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→Balance wheel: Added equation for period of balance wheel
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The [[balance wheel]] keeps time for the watch. It consists of a weighted wheel which rotates back and forth, which is returned toward its center position by a fine spiral spring, the [[Balance spring|balance spring or "hair spring"]]. The wheel and spring together constitute a ''[[harmonic oscillator]]''. The mass of the balance wheel combines with the stiffness of the spring to precisely control the [[Period of time|period]] of each swing or 'beat' of the wheel. A balance wheel's [[Frequency|period of oscillation]] ''T'' in seconds, the time required for one complete cycle (two beats), is |
The [[balance wheel]] keeps time for the watch. It consists of a weighted wheel which rotates back and forth, which is returned toward its center position by a fine spiral spring, the [[Balance spring|balance spring or "hair spring"]]. The wheel and spring together constitute a ''[[harmonic oscillator]]''. The mass of the balance wheel combines with the stiffness of the spring to precisely control the [[Period of time|period]] of each swing or 'beat' of the wheel. A balance wheel's [[Frequency|period of oscillation]] ''T'' in seconds, the time required for one complete cycle (two beats), is |
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:<math>T = 2 \pi \sqrt{ \frac {I}{\kappa} } \,</math> |
:<math>T = 2 \pi \sqrt{ \frac {I}{\kappa} } \,</math> |
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where <math>I\,</math> is the wheel's [[moment of inertia]] in kilogram-meter<sup>2</sup> and <math>\kappa\,</math> is the stiffness ([[spring constant]]) of its [[balance spring]] in newton-meters per radian. Most watch balance wheels oscillate at 5, 6, 8, or 10 beats per second. This translates into 2.5, 3, 4, and 5 Hz respectively, or 18000, 21,600, 28,800, and 36,000 beats per hour (BPH). In most watches there is a ''regulator'' lever on the balance spring which is used to adjust the rate of the watch. It has two ''curb pins'' which embrace the last turn of the spring, and can be slid up or down the spring to control its effective length. Sliding the pins up the spring, shortening the spring's length, makes it stiffer, increasing <math>\kappa\,</math> in the equation above, decreasing the wheel's period <math>T\,</math> so it swings back and forth faster, causing the watch |
where <math>I\,</math> is the wheel's [[moment of inertia]] in kilogram-meter<sup>2</sup> and <math>\kappa\,</math> is the stiffness ([[spring constant]]) of its [[balance spring]] in newton-meters per radian. Most watch balance wheels oscillate at 5, 6, 8, or 10 beats per second. This translates into 2.5, 3, 4, and 5 Hz respectively, or 18000, 21,600, 28,800, and 36,000 beats per hour (BPH). In most watches there is a ''regulator'' lever on the balance spring which is used to adjust the rate of the watch. It has two ''curb pins'' which embrace the last turn of the spring, and can be slid up or down the spring to control its effective length. Sliding the pins up the spring, shortening the spring's length, makes it stiffer, increasing <math>\kappa\,</math> in the equation above, decreasing the wheel's period <math>T\,</math> so it swings back and forth faster, causing the watch run faster. |
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===Keyless work=== |
===Keyless work=== |
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Amechanical watch is a watch that uses a mechanism to measure the passage of time, as opposed to modern quartz watches which function electronically. It is driven by a spring (called a mainspring) which must be wound periodically. Its force is transmitted through a series of gears to power the balance wheel, a weighted wheel which oscillates back and forth at a constant rate. A device called an escapement releases the watch's wheels to move forward a small amount with each swing of the balance wheel, moving the watch's hands forward at a constant rate. This makes the 'ticking' sound characteristic of all mechanical watches. Mechanical watches evolved in Europe in the 17th century from spring powered clocks, which appeared in the 15th century.
