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Thread: Gravity and a watch

  1. #1
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    Gravity and a watch

    Reading all the threads about the Omega 'moon' watches got me wondering. Given that gravity is a major influence on the accuracy of any mechanical watch, would a watch keep time better in zero gravity? Of course, the moon does have some gravity, but would that Omega have kept better time in space than when back home on earth?

  2. #2
    Not necessarily, but it would be less subject to positional variation. To test this theory, try dropping your watch from a high building.

  3. #3
    Don't forget that it's a near vacuum too, so would be worth taking the back off and giving the balance a chance to work with reduced air resistance...

    Also need to consider the *other* effects of gravity.

    Probably.

  4. #4
    Craftsman Layin_Cable's Avatar
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    Time is relative so there is initially some variation by just travelling to space (Not much, granted).
    The only real effect would be on an Automatic watch, in so far as the rotor would not function at zero gravity, unless of course sufficient force was applied.

  5. #5
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    Quote Originally Posted by Layin_Cable View Post
    The only real effect would be on an Automatic watch, in so far as the rotor would not function at zero gravity, unless of course sufficient force was applied.
    Not strictly true, an auto would work fine, through the movement of the wrist creating force, the rotor however wouldn't stop, or rather take much longer to stop as there wouldn't be an gravitational resistance / weight to stop it, only the friction created as it's rotating.

    I think???

  6. #6
    Master Thewatchbloke's Avatar
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    The laws of inertia still hold true in low/zero gravity so automatics do still function in space.

  7. #7
    Quote Originally Posted by Layin_Cable View Post
    Time is relative so there is initially some variation by just travelling to space (Not much, granted).
    Also none relative to other clocks in the same frame of reference. The watch itself does not run slower or faster, it's time itself that distorts. There is a small time dilation effect between clocks in orbit and clocks on the ground. They have to account for this in GPS satellites, but its nothing compared to the variance of a mechanical watch.

    Quote Originally Posted by Layin_Cable View Post
    The only real effect would be on an Automatic watch, in so far as the rotor would not function at zero gravity, unless of course sufficient force was applied.
    Good point. I don't know why I never put 2 and 2 together before when thinking about why the Speedmaster Pro is hand wound. Kinda obvious when you think about it.

  8. #8
    Quote Originally Posted by Cannop View Post
    The laws of inertia still hold true in low/zero gravity so automatics do still function in space.
    D'oh! I take back my "kinda obvious" statement above. I wonder how this effects the efficiency? For inertia to have a significant effect, you'd need to be constantly rotating the watch, but for gravity to take effect only an alternating tilt is needed. Most wrist movements do not involve much in the way of a rotation around the centre axis of the watch, so gravity significantly amplifies the energy that is put into the system through normal wrist movements.
    Last edited by robt; 12th May 2016 at 12:50.

  9. #9
    Master DB9yeti's Avatar
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    Quote Originally Posted by robt View Post
    Good point. I don't know why I never put 2 and 2 together before when thinking about why the Speedmaster Pro is hand wound. Kinda obvious when you think about it.
    Autos would, and do, work just fine (many astronauts wore their own second watch - pictures seem to show Rolex GMTs). It was more about the timing; at the beginning of the Apollo programme there were no automatic chronographs!

  10. #10
    Quote Originally Posted by robt View Post
    D'oh! I take back my "kinda obvious" statement above. I wonder how this effects the efficiency?
    It makes no difference whatever.

  11. #11
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    How does movement + velocity affect timekeeping? Does it warp the oscillation of the balance spring? For this I recommend some type of anti-velocity escapement-cage.

  12. #12
    Grand Master MartynJC (UK)'s Avatar
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    Quote Originally Posted by iamvice View Post
    How does movement + velocity affect timekeeping? Does it warp the oscillation of the balance spring? For this I recommend some type of anti-velocity escapement-cage.
    The test - drop your watch onto a concrete floor test. See if the escapement is damaged. The change in velocity coming to an abrupt stop should do it

  13. #13
    Quote Originally Posted by Layin_Cable View Post
    Time is relative so there is initially some variation by just travelling to space (Not much, granted).
    It's more than you might think - you need to adjust the atomic clock when you send a GPS satellite up...

