Note to Americans and others using even older systems of measurement:
1 kilogramme is approximately 2.2 pounds. Well - depending which of the several 'pound's you happen to be using at the time.
There's a piece of metal more than a century old just outside Paris causing men and women of science a lot of bother. It's considered so important to the world it's kept on land designated international territory, so that no single country can claim it, in a maximum security vault maintained by the International Bureau of …
Perhaps we should launch some sort of gravity probe with several high speed gyroscopes to determine & map the differences in Gravity between to places on earth.
We then should take these results and combine these with altitude & air pressure measurements to determine if the variance is due to these environmental factors.
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Oh! just get on with it, nothing in this universe is perfect, no matter how many bell jars are involved, it's all relative to the observer anyways. You just can't make two things identical, it's all approximation. Why do we insist on believing we are the custodians of perfection in the universe, cos we can chat about it over a latte!. The close proximity of an over-weight IPK botherer would have some bearing on relative mass wouldn't it ? The affect being lessened if a scrawny student of International Kilomass took it home for his/her homework project.
Yes, improve by all means. Improve the approximation and your results will be finer still. But you will never be able to make two, three, four .... kilo blocks of alloy identical in every regard. So it just seems like a bit of an old waste of time when the differences are already comparable to a millionth of a gnats whisker and that's close enough for me, but thanks for asking.
Reminds me of an old joke:
A scientist, an engineer, and a programmer were traveling together through Scotland when the programmer spies a flock of sheep, one of which is black. "There are black sheep in Scotland" he exclaims.
The engineer replies, "Well there is at least one black sheep in Scotland."
To which the scientist says "There is at least one sheep in Scotland that is black on at least one side."
The method used to determine the IPK 'shrinkage' is intercomparison between the other master masses. Theoretically, several other masses could be experiencing an increase in mass, but the statistical likelihood points to the IPK slowly vanishing.
There are significant problems with the 'this here block of stuff is a kg' approach, however, and the point of the exercise of replacing a physical object (an artefact) with a repeatable process to determine a kg mass is to avoid those problems. Should you then desire to have a unit kg (to a theoretically arbitrary accuracy), regardless of where you happen to be, you can produce one through the magic of science -- or more than one.
(And also make the SI consistent with the idea that anyone should be able to produce the base units and thus derived units. So, if you should happen to misplace the IPK, the entire global economy isn't suddenly thrown into chaos because a base unit has vanished. And you probably think it is inconvenient when you misplace your keys...)
For those that care:-
1 Joule = Energy expended applying a force of 1 Newton over 1 metre i.e. 1 N m
1 Newton = Force required to accelerate a mass of one kilogram at one meter per second squared. i.e. kg m s^-2
Therefore
1 J = kg m s^-2 m or kg m^2 s^-2
So which is the prototype football pitch? FA rules allow pitches between between 100 yards (90m/~10 double-decker buses) and 130 yards (120m/~13 double-decker buses) long and between 50 yards (45m/~5 double-decker buses) and 100 yards (90m/~10 double-decker buses) wide.
And which is the protoype double-decker bus? (I'm guessing the Routemaster but open to suggestions from, say, Altlantean fans).
"And which is the protoype (sic) double-decker bus? "
That would presumably be "RM1" the first Routemaster prototype, currently housed at the London Transport Museum. I suspect "RM8" (the first production vehicle) would have to be ruled out as it has changed substantially over the years.
I do not know how "RM1" is cleaned, or how many bell jars it is kept under.
It's the anorak.
Ah yes. Bus enthusiasts, the pinnacle of anorakdom.
One I knew had his smugness quotient raised to stratospheric levels when playing the "Give Us A Break" trivia machine in the local boozer. He'd gone for the "Black Ball challenge" double or quits option on a jackpot win and the question that came up was "When was the last trolleybus run in London?".
Before the sodding answers came up he'd given us the exact date. Its route number. Its make and model. Where it was going from. Where it was going to. When it was due to depart. When it actually departed. When it was due to arrive. When it actually arrived. The name of the bloke driving it.
Yes, he could talk quite quickly under pressure.
For amusement value, when the answers came up he stood there completely foxed at the four years offered until one of us leant over and thumped the right one just in time, having deduced it from the date he'd previously given.
On the plus side, this meant free beer for the rest of the evening. Working against that was that said free beer came with everything we never really wanted to know about trolleybuses, trotted out in painstaking detail over the evening......
And leap seconds is one of the main reasons why we still have the stupidity of "Daylight Savings Time" rather than just getting on with our lives according to actual needs. Which is why we have the stupidity of a twice-daily "rush hour" purely because of some arbitrary numbers on a clock.
Leap seconds are one of the main reasons why we have DST? Run that one by me again Dave, since DST is solely about getting more daylight hours during the summer and harvest, prompted by a desire to reduce fuel costs on the country during war.
