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Would These Gears Turn?

01/20/2009 9:36 AM

If the image on this coin were made real, would it be able to turn?

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#1

Re: Would these gears turn?

01/20/2009 9:40 AM

No.

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#2
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Re: Would these gears turn?

01/20/2009 10:03 AM

Agreed.

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#4
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Re: Would these gears turn?

01/20/2009 10:17 AM

me too!

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#3

Re: Would These Gears Turn?

01/20/2009 10:16 AM

Sorry I have to disagree, it would indeed turn due to the gap between the large and small gears directly below the 'W', without that gap all you get is stripped gears.

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#6
In reply to #3

Re: Would These Gears Turn?

01/20/2009 10:59 AM

I think he is asking if this configuration would work if one were to build it this way.Although I agree that, after expanding the image, I do see a couple of gaps in the mesh.

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#7
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Re: Would These Gears Turn?

01/20/2009 11:20 AM

Probably where they've already stripped, after some bright spark built a model & forced it.

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#8
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Re: Would These Gears Turn?

01/20/2009 11:28 AM

small engine didn't work so they used a big block, more horsepower...

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#5

Re: Would These Gears Turn?

01/20/2009 10:29 AM

No there is a conflict.

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#9

Re: Would These Gears Turn?

01/20/2009 12:12 PM

How about this one. Will it turn?

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#10
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Re: Would These Gears Turn?

01/20/2009 12:45 PM

I do believe it would.

On second thought, the intermediate gear on the top does not appear to be meshing with the two larger gears, as if it is ABOVE them. I think the differing number of teeth ont he two intermediate gears, if meshed would cause it to lock up.

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#12
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Re: Would These Gears Turn?

01/20/2009 1:24 PM

They will turn because the tangential velocity is the same for all 4 contact points. The intermediate gears do only "transport" the velocity but do not change it.

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#18
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Re: Would These Gears Turn?

01/20/2009 6:47 PM

Agreed.

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#77
In reply to #12

Re: Would These Gears Turn?

01/21/2009 3:05 PM

After rethinking I believe you are right--Throw out rpm and take teeth per time and they should be equal---I hope.

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#101
In reply to #12

Re: Would These Gears Turn?

01/22/2009 2:57 AM

There is only one answer and that is all. The tangential velocity is the same. Your answer. Wonder why there are so many arugments on a simple geometrical premise. The thread has so many viewpoints that are ridiculous. You can have as many idlers as you want the answer is the same. Time to stop this thread and go elsewhere

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#114
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Re: Would These Gears Turn?

01/23/2009 5:26 AM

What a great answer...I was about to say 'no they'd lock' but you made me think again.
Thanks... brevity at it's best... a tin of my best Tuna for you (terms and conditions apply tuna recipients must be 18 years or older)
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#13
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Re: Would These Gears Turn?

01/20/2009 3:02 PM

No, again.

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#14
In reply to #9

Re: Would These Gears Turn?

01/20/2009 3:43 PM

Yes

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#24
In reply to #9

Re: Would These Gears Turn?

01/20/2009 11:23 PM

The gears on coin will turn as there seems a gap between gears under letter W.

Beside, forget about the gears on te coin, whole world is turning around this small coin.

In your new gear train, I see that the top small gear is at lower elevation and not really engaged with right and gear. This evident form ovelapping teeth. Thus, this train will also turn.

Besides, you can see that the link below, on which the three gears are mounted can be turned to engage either of the big gears with top small gear. This is sort of gear box to get different output speeds for top small gear.

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#36
In reply to #24

Re: Would These Gears Turn?

01/21/2009 7:15 AM

I agree...good eyes! After repeating "right" "left" "right" "left" all the way around (of course I started at 12 o'clock) I was just relieved to get all the way around.

No watch making for me...

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#25
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Re: Would These Gears Turn?

01/20/2009 11:27 PM

How this can be a GA? It is another question, not an answer

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#26
In reply to #9

Re: Would These Gears Turn?

01/20/2009 11:31 PM

Yes they would as the intermediate gears will transmit the drive 1 tooth for 1 tooth. They do not change the gear ratio only the direction of rotation, & both small gears will do the same reverse direction.