Mechanical watches are typically not as accurate as modern electronic quartz watches,[1][2][3] and they require periodic cleaning by a skilled watchmaker.[3] Since the 1970s, quartz watches have taken over most of the watch market, and mechanical watches are now mostly a high-end product, purchased for aesthetic reasons, appreciation of their fine craftsmanship,[2] or as a status symbol.[2]
The internal mechanism of a watch, excluding the face and hands, is called the movement. All mechanical watches have these five parts:
Additional functions on a watch besides the basic timekeeping ones are traditionally called complications. Mechanical watches may have these complications:
The mechanical watch is a mature technology, and most ordinary watch movements have the same parts and work the same way.[7]
The mainspring that powers the watch, a spiral ribbon of spring steel, is inside a cylindrical barrel, with the outer end of the mainspring attached to the barrel. The force of the mainspring turns the barrel. The barrel has gear teeth around the outside that turn the center wheel once per hour — this wheel has a shaft that goes through the dial. On the dial side the cannon pinion is attached with a friction fit (allowing it to slide when setting the hands) and the minute hand is attached to the cannon pinion. The cannon pinion drives a small 12-to-1 reduction gearing called the motion work that turns the hour wheel and hand once for every 12 revolutions of the minute hand.
The center wheel drives the pinion of the third wheel, and the third wheel drives the pinion of the fourth wheel. In watches with the seconds hand in a subsidiary seconds dial, usually located above the 6 o'clock position, the fourth wheel is geared to rotate once per minute, and the second hand is attached directly to the arbour of this wheel.
The fourth wheel also drives the escape wheel of the lever escapement. The escape wheel teeth alternately catch on two fingers called pallets on the arms of the pallet lever, which rocks back and forth. The other end of the lever has a fork which engages with an upright impulse pin on the balance wheel shaft. Each time the balance wheel swings through its center position, it unlocks the lever, which releases one tooth of the escape wheel, allowing the watch's wheels to advance by a fixed amount, moving the hands forward. As the escape wheel turns, its tooth pushes against the lever, which gives the balance wheel a brief push, keeping it swinging back and forth.
The balance wheel keeps time for the watch. It consists of a weighted wheel which rotates back and forth, which is returned toward its center position by a fine spiral spring, the balance spring or "hair spring". The wheel and spring together constitute a harmonic oscillator. The mass of the balance wheel combines with the stiffness of the spring to precisely control the period of each swing or 'beat' of the wheel. A balance wheel's period of oscillation T in seconds, the time required for one complete cycle (two beats), is
where 
A separate set of gears called the keyless work winds the mainspring when the crown is rotated, and when the crown is pulled out a short distance allow the hands to be turned to set the watch. The stem attached to the crown has a gear called the clutchorcastle wheel, with two rings of teeth that project axially from the ends. When the stem is pushed in, the outer teeth turn the ratchet wheel on top of the mainspring barrel, which turns the shaft that the inner end of the mainspring is attached to, winding the mainspring tighter around the shaft. A spring-loaded pawlorclick presses against the ratchet teeth, preventing the mainspring from unwinding. When the stem is pulled out, the inner teeth of the castle wheel engage with a gear which turns the minute wheel. When the crown is turned, the friction coupling of the cannon pinion allows the hands to be rotated.
If the seconds hand is co-axial with the minute and hour hand, that is it is pivoted at the center of the dial, this arrangement is called "center seconds" or "sweep seconds", because the seconds hand sweeps around the minute track on the dial.
