
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
June 18th, 2017, 01:17 PM  #1 
Newbie Joined: Dec 2012 Posts: 10 Thanks: 0  Long Compound Gear Train ratio
Greetings. I am building a board game that utilizes time travel by means of a compound gear train. Each gear will represent a different unit of time, and I would like an idler gear in between so the time gears all move clockwise/counterclockwise at the same time. The units I am using are day (7:1), week (4:1) month (12:1) year (10:1) decade (10:1) century (10:1) millennium (10:1) myriad (10:1) centium (10:1) age (8 teeth). The ratios put together are 7:1, 4:1, 12:1, 10:1, 10:1, 10:1, 10:1, 10:1, 10:1, 8:1 So here is the issue I am having. I don't want to have any of the gears have oddnumbered teeth, and I don't want massivetooth gears (none above 60), and the smallest amount of teeth I want on any gear to be 8. I was trying to avoid having to use pinion gears but it looks like I will have to anyway. What is the best setup for this gear train? What I have for starters is the day to week ratio which will be a compound gear, either 10:20 and 8:28 or 8:20 and 10:28. It gets tricky for me to calculate after that because of the next 4:1 ratio. I also tried started working backwards from the age gear (8 teeth) too but didn't make it very far. Last edited by davidbenjamindix; June 18th, 2017 at 01:32 PM. Reason: mispellings 
June 18th, 2017, 01:53 PM  #2 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 878 Thanks: 60 Math Focus: सामान्य गणित  Code: (56:8) (32:8) (48:(8:(16:8))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(8:(20:10))) (40:(10:(20:10))) 
June 18th, 2017, 02:38 PM  #3 
Newbie Joined: Dec 2012 Posts: 10 Thanks: 0 
It makes perfect sense! Thanks so much. That's the answer I was looking for. For some reason I hit a mental block while trying to figure it out. Thanks again!

June 18th, 2017, 02:46 PM  #4 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 878 Thanks: 60 Math Focus: सामान्य गणित  Good to know, that I was of some help. 

Tags 
compound, gear, long, ratio, train 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
how to solve the gear problem?  davedave  Elementary Math  4  July 8th, 2016 01:05 PM 
What's the linear speed of the gear in Fizeau's experiment?  LordHertz  Physics  2  October 25th, 2014 02:41 AM 
Gear calculations  petersull  Algebra  4  February 26th, 2014 10:27 AM 
A train of 3000 KN  rsoy  Physics  11  June 10th, 2012 01:27 PM 
gear ratio  billfold  Algebra  0  February 24th, 2008 07:12 PM 