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#29
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Re: Would These Gears Turn?

01/20/2009 11:50 PM

Assuming that all 4 gears have fixed axles and intersecting teeth/cogs, then the gears would turn, only if the two smaller gears were the same size. But, since the two smaller gears are of different diameters, they will turn at different speeds, resulting in interference, which will stop rotation of all gears.

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#37
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Re: Would These Gears Turn?

01/21/2009 7:15 AM

Why do you care if the two smaller cogs turn at different speeds: see nick name's post #12

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#87
In reply to #37

Re: Would These Gears Turn?

01/21/2009 3:36 PM

I don't care if they turn at different speeds; I'm not taking it personally. :-)

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#33
In reply to #9

Re: Would These Gears Turn?

01/21/2009 3:02 AM

no it wont run unless ,

the no,s of teeths of small pinion gears are not same ,if it wud hav been same ofcource it will ...

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#42
In reply to #9

Re: Would These Gears Turn?

01/21/2009 9:08 AM

Definitely not!!!

The whole thing is in a locked position as the smaller wheels between the big ones are not the same diameter, regardless which is the driver.

Can somebody give me a score for my answer?

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#50
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Re: Would These Gears Turn?

01/21/2009 9:54 AM

Yes it will turn. Given that the differrence in size of the two larger wheels is proportionate in equalizing the ratio of the smaller gears then each revolution will engage all the gears at their respective ratios.

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#60
In reply to #50

Re: Would These Gears Turn?

01/21/2009 1:10 PM

There are an odd number of gears, therefore it cannot turn, you need an even number to allow it to turn.

Drawing say 4 gears in a circle and marking the direction of rotation will show this in a simple manner. Draw 5 gears in a circle and you can see that it would lock up...

I have made a couple of (VERY!) simple drawings one with 5 wheels one with 6. I have shown all gears the same size, but in fact it does not matter as all that matters is that a particular number of teeth pass a particular point, whether a wheel turns 1 time 1.5 times or 2 times is irrelevant.

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#62
In reply to #60

Re: Would These Gears Turn?

01/21/2009 1:14 PM

has to be an even number of gears, On the two pound, they number 19, e.i. no-go.

good illustration Andy

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#64
In reply to #60

Re: Would These Gears Turn?

01/21/2009 1:31 PM

There's a big GA for you for your explanation therefore, the number of wheels on the £2 coin won't work because there's 1 too many wheels on 1 side and despite they are same size still one side has more of the small wheels that causes to lock up the rotation circuit.

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#65
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Re: Would These Gears Turn?

01/21/2009 1:50 PM

The size of the wheels does not matter, its only important that they mesh, not slip. I mentioned this in my last post too.

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#71
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Re: Would These Gears Turn?

01/21/2009 2:41 PM

You damn right that the wheel size does not matter on the coin. The reason why I said the small wheel because there's one extra on one side that does not make the number of wheels even in the circle in order to get the directions right.

They should be even in numbers as your illustrations show to get the directions right.

Only in Bricktop's other question was important to have the small wheels the same size to make the circuit work since both make contact with the larger wheels which are also not the same in size but it does not matter, am I right?

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#72
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Re: Would These Gears Turn?

01/21/2009 2:52 PM

Sorry, I take the last paragraph back because it does work like any even number arrangements.

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#83
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Re: Would These Gears Turn?

01/21/2009 3:17 PM

OK..simplest way........go to pic and put your fingers around the biggest gear and mentally turn it clockwise. (YesYen nailed it) What happens?

The two smaller gears turn in the same anti-clockwise direction perhaps?

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#51
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Re: Would These Gears Turn?

01/21/2009 10:10 AM

Have done.

My opinion only, right answer, wrong reason.....

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#57
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Re: Would These Gears Turn?

01/21/2009 11:48 AM

Thanks Andy, I knew someone's gonna agree with me, I like you.

I don't know what you mean by wrong reason but....

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#58
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Re: Would These Gears Turn?

