Calculating compound gear ratios
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- Опубліковано 23 сер 2024
- How to work out good tooth counts to come up with a desired gear ratio for multi-stage gearing. woodgears.ca/ge...
The gear generator program I used is one I wrote, for sale on my website: woodgears.ca/gear
I love the clock thing. Your gear program rocks. One of the coolest things I've ever messed with. Definetly worth the few bucks you charge for it!
Such a smooth edit.
Very nicely explained, I had to pause it a bit to follow you but I got there!
i learned in these 6minutes more stuff than at school in 6 hours.
Seriously... Mr Wandel you're by far the most informative teacher that i've ever had.
That there is a living fact
I had no idea you'd actually make the gears. That was amazing
I like the boring math stuff, great video
why is it exactly boring?
2 yrs ago :D yeah but math stuff is fun for me
@Oogly_ Boogie You can also blame bad teachers...
This is so cool. Math isn't my sort of game and I really suck at this sort of math. But I love seeing math in action like this. It's absolutely inspiring. Well done Sir! :)
I honestly didn’t understand it. You just did some calculations and you didn’t explain what or why you did them. I’m a beginner so I don’t quite understand everything yet…
Thanks for the early afternoon headache Matthias. You are very welcome ;)
You know Matthias, I actually watched this whole video and was, all alone, laughing out loud the entire time. Yes, it was boring and unfathomable to me but fascinating at the same time. You are, simply put, one-of-a-kind!
Very nicely done. I don't even plan on doing this myself, but the "boring teaching part" was so well done I still found it to be quite interesting. Maybe I will find a way to use this.
Very nice explanation as usual. I think I'll make a mockup like this for my kids daycare class to use to tell time and they can pick up a bit about how clocks work at the same time. Thanks!
Your talent with gears is amazing.
Hi Matthias.
I prefer watching, and learning, the "boring math stuff". For me, and ( I guess ) a lot others, the math is particularly interresting when it is put into use.
Thank you for sharing your ideas in videos.
Greatings from Denmark.
Its fun to watch this without sound and to try and work out why he does certain things. For example on the second blank page when he wrote a decimal value for root 12 I was just like "whaaa?"
Dont quite understand where you got some of the numbers from but hopefully I'll learn some day.
More good work Matthias. I used the gear generator recently toward finishing my box joint jig. I'll send pics when complete.
Thanks for this!! I have a dream of building a clock (maybe modifying a regular quartz clock) that runs anticlockwise, one revolution a year. I have figured out how to build a reverse clock but figuring out the ratios has felt like too big of an effort haha. So useful :-)
Great Video. I always wondered why clocks have so many gears, but never took the time to figure it out.
This is great stuff, thanks for sharing. I just finished building your box joint jig, and I'm fascinated by wooden gears now. :)
can someone please explain to me 0:35 i don't understand how he changed 1;2 to 1;3 and how he changed 1;5 to 3;10
an example: G = 3:15 ; get this to 1:something; so divide by 3 -> 1:5. 5 = 2.5 x 2; then invert this equation -> 1/5 = 1/2.5 x 1/2. There's your 2 gear ratios for a compound system.
I sure would like to have you as my neighbor.
I don't think there would be ANY problem we couldn't work out.
Sebasto, I take you to mean "that YOU couldn't work out for me!"
that's so awesome men ! greetings from Polish viewer :P
I should have paid more attention in school. Thanks for the practical application of ratios.
Does this mean that there will be a 'how to make a clock' video coming up soon?
Big hand watches are coming back into they style.
*part of the movement of a clock.
Whammy! Lol :D Kinda over-engineered for that, drawing on a paper would do the job just as well
LOL!!! I thought the same thing!
I really look forward to see what he is going to make with these! :)
Dr v
wow - that would be such a great introduction to a class in mechanics ! thank you
At 2:50 I think I might have heard you supressing a laugh about your frivolity: throwing roots on us without warning or explanation.
Very interesting video. Had a little trouble following at first, got up, washed my face and started again.
Will you make a clock series or was this just a random application??
Super!
How durable are wooden gears? Could they be used, for example, to drive a sanding disk stepped down from 2,500 rpm to (say) 800 rpm?
Think the video could have used a little more explanation on why exactly you were doing what you were doing mathematically but I eventually got! Thanks for the video!!!
Great video, thank you posting. This helps me understand much better.
Suppose you put two gear setups on a bicycle. Would it take the same amount of torque to accelerate each one since they are the same hear ratio?
it took me a while, but i finally got it
thankyou for making this video :D
Great video, very useful!
You have a great way of explaining concepts like this. I hope you will make more videos explaining the concepts and math behind some of the things like this, it keeps giving me the motivation to stay on the Mech Eng/Elect Eng path.
Mr. Wandel, a very helpful person you. Thanks.
This is absolutely fascinating to me.
Hi, such clean work. I have some questions, ill start with:
this Gear Generator program is the only software for the hear related matters, or there are some others too?