Initially center seconds hands were driven off the third wheel, sometimes via an intermediate wheel, with the gearing on the outside of the top plate. This method of driving the seconds hand is called indirect center seconds. Because the gearing was outside the plates, it added to the thickness of the movement, and because the rotation of the third wheel had to be geared up to turn the seconds hand once a minute, the seconds hand had a fluttering motion.[8]
In 1948 Zenith introduced a watch with a redesigned gear train where the fourth wheel was at the center of the movement, and so could drive a center seconds hand directly. The minute wheel, which had previously been at the center of the movement, was moved off center and drove the minute wheel indirectly. Any fluttering due the indirect gearing is concealed by the relatively slow movement of the minute hand. This redesign brought all the train gearing between the plates and allowed a thinner movement.[9]
Jewel bearings were invented and introduced in watches by Nicolas Fatio (or Facio) de Duillier and Pierre and Jacob Debaufre around 1702[10][11] to reduce friction. They did not become widely used until the mid 19th century. Until the 20th century they were ground from tiny pieces of natural gems. Watches often had garnet, quartz, or even glass jewels; only top quality watches used sapphire, ruby, or diamond.[10] In 1902, a process to grow artificial sapphire crystals was invented, making jewels much cheaper. Jewels in modern watches are all synthetic sapphire or (usually) ruby, made of corundum (Al2O3), one of the hardest substances known. The only difference between sapphire and ruby is that different impurities have been added to change the color; there is no difference in their properties as a bearing.[12] The advantage of using jewels is that their ultrahard slick surface has a lower coefficient of friction with metal. The static coefficient of friction of steel-on-steel is 0.58, while that of sapphire-on-steel is 0.10-0.15.[13]
Jewels serve two purposes in a watch.[14] First, reduced friction can increase accuracy. Friction in the wheel train bearings and the escapement causes slight variations in the impulses applied to the balance wheel, causing variations in the rate of timekeeping. The low, predictable friction of jewel surfaces reduces these variations. Second, they can increase the life of the bearings. In unjeweled bearings, the pivots of the watch's wheels rotate in holes in the plates supporting the movement. The sideways force applied by the driving gear causes more pressure and friction on one side of the hole. In some of the wheels, the rotating shaft can wear away the hole until it is oval shaped, eventually causing the gear to jam, stopping the watch.
In the escapement, jewels are used for the parts that work by sliding friction:[14]
In bearings two different types are used:
| Where jewels are used in watches[15][16][17] |
| 7 jewel lever watch - has these jewels: |
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| 11 jewel watch - adds: |
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| 15 jewel watch - adds: |
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| 17 jewel watch - adds: |
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| 21 jewel watch - adds: |
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| 23 jewel watch - adds: |
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| Self winding watches add 4 or more
in the winding mechanism, for a total of 25-27 |
The number of jewels used in watch movements increased over the last 150 years as jeweling grew less expensive and watches grew more accurate. The only bearings that really need to be jeweled in a watch are the ones in the going train - the gear train that transmits force from the mainspring barrel to the balance wheel - since only they are constantly under force from the mainspring.[18] The wheels that turn the hands (the motion work) and the calendar wheels are not under load, while the ones that wind the mainspring (the keyless work) are used very seldom, so they do not wear significantly. Friction has the greatest effect in the wheels that move the fastest, so they benefit most from jewelling. So the first mechanism to be jeweled in watches was the balance wheel pivots, followed by the escapement. As more jeweled bearings were added, they were applied to slower moving wheels, and jewelling progressed up the going train toward the barrel. A 17 jewel watch has every bearing from the balance wheel to the center wheel pivot bearings jeweled, so it was considered a 'fully jeweled' watch.[15] In quality watches, to minimize positional error, capstones were added to the lever and escape wheel bearings, making 21 jewels. Even the mainspring barrel arbor was sometimes jeweled, making the total 23. When self-winding watches were introduced in the 1950s, several wheels in the automatic winding mechanism were jeweled, increasing the count to 25-27.
It is doubtful whether adding jewels in addition to the ones listed above is really useful in a watch.[19] It does not increase accuracy, since the only wheels which have an effect on the balance wheel, those in the going train, are already jeweled. Marine chronometers, the most accurate portable timepieces, often have only 7 jewels. Nor does jeweling additional wheel bearings increase the useful life of the movement; as mentioned above most of the other wheels do not get enough wear to need them.
However, by the early 20th century watch movements had been standardized to the point that there was little difference between their mechanisms, besides quality of workmanship. So watch manufacturers made the number of jewels, one of the few metrics differentiating quality watches, a major advertising point, listing it prominently on the watch's face. Consumers, with little else to go on, learned to equate more jewels with more quality in a watch. Although initially this was a good measure of quality, it gave manufacturers an incentive to increase the jewel count.