01/21/2009 12:00 PM

Itsa same reason only more wronger

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#52
In reply to #9

Re: Would These Gears Turn?

01/21/2009 10:54 AM

The first gear train will not work as the first and last gears in the train will turn in the same direction.

The second gear train will work as the speed of the final gear is the same. I calculated the ratios of the different teeth for each scenario. The two intermediate gears will however, turn at different speeds.

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#118
In reply to #9

Re: Would These Gears Turn?

01/25/2009 10:57 PM

Assuming all the gears are properly meshed the answer is NO.

In is not possible as the gear ratio via the upper pinion is less the ratio vial the lower pinion.

Applying the same assumption to OP the answer is no due to there being an ODD number of gears and the gear ratios around the circle are moot.

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#119
In reply to #118

Re: Would These Gears Turn?

01/26/2009 5:19 AM

It's worth looking again!

The answer that cited tangential velocity to show that the four-gear loop would turn was correct. If you use ratios carefully, that will give the same result, because the diameter/number of cogs on the intermediate gear cancels.

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#11

Re: Would These Gears Turn?

01/20/2009 1:12 PM

I agree.

I believe no--Because of the uneven number/size of gears, especially between 12 and 2 o'clock(if they are all suppose to mesh together).

And no on the second for the same reason--The two intermediate gears will try to turn at different speeds.

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#15

Re: Would These Gears Turn?

01/20/2009 4:22 PM

1st one: no - Agree w/ the no's above.

2nd one: no - agree w/ no's above, and it looks funny, esp. if I zoom in. In my experience with gears, looking funny is a bad, bad sign. (It's a highly technical assement to determine the funniness of the gears.)

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#16

Re: Would These Gears Turn?

01/20/2009 6:18 PM

If enough torque is applied either of these will turn.... For a few degrees anyway while teeth are being stripped...

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#17

Re: Would These Gears Turn?

01/20/2009 6:43 PM

no, theres an odd number of gears

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#20
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Re: Would These Gears Turn?

01/20/2009 10:57 PM

I see you're still playing with Erector sets. Nice job but no - it will seize up.

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#23
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Re: Would These Gears Turn?

01/20/2009 11:14 PM

An Erector set is that similar to a Swedish Suction pump?

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#27
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Re: Would These Gears Turn?

01/20/2009 11:41 PM

Now that's funny!

It's not mine--really!

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#46
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Re: Would These Gears Turn?

01/21/2009 9:41 AM

EWWW! Can I get a jug of brain bleach over here?

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#39
In reply to #23

Re: Would These Gears Turn?

01/21/2009 7:31 AM

LOL!

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#21
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Re: Would These Gears Turn?

01/20/2009 11:01 PM

it seems as if they will all turn

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#19

Re: Would These Gears Turn?

01/20/2009 10:52 PM

They allready are "as the world turns" but really i have no clue, now if they were electrons

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#22

Re: Would These Gears Turn?

01/20/2009 11:04 PM

If the image on this coin were made real, would it be able to turn?

Yes, it would turn, if the coin is rolled across the floor.

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#73
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Re: Would These Gears Turn?

01/21/2009 2:54 PM
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#86
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Re: Would These Gears Turn?

01/21/2009 3:29 PM

Showoff. :-)

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#28

Re: Would These Gears Turn?

01/20/2009 11:44 PM

no!

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#30

Re: Would These Gears Turn?

01/21/2009 12:13 AM

I'd say yes, but not the gears meshing turning, but yes to it will turn the coin in relation to the prime mover

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#31

Re: Would These Gears Turn?

01/21/2009 2:08 AM

The Amazing Randi called attention to this image in 2000.

http://www.randi.org/jr/04-04-2000.html

Could it be that this gear train only functions in another dimension?

Or is it just that some designer is either a joker

or doesn't know anything about gears.

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#32

Re: Would These Gears Turn?

01/21/2009 2:59 AM

no it will only turn if the power transmisiion is not engaged one gear to another...

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#34

Re: Would These Gears Turn?

01/21/2009 3:37 AM

Hi, Bricktop!