  14. #14

    Gravity and a watch

    Quote Originally Posted by Broussard View Post
    It's more than you might think - you need to adjust the atomic clock when you send a GPS satellite up...
    This is really interesting, because GPS satellites are affected by both special and general relativity—in different directions!

    Special relativity says that if you travel fast (relative to someone else) your clock runs slow (relative to someone else's). Satellites are going a lot faster than we are, so this effect is detectable.

    However, general relativity says that if you're in a lower gravity field than someone else, then your clock appears to run fast (relative to someone else's). Satellites are further away from the Earth than we are, so they experience less gravity.

    So which of Einstein's theories wins? It turns out the speed-up effect of general relativity is about six times bigger than the slow-down effect of special relativity. So, as you say, the atomic clocks aboard GPS birds are adjusted to take account of this. If they weren't, the error in ground position would be very serious.

  15. #15
    I wrote about it recently here, but in relation to Interstellar and Japanese clocks. Probably.

    http://www.thewatchnerd.co.uk/interstellar-soundtrack/

    Quote Originally Posted by bitfield View Post
    This is really interesting, because GPS satellites are affected by both special and general relativity—in different directions!

    Special relativity says that if you travel fast (relative to someone else) your clock runs slow (relative to someone else's). Satellites are going a lot faster than we are, so this effect is detectable.

    However, general relativity says that if you're in a lower gravity field than someone else, then your clock appears to run fast (relative to someone else's). Satellites are further away from the Earth than we are, so they experience less gravity.

    So which of Einstein's theories wins? It turns out the speed-up effect of general relativity is about six times bigger than the slow-down effect of special relativity. So, as you say, the atomic clocks aboard GPS birds are adjusted to take account of this. If they weren't, the error in ground position would be very serious.

  16. #16
    Quote Originally Posted by bitfield View Post
    So which of Einstein's theories wins?
    It's worth noting that the theories aren't actually contradictory as could be inferred from the above, it's just that special relativity is only correct in specific circumstances. It's a special case of general relativity (hence the names) that makes the maths a lot simpler.

    Don't want to go reinforcing the idea that scientific theories are the same thing as when a layperson talks about having "a theory" about something, i.e., an unsubstantiated idea.

  17. #17
    Quote Originally Posted by robt View Post
    It's worth noting that the theories aren't actually contradictory as could be inferred from the above, it's just that special relativity is only correct in specific circumstances. It's a special case of general relativity (hence the names) that makes the maths a lot simpler.
    There's no reason to conclude that they're contradictory (how could they be, if they both have a measurable effect on satellites?) It's just that in this case, their effects act in opposite directions, like running up the down escalator.

    If we're stickling (and you know I love to stickle) then I'll point out that special relativity is 'correct' in all circumstances. It's just we don't notice its effects unless the speed differential is very great (fractions of the speed of light).

    Similarly, we don't normally notice the effects of general relativity much, because we're all in the same acceleration frame (that is to say, we experience roughly the same amount of gravity), except for astronauts. But it is measurable, especially with atomic clocks, and you can actually measure and confirm the fact that a clock upstairs runs faster than one downstairs.

  18. #18
    Quote Originally Posted by bitfield View Post
    Similarly, we don't normally notice the effects of general relativity much, because we're all in the same acceleration frame (that is to say, we experience roughly the same amount of gravity), except for astronauts. But it is measurable, especially with atomic clocks, and you can actually measure and confirm the fact that a clock upstairs runs faster than one downstairs.

    Tom van Baak did this a decade ago. Took his family on vacation to Mt Ranier (from memory) with a pair of caesium clocks.

    Edit: here's the link http://www.leapsecond.com/ptti2006/

  19. #19
    Quote Originally Posted by Broussard View Post
    Tom van Baak did this a decade ago. Took his family on vacation to Mt Ranier (from memory) with a pair of caesium clocks.
    "The family mini-van was converted into a mobile atomic time lab."

