    • Total Posts: 1559

    Hi Chris,
    This should work. I’m probably going to make this look a lot more complicated than it really is. If you jot down the numbers in place of the variables as I go through the simple process it will all be clear to you.

    You’re after a 12 to 1 reduction so we’ll designate a few variables for gear tooth and pinion leaf count to work with.

    a= Minute Wheel count
    b= Hour Wheel count
    c= Cannon pinion count
    d= Minute Wheel Pinion count

    Formula: (a x b) / (c x d) = 12

    So since you’re solving for ‘b’ then 12 x (c x d) / a = b

    Hope I got this right.
    Bob

    #57021
    chris mabbott
    Participant
    • Topics Started: 119
    • Total Posts: 1525

    Thanks Bob,

    crystal clear and perfectly understandable, much appreciated :)

    I’m sure it is in the Chicago school book, but there is no index in my copy, so as usual, when I’m looking for something I never find it, when I’m not, it hits my nose 😆

    #57022
    tmac1956
    Participant
    • Topics Started: 171
    • Total Posts: 1259

    Chris:

    There is an index in the LuLu version buts it’s not in the very back… I saw it the other day and was surprised. It’s somewhere near the back just not in the same spot as 99.9999_% of the books out there.

    Just FYI…
    Tom

    #57023
    chris mabbott
    Participant
    • Topics Started: 119
    • Total Posts: 1525

    Thanks Tom I’ll check that out, I have the LuLu copy but I was looking in the obvious places, front & back

    #57024
    daryn
    Participant
    • Topics Started: 2
    • Total Posts: 97

    Watcha ,
    To find the dimensions of the wheels and pinions and to find the size module cutter required,these calculations require metric millimeters
    Firstly the distance of centres divided by the sum of half the teeth and half the leaves , this gives you the MODULE size of the gear

    The outside diameter of the wheel is the MODULE x (the number of teeth +2.71)
    The 2.71 is an addendum allowance to give you the actual diameter of the wheel
    For pinions it’s the same but with an allowance of 1.71
    Hope this helps ,
    Though quite often with earlier clocks this has to be taken as a “rough guide” with modern clocks it’s fairly spot on

    Daryn

    #57025
    chris mabbott
    Participant
    • Topics Started: 119
    • Total Posts: 1525

    Thanks Daryn, it does, the only thing I’m not sure of is what “leaves” refers to? I think I might have an idea but would just like to confirm or deny it please :)

    #57026
    arutha
    Participant
    • Topics Started: 85
    • Total Posts: 1536

    “Leaves” of a pinion, wheels have teeth, pinions have leaves. :)
    Paul.

    #57027
    chris mabbott
    Participant
    • Topics Started: 119
    • Total Posts: 1525

    Then I was completely waay off base 😆 Thanks Paul…

    #57028
    willofiam
    Moderator
    • Topics Started: 75
    • Total Posts: 1437

    Thanks guys, good info, what I am confronting in my mind is how do I know what shape and size to make the cutter if there is no example? I think I am going to the drafting table to draw out some of this, hopefully it will help wrap my head around it. I am feeling a bit dense right now. William

    #57029
    daryn
    Participant
    • Topics Started: 2
    • Total Posts: 97

    There’s a good book by j m wild “wheel and pinion cutting in horology”
    There’s a set of tables in the back with dimensions etc. For making cutters , very worth a read

    #57030
    tmac1956
    Participant
    • Topics Started: 171
    • Total Posts: 1259

    @Chris Mabbott wrote:

    Thanks Tom I’ll check that out, I have the LuLu copy but I was looking in the obvious places, front & back

    Chris:

    The index turns out to be only for the section entitled “Tools and Materials of the Trade” which is of little use to the main of the book.

    My mistake!

    Later,
    Tom

    #57031
    chris mabbott
    Participant
    • Topics Started: 119
    • Total Posts: 1525

    Tom I really enjoyed that section and I spent a long Sunday morning going through that part, really interesting to see those old ads for tools and I even found out what a few of them were for :)

    #57032
    willofiam
    Moderator
    • Topics Started: 75
    • Total Posts: 1437

    Thanks Daryn, I forgot that Paul had mentioned this book to me, just ordered one. Have fun, William

    #57033
    chris mabbott
    Participant
    • Topics Started: 119
    • Total Posts: 1525

    William if you keep learning this I won’t have to worry, I’ll just send you the parts I need repairing/making, obviously I will be using the forum discount code of BROTHER to receive my 80% off 😆

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chris mabbottGear Formula