No. The last sprocket would be turning in the same direction as the first.

Mark

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#35

Re: Would These Gears Turn?

01/21/2009 6:49 AM

No it cannot turn as there is at least one too few gears (or one too many! Choose one!).

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#38

Re: Would These Gears Turn?

01/21/2009 7:23 AM

Definately not! It's rapidly falling in value, more than ever.

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#40

Re: Would These Gears Turn?

01/21/2009 8:28 AM

The 3 o'clock position is shown to overlap so yes, all gears will turn.

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#41
In reply to #40

Re: Would These Gears Turn?

01/21/2009 8:57 AM

Take away the big gear, and see the two small gears turn. They turn at different speeds due to the different number of teeth per revolution.

If they were wheels on the ground, one would be dragged a little. With an inflexible cogged road, by putting the large gear back in place, albeit curved, they would not slip and lockup would occur.

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#43

Re: Would These Gears Turn?

01/21/2009 9:19 AM

First question clearly no. You would need an even number of gears in this configuration.

Second question, yes.

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#44

Re: Would These Gears Turn?

01/21/2009 9:28 AM

I suspect that if the number of gears is an odd number, the gear train will lock up. If the number of gears is an even number it can work. Since there is an odd number of gears (19), it doesn't stand a chance.

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#45

Re: Would These Gears Turn?

01/21/2009 9:40 AM

In the case of the two pound gears they would turn quite well, also in the case of the 4 gears they would turn also.

The speed at which the gears turn is quite irrelevant the teeth mesh 1 tooth at a time so 1 tooth progression at the beginning is 1 tooth progression at the end and there is the correct number of gears on the two pound piece to give the correct rotation without locking the gears up.

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#48
In reply to #45

Re: Would These Gears Turn?

01/21/2009 9:45 AM

In the case of the four gears it completely agree with your answer.

However, you might want to re-count the gears on the coin.

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#49
In reply to #48

Re: Would These Gears Turn?

01/21/2009 9:53 AM

Hi Tim

Just did a recount and you are correct I should have remembered odd & even No gears.

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#59
In reply to #45

Re: Would These Gears Turn?

01/21/2009 12:37 PM

GA from me for a good answer.

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#47

Re: Would These Gears Turn?

01/21/2009 9:44 AM

Looks like old ASVAB Test. NO is the answer. I almost got it wrong, getting old ya know. Scored 99th percentile when I took that test.

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#53

Re: Would These Gears Turn?

01/21/2009 10:55 AM

We seem to be getting nowhere towards a definitive answer. May I suggest that one of you hands-on engineers construct a working model to scale and let us know if the thing turns all the way around. Will someone please post a reward for the clever person who solves the question?

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#54
In reply to #53

Re: Would These Gears Turn?

01/21/2009 11:05 AM

"Will someone please post a reward for the clever person who solves the question?"

In good time. Stayed tuned!

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#55

Re: Would These Gears Turn?

01/21/2009 11:09 AM

I'll send one of these rulers to those with the right answers:

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#56
In reply to #55

Re: Would These Gears Turn?

01/21/2009 11:12 AM

That ruler is defective! It isn't 6 inches long in the picture! =b

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#61

Re: Would These Gears Turn?

01/21/2009 1:13 PM

Ooops--Not a chance.

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#63

Re: Would These Gears Turn?

01/21/2009 1:17 PM

I wonder......is that a Free Mason Design?

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#66
In reply to #63

Re: Would These Gears Turn?

01/21/2009 2:12 PM

Let me consolidate the fine points said here so far:

In closed gear trains:

If the total gears are of 'odd numbers', the train gets locked. Refer the FIG-1, gear C and gear A have conflict of direction of rotations, so they are locked. Such arrangement is used if rotation needs to be prevented as in 'lathe back gear'.

If the total gears are of 'even numbers', the train is free to work as in the FIG-2.

The gears need not be of same size but the gear ratio of pairs are to be maintained the same as in FIG-3.

In the example: FIG-3, the teeth ratio of first pair is: A:B = 100:50 = 2:1. Second pair ratio is: C:D = 80:40 = 2:1. Hence A:B = C:D.