Possibly 'again', thank you for this. I sometimes use my kitchen cupboards as a white board to sketch Ideas while I am making a cuppa. Then I remembered this video, I can go wash all the lunatic scribblings off now.
im more interested in what you wrote your gear program in, and how.
wait, but if the shafts were not aligned, how did you do it?
it was then where you used your gear generator program to reduce the overall size of the teeth to make the shafts align?
Nelson Baietti correct.
Reducing the size of the teeth made the gears smaller, which made the diameters smaller
Would love the see a (mechanic) and larger version of the clock, pretty awesome design.
I've been wanting to know how to do this for almost 20 years thank you! Now it's time for you to buy CNC machine or 3d printer lol. I see you already know how to use SketchUp so you should be fine. I use Mach 3 for my CNC machine, the aLibre for my cad, and I have an old makerbot.
Thanks for the help, Revision? Done! Hotel, Trivago!
Nice pen! If it's a Pelikan (I seem to recall you saying that you like those pens), I don't recognize the model.
Daniel Hartnett It's a really cheap pelikan pen, meant for primary school students. But writes really good.
Matthias Wandel awesome!
Well done, Matthias. I enjoyed it.
Hi Matthias, congratulations, I have a question: at about at 3:00 why do you use sqr 12?
+Roberto Folgarait There are two gear ratios, and if you wnat the result rgear ratio to be 12:1, that is 12, and if you want the two gear ratios to be roughly the same, then each should have a ratio of sqrt12:1, and when you have two of those you multiply the ratios, and (sqrt12)^2=12.
I see now, thanks a lot
@1:20ish you say that you want to make the gear ratios more even. Next you draw a picture of a gear train with three gears and say the final gear ratio will be the same as before, but the last gear will spin opposite to the first gear. Can you explain this in more detail? I thought if the pinion was spinning counter clockwise then the idler gear would spin clockwise which would drive the final driven gear counter clockwise; however, you have indicated that it should spin clockwise. Did you mean to say opposite to the idler gear?
Did you know you're a freaking genious? ☺
Would your gear drawing work as well in metal or does the tooth shape need to be different? Thanks for a great video.
It is in use in every car you ride in. The transmissions use planetary gear systems. Check those out theyre really cool.
Incredible explanation. Thanks 😊
A lot of really good information, thanks.
This is great. How can I add another hand to this to track seconds? Do you have another video for that? Thanks!!
in the formula used in the documentation of the website you say you are using 7 teeth for the smaller gear however the final end result the smaller gear has 8 teeth, not 7 witch left me puzzled a bit
one has 7, the other 8
I just constructed my first wooden gear train. The small wheel at one end easily turns the whole set up, but it will not turn at all when I attempt to rotate the large wheel at the other end. Is this normal, and is there anything that I could do about it?
Hey man, I have a selection of 8T, 50T and 70T gears an I want to generate as much torque as I possibly can on my shaft, what would you recommend?
This clock gear ratio math is a great argument for metric time :D
Really? How long would be a day, then? 86.4 kiloseconds?
Well, I'm 1.1 gigaseconds old, and I'd find this cumbersome.
logicmindtube Yeah sure ;) The joke was comparing the second/minute/hour/day/week system and the metric system.
I like goofing around with units, like nanolightyears or kilowattweeks. BTW: I'd rather boil an egg for 1/12 of an hour. (30000 cs ;)
EDIT: well actually, that would be 30 decaseconds - now that I think about it - I could get used to that. Like, an hour is 36 hectoseconds. Or "3k6" as we say on the streets. ;)
MrTridac just redefine the second.
bleckers Yep! It's already 100% arbitrary, so we might as well shave off or add (whatever is necessary) a few ms and make it 100 seconds in a minute, 100 minutes per hour, 10 hours per day, 10 days per week (yes, 36.5 weeks) and we'll just use minor course corrections as always for the leap time when needed. I'm also all for doing away with time zones cause they're more confusing than helpful.
Charles Hanson
Actually, there's something called the 'industry minute' where an hour is 100 ind.min. long. It's crazy to convert back and forth when you write programs. It's always crazy to deal with time in software, but this gives it an extra bite, like rubbing salt into the wound. Trust me, the 60/60/24 system makes a lot of sense for everyday use. Granted, the 7/{28|29|30|31}/{365|366}/12/~52 system is a pain in the ass.
When making the clock gears, instead of trying to make gears “roughly” the sqrt(12), why not just made them 1:3 and 1:4 so it’s exact?
what is inexact atbout the 1:12 gear ratio that I did make? What would the advantage be of 1:3 and 1:4?
Don't worry, he's neither made it an less precise, nor actually used sqrt(12) as his gear ratios.
What he's done is stated that if the gear ratios can both be around sqrt(12) (sqrt as there are two idler, conversion gears), then that would be optimal for this compound gear train.
Then he's picked gear ratios around that 3.46 value.