Leap seconds? Fuck all to do with it.
DST = we put the clock forwards by an hour in the summer. Did you really need that explaining?
In the summer in the UK, twilight starts at around 4am, daylight around 5 am. Normally, people are sleeping at that point. By putting the clocks forward, it will be light 'later' into the evening than otherwise, people will require less fuel and lighting, and you get a nice long day to get the harvest in, without getting up at 3 in the morning to do so.
You're STILL getting up at 3am in the morning, you retard. You've just fooled yourself that it's not by mucking about with the clocks. Mess with your own clock. Leave the rest of us out of it.
'After having Daylight Saving Time explained to him, a wise old Indian Chief said, "Only the government would believe you can cut a foot off one end of a blanket, sew it onto the other end, and end up with a longer blanket."'
"DST is solely about getting more daylight hours during the summer"
So how do we do that?
Hot air, as emitted from any gathering of politicos, especially those bent on keeping DST. As you may well know, hot air rises, so after a while it will push against the underside of the cloud cover, tearing it up and letting sunlight through.
Um, no, we get more daylight hours during the summer anyway; but they are always roughly evenly spread before and after midday (12:00 in winter). So from March to October, in the Northern hemisphere, we pretend it's an hour later than it really is (so midday occurs around 13:00); all in order to keep business hours as being from 09:00 to 17:00 all year round, as opposed to the more sensible option of leaving the clocks alone and just working from 08:00 to 16:00 in the summer.
I call bollocks on that!
i sync my day by the ringing of my alarm!
in the winter i get up in the dark, in the summer a slumber through many hours of usable celestial illumination.
and on weekends i sleep in (isnt having no kids bliss sometimes - particularly around mid day on a sunday, or anytime at an ATM).
it would take thousands of leap seconds to change things _that_ noticably
Greenwich mean time is so called because it's averaged over the year. There is a difference of up to a quarrter of an hour (called the equation of time) from the actual movement of the Sun.
We generally have hourly time zones, so there's another 30 mins difference, but for political reasons some countries are far from their time zones. Then there's Daylight Saving.
Leap Seconds are trivial in comparison. In the year 5000, we can make a political decision to move UK to what is now Central European Time and the rest of western Europe can move to the next time zone, etc.
"Leap Seconds are trivial in comparison. In the year 5000, we can make a political decision to move UK to what is now Central European Time and the rest of western Europe can move to the next time zone, etc."
Yeah, and move the whole world into chaos.
I'd say the more rational decision would be to abolish leap seconds for technical systems, and only have them for interfaces interacting with humans. If you look at the complexity of a time-zone database you can see that adding leap seconds to it wouldn't make much of a difference. Essentially that's the "GPS"-Approach. GPS doesn't know about leap seconds, it just counts seconds and weeks. Just leave the weeks and you are set.
" .. one metre is equal to the distance travelled by light in vacuum in a 299,792,458th of a second."
The problem with this is that you need an accurate clock to measure the fraction of a second.
I thought that the 'latest' formal definition of a metre is a certain (large) number of wavelengths of a particular emission line from some named element isotope. Using this method, all you need to do is count them, not measure anything else. (Similarly, the second is defined as the time taken for a certain number of cycles of a caesium spectral emission line; only counting is involved with no reliance on other standards.)
The idea behind the definition of the kilogram as a particular number of a certain type of atom has the same principle, obviously.
Once you have the metre, kilogram and second defined in this way, every other SI unit can be derived from them, which is why it used to be called the MKS system (or mKs if you want to be picky).
No, that was the old definition of the metre you're thinking of.
We can now define a second more precisely than we used to, thanks to the invention of atomic clocks, so the metre is defined in terms of the second and the speed of light.
Avogadro's Number of carbon-12 atoms weigh exactly 0.012 kg. by definition, but the question is how accurately we can know Avogadro's number.
OK, so the 'caesium second' is so accurate and repeatable that it's good enough to be used to define the metre. Thank you for explaining that.
As for Avogadro's number, we can know that as accurately as we can define and measure the kilogram ...........aha.
It doesn't matter what Avogadro's number is, as long as it is accurately linked to the 'best' standard kilogram available at the moment. After that, we all agree on that value of Avogadro's number and we don't need a standard reference mass any more.
After that, everything can be linked back to a carefully constructed caesium clock and he ability to count.
Well, in theory, all we have to do is weigh out a quantity of something that matches the international prototype kilogram, count the molecules (without losing count) and re-weigh to make sure it still exactly matches the prototype.
That, however, could well be the very definition of "more easily said than done".
This whole business with Ampere balances versus molecule-counting has something of the history of determining longitude at sea about it.
