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Pendulum Length

06/06/2016 8:44 AM

I have a puzzle with a pendulum. Over the years I have acquired a collection of clocks, mostly set up in our house by the seller. All ran well until we moved house. This should have been an improvement for the long-case clocks, as the new room has a bare wooden floor instead of carpet. However, when I put the pendulums back after the move one clock started by running very fast (20 minutes a day). After unscrewing the pendulum bob down to the end (about 1 1/2 inches movement) the clock was still running fast.

On inspection the forked strip from which the pendulum hangs appears to have 3 notches (see pics) and I had been using the leftmost (nearest to clock face) notch. When I moved the pendulum to the rightmost (rear) notch, and screwed the pendulum bob up to where it was to start with, all was suddenly well with the timekeeping.

The multiple suspension points appear to be unique to this clock - all my others have a single notch.

The difference in length from the suspension point to the escapement actuating lever is minimal. What is happening?

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#1

Re: Pendulum length

06/06/2016 9:41 AM

It is possible the carpet is permitting a little bit of sway to he top of the clock whereas the bare floor isn't. What happens if the carpet goes back under the clock?

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#2

Re: Pendulum length

06/06/2016 9:57 AM

It's hard to tell how the mechanism works from the photos, but it looks like there is a pivot point on the underside of the brass piece that holds the pendulum. It looks like the brass piece with the 3 rounded grooves pivots on that spindle. It may be that by moving the pendulum to the outermost (deeper) groove there is more friction between the brass support and the spindle on which it rotates. More friction would cause the pendulum to swing at a slower speed, thus making the clock run slower - in this case, at normal speed.

When you placed the pendulum on the innermost groove there was less friction between the brass piece and the spindle, so it ran faster.

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#13
In reply to #2

Re: Pendulum length

06/07/2016 6:14 AM

The brass piece with the 3 rounded grooves is fixed. The visible pivot supports a shaft, on one end of which is the anchor escapement. On its other end the L-shaped lever (crutch) is fixed, taking up the movement of the pendulum and transmitting it to the escapement.

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#3

Re: Pendulum length

06/06/2016 10:26 AM

Twenty minutes fast in 24 hours means the period is about .986 the correct time. Pendulum period is proportional to square root of length, so if the problem were due to pendulum length, the length would be .9724 the correct length, or about 1/4 inch short for every 10 inches of pendulum length. You are right, the notch difference is far too small.

The only other thing I can guess is that there is a little flex in the pendulum support bearing and moving the weight of the pendulum closer to the bearing is affecting the escapement, allowing it to occasionally "skip a notch".

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#4

Re: Pendulum length

06/06/2016 10:55 AM

If it's a grid iron pendulum move the outer support rods to the middle position.

My WAG is the outer rods are over compensating for temperature.

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#15
In reply to #4

Re: Pendulum length

06/07/2016 6:29 AM

The gridiron pendulum had been invented when this clock was made, but this is a standard (I will not say simple) pendulum for a long-case clock. It is suspended from a fixed point, with a short length of spring steel providing the flexibility to swing, with a period of 2 seconds.

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#5

Re: Pendulum length

06/06/2016 2:30 PM

It looks like from the picture that the inner most notch that the pendulum hangs from would closely align the pendulum to the L-shaped mechanism possibly reducing resistance of the mechanical movement....My guess as is others the carpet had some effect, possibly some slight wobble or angle....

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#6

Re: Pendulum Length

06/06/2016 8:10 PM

Could you repeat the experiment? Move the pendulum back to the outside notch and see if the clock again runs fast. More than once have I been puzzled by something that made no sense only to finally retrace my steps and find that something else had happened.

PWSlack had a good idea. If you have a piece of carpet, it might be interesting to see the effect of the clock sitting on carpet. It's my guess that it would tend to run faster on carpet because the pendulum would swing about a point below the pivot if the rest of the clock could sway in the opposite direction of the pendulum.

If it doesn't make sense, do some more experiments. Sooner or later it's got to reveal the secret.