So here: (these are gear ratios, not time stamps)
8:28 --> 2:7 = 3.5
28:96 --> 7:24 = 3.428...
Great vid but I think the First part is the best part beacause
I whatch these kinds of videos to learn stuf not to see people do things I already now Howe to do so I actually use UA-cam to fil in the gaps in the education of my school so I can be a beter carpenter / woodworker when I graduated so thanks for al your great videos
Not boring at all, very interesting!!
Very clever interesting stuff. Really enjoy your enthusiasm and motivation to try things! Atb Ryan.
So good, a number one bullseye.
How does the gear template generator determine tooth geometry?
While I may or may not have understood 98% of the first part of the video, I didn't skip ahead. Don't tell me what to do Matthias!
Would this ratio concept work using different pulleys diameters to change electric motor rpm for a specific tool?
so use sqr12 can give the best compound ratio? how about 7:21 and 7:28? is a initial 8 driving gear more desirable than a 7 gear?
I want that pen! It looks so smooth
I'll buy your bandsaw plans and your gear generator if you make a gear powered hand cranking fire starter! You know you want to!
That makes so much sense! Thanks for this video!!
"Boring educational content"
¡Muy bueno!!!
Algunos creen que el engranaje se hace solo por arte de magia...🙂🙂🙂
What were dimensions for the gears you made?
bonjour mr matthias, pourriez vous refaire l "machine d'anticytere", pour pouvoir predire les mouvement de la lune et des astres? cela me plairais beaucoup
Cool, Video. Nice seeing you on Alain Vaillancourt's Video.
Nice.
for a turbine of 50 rpm drives a motor of 1000 rpm what gear ratios can be used?
Very good. Congratulations!
0:52 why do you multiply by 7 and then the other ratio by 3?
Do I see a clock project in your future? :D You could even use a synchronous motor if you don't want to mess about with escapements, pendulums and the like.
Very good.
Plz, if I want 90:1 gear ratio.. How to calculate it?
Very cool, it would take me a lot longer to figure out the math though.
2:03 - My good friend "Mr Black"
Wie immer sehr informativ! :)
Grüße aus Deutschland!
I have to learn this in my engineering class
What happens with the 0.3 tooth error? Is significant in the clock accuracy? Thanks for the explanation!
There is no .3 tooth error; with the 8:~27.7 ratio for the first gear, the second gear would have to also be ~27.7:96, which equals 8:~27.7. This was used to determine the point where the two gear ratios would be the same, so he picked a value near that (8:28) and then chose the second gear ratio to make the whole thing 1:12 as he wanted (instead of ~27.7:96 = 8:~27.7, he had 28:96 = 7:24).
Wait, wouldn't the clock ratio be 1:60 for 60 minutes?
I'll just put it out there Matthias... you have the gear program... you have the skills... please do a clock plan... I'm sure that people (myself included) would love to build it. make it interesting... use the three-tooth escapement for example...
kmoddl.library.cornell.edu/model.php?m=246
Hello I need help i have a motor 3 rpm but I need 300 rpm how can I convert it please tell me sir?
Well, almost. At ~1:59 the plus symbol is really not appropriate. All you do is factor, cancel, or expand fractions. So you have computed 1/10 = 7/70 = 7/20 * 20/70 = 7/20 * 2/7 = 7/20 * 8/28.
This really IS primary school maths, and all the rules we've learnt still apply. No black magic ;)
Other than that: Great explanation and tutorial! I really like the clock!
ytctrb Yes, it's primary school math. Which, sadly, is beyond most adults.
My primary school math was displaced by Algebra, Trigonometry and Calculus since you don't often have to directly manipulate fractions (or manipulate them in the same way) in higher math.
How did you get 1:3 and 3:10 from 1:2 and 1:5? thanks
1:20 Mandelbrot's fractal.
Great video
Sir with rotation can possible to increase load ?
the problem with this is that you cant add an escapement to it with the right ratios to get the gear for the seconds. you either get one wheel with too many teeth or one less than 1 tooth which wouldnt work. i tried this and now i have to start over again to correctly make the wooden pendulum clock.
+Milky Cowish
ah, sorry nono not like that, was thinking more about the set of gears needed for the train he made. the least amount teeth i could find for a gear that would show seconds etc was around 620. imagine just cutting and then working on that many teeth by hand. the risk for failure increases with number of teeth
how did you get 1:3 and 3:10? Why did you multiple 1:3 by 7 and multiplied 3:10 by 3?
I dont understand why you had to square root (12) for two separate gears, why couldn't you multiple 12 instead?
as the calcurar force that will have in turn when we subtract 2000 RPM to 180 r.p.m
could you implement a planetary gear set?
2:14 where did the 7:77 gear come in from?
At 3:50 I did not get the point of the square root of 12. Why did we do that?
For more info, read the the linked article
Thanks
for your help
can any one tell me how to calculate the ratio for the hands that counts the seconds please
why don't you try something with planetary gears transmission?