The scientific establishment set great store by astronomical observation methods, which required precise observations and lengthy calculations; Harrison's method was to compare a watch (an especially accurate one, designed so as not to lose or gain time even while being shaken about on a sea voyage, and therefore always indicating the exact time on the Greenwich meridian) with a sundial showing the local time (which varies by 4 minutes for each degree of longitude).
Us Brits don't piss about with glass jars, steam cleaning and government minders. We just pinned our Imperial measurements to the North wall at Trafalgar Square (with a note that itthey were accurate at 62 degrees Fahrenheit). Joe Public could check out his ruler's accuracy for himself - without the government getting involved.
The pitch drop experiment has absolutely nothing to do with radioactive decay.
In answer to the original question - Radioactive decay is not likely to be a factor - the two elements were chosen precisely because the only radioisotopes are very short lived so they're unlikely to be present. Fun fact though - platinum has one radioactive isotope with a half life measured in the tens of billions of years, so maybe, just maybe, an atom or two in the kilogram has decayed since the standard mass was cast.
At this level of precision of measurement, a few atoms knocked off by a stray dust particle are significant, hence the triple-bagged vacuum storage.
Joules multiplied by seconds, not Joules per second. In terms of basic units, this is kg m^2/s.
In Heisenberg's Uncertainly Law, the uncertainty in Energy (Joules) multiplied by that in time (seconds) must be at least Planck's constant. Likewise, the uncertainty in momentum (kg m/s) multiplied by that in position (metres).
Given that the article is about units, this is a rather fundamental error, but otherwise it's a good article.
If they are that worried about tiny mass differences they might start by putting the damn watt balance in a cleanroom environment. Even a class 10.000 (less than 10.000 free-floatingparticles of 5 micron or bigger per cubic meter,which is quite easy to achieve) would markedly reduce the number of stray fibers, dust and other crud accumilating in the works over time. (And no, just wearing latex gloves like in those piccies doesn't really help in that regard).
Also, How constant are they keeping the temperature and what temperature are they using? If one lab is constantly 23,4 degrees with a lot of equipment humming away, and the other is 21,2 degrees in a nice quiet isolated room, this could have an influence.
The experiment depends on balancing two known forces against an electrical field - dust should not be a factor. Plus, from the limited description of the apparatus, I think it's likely that the measuring parts are in vacuum anyway. Don't go looking for an easy answer from a popularization of the problem.
The issue is that the two experiments are attempting to measure the same thing with different apparatus, but if they have it all worked out properly, they should agree to within the threshhold desired (20 parts per billion).
Like the person wearing two watches not knowing what time it is, they don't know if one experiment is out of adjustment, or both are, or if their assumptions about what they're measuring is wrong.
This is a really fascinating subject. I get the idea of watt balances pretty well, what I would really like to know is how you precisely count a mole of atoms.
This is a general statement, please criticize as I expect you to. But surely you could just say that a kilogram is a certain number of atoms of a certain substance (i.e. Water) at a specific temperature and pressure. Hell at a specific temperature and pressure, you could even say volume of a certain substance. I am aware that this is no doubt incorrect as i am sure this problem would have been solved many years ago had it been as simple as that. Thoughts????
The gramme was originally defined as the mass of a certain volume of water, yes, but this leads to the problem of how you construct a container with that volume. Easy, you say, use accurate rulers to construct and measurer it. Do you see the problem there? It's a lot better and easier to have a lump of stable metal as your defined standard.
As a side note, "a certain number of atoms of a certain substance (i.e. Water)" - water is not atoms, it is molecules. Even then, there are different types of water molecules that have different masses due to containing different isotopes of hydrogen and oxygen: not good for extreme accuracy.
A standard UK Teaspoon is 5ml, A standard UK Teaspoon of granulated sugar (not heaped) is around 4g. which means you can get 250 spoons of sugar out of a 1Kg bag. So using those numbers (very rough initial numbers and need need more precise measurements,) and the using the iconic British standard of Tea, White, one.
A Kilogram is equivalent to 250 cups of Tea!
Presumably, keeping dirt off and stopping atoms leaving the surface is the main issue with the standard kg. So if it was scaled up, say, a million times in mass, the surface would be 10,000 times larger so the problem of keeping it sufficiently clean would be (relatively) 100 times easier.
This is... I want to say hilarious, but I'm not so sure. It's funny though, and I've got a better appreciation for that goold old rough'n'ready Imperial measurement system. Sure, we need proper units for accurate measurements and all, but when all's said and done, the bloke on the street is happy with his 99p WH Smith ruler (cm and Inches) and set of kitchen weights (which still generally come in both metric and imperial, happily).
I quite like the irony in the definition of the meter though. What a rather odd number for the time interval, you'd expect it to be in multiples of 10 for SI, no? ;O)