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#16
In reply to #6

Re: Pendulum Length

06/07/2016 6:42 AM

I have moved the pendulum back to the first position and will report on the timekeeping. Regrettably I shall leave the carpet experiment alone. Owners of old clocks have enough hassle setting them up in a stable position in the first place.

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#17
In reply to #16

Re: Pendulum Length

06/07/2016 7:22 AM

Methinks the 3 pivot locations provide 3 options for coarse height adjustment and the finer adjustment is the vernier screw at the bob. Similar to this Whitehurst one below which only has 2 locations available.

Is it likely that in the old location before the clock was moved that the pendulum support being used is not the same one used after relocation ?

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#26
In reply to #6

Re: Pendulum Length

06/08/2016 4:59 AM

I have tried the first experiment, moving the pendulum back to the notch nearest the clock face (left in my original photo). At the same time I had to bend the L-shape so that the brass block did not bind in the fork. The clock ran faster, though not as fast as originally.

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#30
In reply to #26

Re: Pendulum Length

06/08/2016 7:19 AM

Try doing this. Hang a string from the the brass block with the 3 notches. Then tie something not too heavy to the other end of the string. See how plumb it is.

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#7

Re: Pendulum Length

06/06/2016 11:48 PM

Gravity varies with underground rock formations, substrate densities, and water deposits. Also elevation is a factor. You may be in a "twilight zone" for gravitation.

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#8
In reply to #7

Re: Pendulum Length

06/06/2016 11:51 PM

Altitude changes the air pressure and density so the clock could run faster.

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#9

Re: Pendulum Length

06/07/2016 12:28 AM

That triple notched suspension point is definitely unique. Do you have the name of the movement maker? I suspect that if you put a straight edge across the top and measured the depth of the notch they would follow some fixed ratio like 1:2:4. The intent is not to alter the distance from the suspension point to the actuating lever (the crutch) but to alter the overall length of pendulum. Even though the difference is minimal it should be enough to affect the period. It could also be there to adjust for large seasonal changes in the ambient temperature since they will affect the period as the average air density changes, and all the owner had to do was shift its position without retiming the bob with the adjusting screw.

What does the pendulum weight (the bob) look like and is it the original? How many days will it run between windings?

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#12
In reply to #9

Re: Pendulum Length

06/07/2016 6:03 AM

The maker's name is Whitehurst of Derby (UK), a very well respected family of clockmakers. John Whitehurst senior lived 1713-1786 and had Benjamin Franklin, Erasmus Darwin and Josiah Wedgwood as friends. I suspect, however, that this clock was made by son or grandson. It runs for 8 days between windings. The case is relatively crude by comparison with the quality of the movement.

Attached is a picture of the pendulum bob (at present back to front).

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#10

Re: Pendulum Length

06/07/2016 12:36 AM

Back in one of my previous careers, I worked on mechanical movements. This three position pivot point is interesting and I believe it has to do with the position of the pendulum (relative to front to back of the clock). For the grooved piece, use position a as the notch closest to the face, position b is the middle notch and position c it the notch furthest from the face. The slot here the pendulum rod hits the escapement rod, we'll call it x.

1. Hook in position a = pendulum pushed further back. Draw a line from a to x and continue down to the pendulum.

2. Hook in position b = pendulum in middle. Draw a line from b to x and continue down to the pendulum.

3. Hook in position c = pendulum pushed further forward. Draw a line from c to x and continue to the pendulum.

For small changes in a, b or c to x, a large change will occur at the pendulum. If the movement isn't plumb, you would use one of the three notches to compensate. Each notch is for a large adjustment, while the screw at the bottom of the pendulum is for a fine adjustment.

A good way to prove this is true, measure the maximum swing of the pendulum in the current position (c). Then move the arm to position (a) and measure the maximum swing. The swing will be less in position (a) - the beat will be faster.

Some general information about clocks. Better quality movements use a suspension spring to connect the top pivot point to the base (solid part) of the movement. An arm from the escape attaches to the leader, which is where the pendulum attaches to. The suspension spring controls the left and right movement of the pendulum and how much resistance the pendulum has.