    Brilliant.

  20. #20
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    Quote Originally Posted by Broussard View Post
    Don't forget that it's a near vacuum too, so would be worth taking the back off and giving the balance a chance to work with reduced air resistance...

    Also need to consider the *other* effects of gravity.

    Probably.
    I think the movement would work just fine in near vacuum conditions, as long as the pressure in the watch wasn't released explosively but you may find that the watch runs slightly fast since it would have been originally regulated with the balance wheel and forks and wheels moving in an environment subject to drag from the gas within the watch. I would guess that the effects of friction on the bearings is way more significant but even so the missing effect of air drag should speed things up slightly I should think, perhaps of the order of a few seconds a day.

  21. #21
    Quote Originally Posted by Padders View Post
    the missing effect of air drag should speed things up slightly I should think, perhaps of the order of a few seconds a day.
    That sounds massively too much to me. A decent watch is accurate to a few seconds a day anyway, so suggesting that air resistance would make 100% difference must be overstating it. Don't forget drag is proportional to cross-sectional area, and these components are tiny, and air doesn't have much resistance anyway. If you could measure the difference at all (without an atomic clock) I'd be surprised.

  22. #22
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    Quote Originally Posted by bitfield View Post
    That sounds massively too much to me. A decent watch is accurate to a few seconds a day anyway, so suggesting that air resistance would make 100% difference must be overstating it. Don't forget drag is proportional to cross-sectional area, and these components are tiny, and air doesn't have much resistance anyway. If you could measure the difference at all (without an atomic clock) I'd be surprised.
    While the absolute error may be 100% more than with gas present, of more relevance IMO is that for the watch to gain, say 10 seconds a day it would be a speed up of 10s/86400s= 0.01% increase. It strikes me that air resistance or the lack thereof is more than capable of effecting such a small change in rate.
    Last edited by Padders; 13th May 2016 at 17:52.

  23. #23
    Master sean's Avatar
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    Quote Originally Posted by Padders View Post
    While the absolute error may be 100% more than with gas present, of more relevance IMO is that for the watch to gain, say 10 seconds a day it would be a speed up of 10s/86400s= 0.01% increase. It strikes me that air resistance or the lack thereof is more than capable of effecting such a small change in rate.
    You're saying air resistance alone can cause a watch to deviate by 10s per day?

  24. #24
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    Quote Originally Posted by sean View Post
    You're saying air resistance alone can cause a watch to deviate by 10s per day?
    I am saying that the total lack of air resistance would cause a measurable change to the rate of a mechanical watch with a spinning balance wheel. Obviously a quartz or tuning fork movement wouldn't see any effect. To be honest, this debate is a little academic since a much more measurable effect would caused be the massive drop in temperature experienced outside the Earth's atmosphere which would vastly change the elasticity of the balance spring and thus the rate of oscillation. Normal temperature compensation can't deal with a 200 degree temp swing.
    Last edited by Padders; 13th May 2016 at 19:10.

  25. #25
    Quote Originally Posted by Padders View Post
    I am saying that the total lack of air resistance would cause a measurable change to the rate of a mechanical watch with a spinning balance wheel.
    I think this would actually have a neglible effect on timekeeping, because a balance wheel is governed by the same laws as a pendulum - that's what makes a watch run at a constant rate. Less air resistance would maybe give a slight increase in amplitude, but that would not affect the period by very much.

  26. #26
    Quote Originally Posted by Padders View Post
    Normal temperature compensation can't deal with a 200 degree temp swing.
    Neither can the person wearing the watch :)

  27. #27
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    Quote Originally Posted by robt View Post
    Neither can the person wearing the watch :)

    Ha! I was of course assuming that the human involved was adequately protected in an EVA suit. You may have a good point about the main effect of lack of drag simply increasing the amplitude rather than effecting the rate. It might make for an interesting experiment if we had access to a vacuum chamber. I did a module in low pressure physics at Uni and did a experimental project on molecular interaction at very low pressures but I didn't think to put a watch in!

  28. #28
    High precision clocks often make use of vacuums...

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