This means if A rotates once, B will have 2 rotations (80/40).

Gear C (for every 2 rotations of B) will rotate (40/100)2 = 0.8 rotation.

Gear D (for 0.8 rotation of C) will rotate (100/50)0.8 = 1.6 rotation.

Let us check the final rotation of gear A, (50/80)1.6 = 1 rotation. Back to same 1 rotation, which means no conflict of speed.

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#67
In reply to #66

Re: Would These Gears Turn?

01/21/2009 2:23 PM

GA from me.

You also explain better! Thanks.

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#69
In reply to #66

Re: Would These Gears Turn?

01/21/2009 2:30 PM

yesyen, that pretty much sums it up, GA.

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#76
In reply to #69

Re: Would These Gears Turn?

01/21/2009 3:02 PM

Uhuh.......now you want the drawings eh! Ok..........never mind that a mere DUCK gets the answer and can explain the workings in a simple sentence ......ohhhhhh nooooooooooooo....

Answer this then BT.......is there such a thing as two square gears capable of turning each other?

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#78
In reply to #76

Re: Would These Gears Turn?

01/21/2009 3:07 PM

Not exactly square, but strange all the same:

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#79
In reply to #78

Re: Would These Gears Turn?

01/21/2009 3:11 PM

BT, I gotta see that mechanism from a couple other angles, because it looks like it can't move from what I'm seeing. But then again I'm fat and nearsighted too....=b

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#84
In reply to #78

Re: Would These Gears Turn?

01/21/2009 3:21 PM

Whoever thought that up is a genius!

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#103
In reply to #78

Re: Would These Gears Turn?

01/22/2009 4:13 AM

I never saw a gear like that before. Where did you find it anyway?

It looks as if the speed of the shaft it's on varies even though the driving gear's speed is constant, any reason for it?

Incidentally, do you know any website where gear cuttings are shown/illustrated?

I have been curious for a long time but nothing really come to mind just like on ball manufacturing process for bearings? All just curiosity for me but still fascinates.

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#107
In reply to #103

Re: Would These Gears Turn?

01/22/2009 9:46 AM

Isti, I could see a (oil or water well) rod pump needing to vary the speed at which the rod moved up and down in the well. you'd want it to go down fast but slow right before it got to the bottom of the stroke and slowly accellerate on the way back up again. most mechanisms I've seen have an elliptical function built into the mechanism, but this gear set seems to have a very odd and complex power transfer function. It is clearly attached to a water well rod pump, but I cannot for the life of me figure out why the power transfer function needs to be so dang complex.

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#122
In reply to #103

Re: Would These Gears Turn?

01/26/2009 8:47 AM

I'm sorry Bricktop, I haven't been reading these postings lately.

I must say some of those oldies weren't just sitting on their brains, were they?

Looking at those gears on display in the Museum, before the domineering presence of electronics, people did know how to get around problems the best possible ways with mechanism.

Thanx for the enlightenment.

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#121
In reply to #78

Re: Would These Gears Turn?

01/26/2009 8:17 AM

That will actually work fine. It will cause the arms to move in a desired pattern to run the water pump continuously. But it is a neat pattern.

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#92
In reply to #76

Re: Would These Gears Turn?

01/21/2009 7:43 PM

Yep......the principal of establishing the centroid of any shape. Nice.

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#97
In reply to #76

Re: Would These Gears Turn?

01/21/2009 9:36 PM

nice link

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#100
In reply to #76

Re: Would These Gears Turn?

01/22/2009 12:58 AM

500 Internal Server Error

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#70
In reply to #66

Re: Would These Gears Turn?

01/21/2009 2:36 PM

Do you really want the ruler? There may be a problem with it too.

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#74
In reply to #66

Re: Would These Gears Turn?

01/21/2009 3:00 PM

Solution to the second gear rotation question

This Meccano model has a closed loop of four different gears. No two of them have the same diameter, and no two have the same number of teeth. They turn smoothly. Any even number of gears, with parallel axles, or even smooth wheels, can be put into such a loop, and they will turn freely. There's a simple way to prove this, using elementary geometry.