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#19
In reply to #10

Re: Pendulum Length

06/07/2016 9:25 AM

Are you available to broker my next car purchase? I like your attention to detail!

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#27
In reply to #19

Re: Pendulum Length

06/08/2016 7:04 AM

Thanks Wayne. I am intrigued by watch and clock movements. If you ever get the opportunity to study movements with complications (repeaters, day/date, moonphase, chronographs, etc) you'll get an appreciation for how the watchmakers kept the regular watch operating accurately, while at the same time the complication drew power from the mainspring. Some had a separate mainspring (I have a 1950's Cricket Alarm watch that has two mainsprings) which the complication ran off of, but most didn't.

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#11

Re: Pendulum Length

06/07/2016 4:59 AM

Just a point of clarification: had you definitely been using the notch nearest the clock face in the old house?

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#14
In reply to #11

Re: Pendulum Length

06/07/2016 6:24 AM

That I cannot say. The point remains, however, that a minimal change in the height of the suspension point results in a substantial change in timekeeping. I am grateful to Autobroker #10 for his comment.

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#18

Re: Pendulum Length

06/07/2016 8:09 AM

you could try adding to, or removing a bit of the weight of the pendulum!

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#20
In reply to #18

Re: Pendulum Length

06/07/2016 9:58 AM

I believe that the pendular principle is that the position of the centre of gravity is important, but not the actual weight. In any case I'm not going to interfere with a working part of an antique. I'm coming round to the idea at which Autobroker and others have hinted, that the spring steel portion of the pendulum may be as important as the pendulum length

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#21

Re: Pendulum Length

06/07/2016 11:29 AM

I am pretty sure the answer lies in location of application of driving power to the pendulum.

Left to it's own devices, the period of the pendulum swing depends solely on gravity and the length of the pendulum. However, as soon as you apply force to drive the pendulum and extract force to pull the mechanism free of the escapement wheel, you start affecting the force balance, velocities and timing of the pendulum.

I see that there is a brass block of sorts that engages the fork that both pushes and pulls on the pendulum. The point at which the fork presses on the block and the force applied has an affect on the pendulum period and shortening or lengthening the distance between the driving force and the top of the pendulum has a significant effect on the period.

Astronomical clocks of the period commonly used a different escapement that would push the pendulum for 1 swing and would then disengage for the next several swings so that the pendulum would swing with a more consistent and "natural" average period. During the same period, a lot of effort also went into making the driving force consistent, such as verge-fusee type watches where the spring drove a case with a snailshell sort of track on top with a drive cable or chain running on the track. This compensated for the change in spring force between fully wound and almost unwound.

In short, the notches on the pendulum support change the point of application of lateral forces on the pendulum. The change in moment arms affects the period of the pendulum when under power.

BTW. I have had situations where clocks moved to a hard floor from carpet will interact more than they used to. The swing of the pendulum wants to make the clock sway which puts a stress on the floor. The floor structure can transmit the movement to the base of a nearby clock, causing it to sway minutely and affect the pendulum swing. You can get some weird things like one clock loses swing amplitude while the clock next to it develops overswing and starts banging the case with the pendulum. In that case, both clocks were on a floor where the joists ran perpendicular to the wall and the floor flexed like a standing sine wave. You could stop and restart one clock out of sync, but eventually they would sync in and something strange would happen. The fix was to move one of the clocks a little bit and add a bunch of boxes of shotgun ammunition into the bottom of the clock case.

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#22
In reply to #21

Re: Pendulum Length

06/07/2016 12:25 PM

shortening or lengthening the distance between the driving force and the top of the pendulum has a significant effect on the period. I think this is the conclusion we are coming to.

During the same period, a lot of effort also went into making the driving force consistent, such as verge-fusee type watches where the spring drove a case with a snailshell sort of track on top with a drive cable or chain running on the track. This compensated for the change in spring force between fully wound and almost unwound. That is true, and I have a couple of spring-driven clocks with fusees. However, this one is weight-driven, making the driving force constant.