Around the 1960s this 'jewel craze' reached new heights, and manufacturers made watches with 41, 53, 75, or even 100 jewels.[18][19] Most of these additional jewels were totally nonfunctional; they never contacted moving parts, and were included just to increase the jewel count. For example, the Waltham 100 jewel watch consisted of an ordinary 17 jewel movement, with 83 tiny pieces of ruby mounted around the automatic winding rotor.[20]
In 1974, the International Organization for Standardization (ISO) in collaboration with the Swiss watch industry standards organization NIHS: Normes de l'Industrie Horlogère Suisse published a standard, ISO 1112, which prohibited manufacturers from including such nonfunctional jewels in the jewel counts in advertising and sales literature. This put a stop to the use of totally nonfunctional jewels. However, some experts say manufacturers have continued to inflate the jewel count of their watches by 'upjeweling'; adding functional jeweled bearings to wheels that do not really need them, exploiting loopholes in ISO 1112.[19] Examples given include adding capstones to third and fourth wheel bearings, jeweling minute wheel bearings, and automatic winding ratchet pawls. Arguably none of these additions adds to the accuracy or longevity of the watch.
Some fine mechanical watches will have a world time feature, which is a city bezel as well as an hour bezel which will rotate according to the cities relative time zone.
There are usually 27 cities (corresponding to 24 major time zones) on the city bezel, starting with GMT/UTC:
London
Amsterdam
Berlin
Brussels
Paris
Cairo*
Moscow
Abu Dhabi/Dubai
Karachi
Dhaka
Bangkok
Beijing
Tokyo
Sydney Noumea
Auckland
Samoa
Honolulu Anchorage Los Angeles / 
Vancouver Denver Chicago New York City / Toronto
Caracasa / Puerto Rico
Buenos Aires South Georgia and South Sandwich Islands
Azores
Footnotes:
a. Venezuela switched to UTC-04:30 since 30 December 2007.
Peter Henlein has often been described as the inventor of the first pocket watch, the "Nuremberg egg", in 1510, but this claim appears to be a 19th-century invention and does not appear in older sources.[21]
Until the quartz revolution of the 1970s, all watches were mechanical. Early watches were terribly imprecise; a good one could vary as much as 15 minutes in a day. Modern precision (a few seconds per day) was not attained by any watch until 1760, when John Harrison created his marine chronometers. Precision was attained as from 1854 first by the Waltham Watch Company,[citation needed] through the industrialisation of the manufacturing process of the movement part, in order to attain the necessary precision: they won a Gold Medal at the 1876 Philadelphia Centennial Exposition with a lot of watches taken at random out of the production line, showing the way to their peers in U.S.A. (e.g. Elgin Watch Company) and the worldwide watch industry.[citation needed]
Mechanical watches are powered by a mainspring. Modern mechanical watches require of the order of 1 microwatt of power on average.[citation needed] Because the mainspring provides an uneven source of power (its torque steadily decreases as the spring unwinds), watches from the early 16th century to the early 19th century featured a chain-driven fusee which served to regulate the torque output of the mainspring throughout its winding. Unfortunately, the fusees were very brittle,[citation needed] were very easy to break,[citation needed] and were the source of many problems, especially inaccuracy of timekeeping when the fusee chain became loose or lost its velocity[citation needed] after the lack of maintenance.
As new kinds of escapements were created which served to better isolate the watch from its time source, the balance spring, watches could be built without a fusee and still be accurate.
In the 18th century the original verge escapement, which required a fusee, was gradually replaced in better French watches with the cylinder escapement, and in British watches with the duplex escapement. Then in the 19th century both were superseded by the lever escapement which has been used almost exclusively ever since. A cheaper version of the lever, the pin lever escapement, patented in 1867 by Georges Frederic Roskopf was used in inexpensive watches until the 1970s.
As manual-wound mechanical watches became less popular and less favored in the 1970s, watch design and industrialists came out with the automatic watch. Whereas a mechanically-wound watch must be wound with the pendant or a levered setting, an automatic watch does not need to be wound by the pendant; simply rotating the watch winds the watch automatically. The interior of an automatic watch houses a swiveling metal or brass "plate" that swivels on its axis when the watch is shaken horizontally.[citation needed]
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