The underlying principle isn't physics, but geometry, and it applies not only to gears, but to smooth friction wheels as well. The figure shows two friction wheels of different diameter. When they turn without slipping, the two circles must turn through the same arc, but in opposite sense of rotation. That is, if the left wheel turns clockwise through arc A, the right wheel turns counter-clockwise through arc B, and B = - A.

If these were gears, then if one gear turns through N teeth, the other gear turns through N teeth in the other direction. It follows that if you had a string of an odd number of gears and tried to make a loop by meshing the gears at the end of the loop, their points of contact would be moving in opposite directions. If you closed a loop of an even number of gears, they would all turn quite smoothly through the same arc.

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#91
In reply to #66

Re: Would These Gears Turn?

01/21/2009 7:29 PM

Say in your case you have teeth counts as follows:

A:100, B:50, C:80, D:25. (Your example was D:40, for your 2:1 ratio).

For 1 rev of A (ignoring sign throughout):

B goes 100/50

C goes 100/50 x 50/80

D goes 100/50 x 50/80 x 80/25

Second time round:

A' goes 100/50 x 50/80 x 80/25 x 25/100

Do some 'cancelling out', and for 1 rev of A, A' is 1.

Do the same for any 4 teeth counts - call 'em E,F,G,H. Write it out as above, and it will always 'cancel out' to 1.

If you now repeat, including the direction, you can also show that the absolute value cancels to 1, but for an odd number of gears, 1 rev of A = -1 rev of A'.

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#102
In reply to #63

Re: Is that a Freemason design?

01/22/2009 3:08 AM

Hi phoenix911!

"is that a Free Mason Design?"

I think it might be; and like all Freemason designs I've heard of, it is probably allegorical, intended to mean something more or other than what it appears to mean at first glance, and containing a moral teaching.

Despite what some people might think, I don't believe it stands for any combination of the numbers 9 and 1 being non-functional as far as useful forward progress is concerned just because the coin's gears won't turn. After all, just look at 191, which is at least 40 proof more intoxicating than good ol' 151. Or, for that matter, your own handle's [phoenix911] magnificent rise out of the ashes of disaster .

Rather, it is an extremely reasonable hypothesis that it stands for the age at which babes become hot. Freemasons are big on hot babes.

(Well, some of them probably are! And some maybe not. ¥ do they have gay people in Freemansonry?) Hence, the secret lingo of the group might reasonably be expected to contain, "That babe's a 19!" probably meaning at any age, she's a 19 [...9 more than a '10', dude!]!

Or maybe not. They don't tell.

Mark

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#106
In reply to #102

Re: Is that a Freemason design?

01/22/2009 9:37 AM

← do they have gay people in Freemansonry?)

why. . . . .are you look for a date tonite?

The computer I'm working on, the spell checker doesn't show up or icons

all in jest ;)

phoenix911

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#68

Re: Would These Gears Turn?

01/21/2009 2:25 PM

I've got a million of 'em:

In William Golding's (1911-1993) novel Lord of the Flies (1954) one character, Piggy, is teased by the other boys because he is fat and wears glasses to correct nearsightedness. Later (Ch. 2) they use Piggy's glasses as a burning glass to start a signal fire. What is wrong here?

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#75
In reply to #68

Re: Would These Gears Turn?

01/21/2009 3:00 PM

Oh! I Know that! (speaking as someone who is fat and nearsighted....)

to optically correct nearsightedness, you need a divergent lens.

to focus sunlight you need a convergent lens.

ergo, either the kid was FARSIGHTED, or the story as written is impossible.

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#80
In reply to #75

Re: Would These Gears Turn?

01/21/2009 3:12 PM

You are correct Rorsch, but are you really sure you want that ruler?

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#81
In reply to #80

Re: Would These Gears Turn?

01/21/2009 3:15 PM

Sure... I'll just use optics to correct for the distortion...=b

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#82
In reply to #81

Re: Would These Gears Turn?

01/21/2009 3:17 PM

OK, so what's wrong with the ruler?

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