As a digression, one of my other clocks has an Ansonia (New York) movement. The driving and striking trains have been combined into a single driving train and fitted into a ship's clock casing. The oddity for me is that both the movements have to be wound anticlockwise, a feature I have seen from no other clock manufacturer.

Thank you all for your contributions.

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#28
In reply to #22

Re: Pendulum Length

06/08/2016 7:12 AM

Pocket watches with fusee chains wind backward - counterclockwise. The fusee chain is like a tiny bicycle chain that winds (loads the spring) and unwinds to power the movement. Someone was smart enough to create a cone shaped piece that the chain wound on. As the spring unwound (and lost power) the chain would move down the cone and compensate for the difference in spring power.

When you have a chance, do a Google search on Abraham Brequet. He was a watchmaker in the late 1700 to early 1800's. He did some amazing things with pocket watches. A mechanical engineering genius.

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#23

Re: Pendulum Length

06/07/2016 2:31 PM

The central puzzle is "why does changing the notch change the period of the pendulum". The difference of 20 minutes per 24 hours is about 1.4 percent. Two things come to mind, both related to friction.

As has been mentioned before (Usbport #2), the pendulum weight is further from the visible bearing increasing the force on that bearing (and the other bearing not visible) and could increase the friction, lengthening the period.

The second factor is that hanging on a different notch, the pendulum swings in a slightly different path. If it is swinging closer to back wall of the clock for example, perhaps the increased wind resistance could slow it down.

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#24
In reply to #23

Re: Pendulum Length

06/07/2016 2:53 PM

I've been building clocks for about 20 years now and pendulum length change isn't the answer. In this case, the length of the pendulum is constant regardless of which notch it goes in.

The answer is the driving force on the pendulum.

The force applied by the driving fork is constant and about 2-3" below the spring attachment. When you move the pendulum up or down, you do not change the length of the pendulum, but you do change where the driving force is applied. The driving force adds to the gravity and determines the period of the pendulum.

As you move the pendulum down, the force is applied higher and generates a smaller moment driving the stroke of the pendulum. The pendulum runs slower.

As you move the pendulum up, the point of application of driving force is lower on the pendulum, the moment is greater and when added to gravity, the pendulum period is faster.

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#29
In reply to #24

Re: Pendulum Length

06/08/2016 7:14 AM

GA to you! I was trying to explain it with my description, but yours clears things up better.

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#31
In reply to #24

Re: Pendulum Length

06/08/2016 7:47 AM

If someone still doesn't see how this works, consider the following:

Let's make up an extreme case where the first notch is in front of the clock face (not possible, but we're hypothesizing), so the pendulum will then be at a 45 degree angle to the clock face. Let's call gravity a force in the Y axis and the escapement imparts a force in the X axis. The pendulum swings in the XY plane (left and right) and not in the Z axis (front to back). The moment arm of the pendulum in the XY plane will be root 2/2, because of the 45 degree angle. In the XY plane, the pendulum is only 0.707 as long, thus you've effectively shortened the pendulum which reduces the arc, which shortens the period and makes the clock run fast.

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#32
In reply to #31

Re: Pendulum Length

06/08/2016 7:57 AM

Aha, I think we have a misunderstanding here. The slot in the crutch (the L-shaped lever), is sufficiently long to allow the pendulum to hang vertically, whichever suspension notch is chosen.

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#33
In reply to #24

Re: Pendulum Length

06/08/2016 10:04 AM

I think you got it. Thanks, that makes sense. Lots of times there's no substitute for practical experience! GA from me.

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#25

Re: Pendulum Length

06/08/2016 12:01 AM

This probably has nothing to do with the problem to hand.

But it is interesting.

32 Metronome Synchronization - YouTube

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#34
In reply to #25

Re: Pendulum Length

06/08/2016 12:03 PM

Perfect example of the two clock interaction.

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