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IV. If the watch is an analog model, the one-second impulses are transmitted to a stepping motor, which transforms them into mechanical pulses that drive a chain of gears and, ultimately, the watch hands. If it's a digital watch, the integrated circuit continues counting pulses as they add up to minutes, hours, and if the watch has a calendar display, days. In a digital watch the IC also provides the power to the display and contains the watch's setting functions. Because a digital watch has no gears or other moving parts, its construction is called "solid state."   

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The basic formula for
calculating the fundamental frequency 
 calculating the [fundamental frequency|http://en.wikipedia.org/wiki/Fundamental_frequency] (f) of vibration
of a cantilever as a function of its dimensions (quadratic
 of a [cantilever|http://en.wikipedia.org/wiki/Cantilever] as a function of its dimensions (quadratic cross-section) is:\[[1]\|http://en.wikipedia.org/wiki/Quartz_clock#cite_note-Itoh2002-1\]
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where

  • Wiki Markup
    1.875 the smallest positive solution of cos(_x_)cosh(_x_) =
    -1 
     \-1 \[[2]\|http://en.wikipedia.org/wiki/Quartz_clock#cite_note-2\]
  • l is the length of the cantilever
  • a is its thickness along the direction of motion
  • E is its Young's modulus
  • and ρ is its density

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A cantilever
made of quartz (E = 1011 N·m^−2^ = 100 GPa and ρ = 2634 kg·m^−3^ [3
 made of [quartz|http://en.wikipedia.org/wiki/Quartz] (_E_ = 10{^}11^ [N|http://en.wikipedia.org/wiki/Newton_(unit)]·m^−2^ = 100 [GPa|http://en.wikipedia.org/wiki/Pascal_(unit)] and _ρ_ = 2634 [kg|http://en.wikipedia.org/wiki/Kilogram]·m^−3^ \[[3]\|http://en.wikipedia.org/wiki/Quartz_clock#cite_note-3\]) with a length
of 3 mm and a thickness of 0.3 mm has thus a fundamental frequency of around 33 kHz. The crystal is tuned to exactly 215 = 32,768 Hz or runs at a slightly higher frequency with inhibition compensation (see below).
 of 3 mm and a thickness of 0.3 mm has thus a fundamental frequency of around 33 kHz. The crystal is tuned to exactly 2{^}15^ = 32,768 Hz or runs at a slightly higher frequency with inhibition compensation (see below).
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REFERENCES

  1. Wikipedia  +:http://en.wikipedia.org/wiki/Quartz_clock+Image Removed
  2. http://www.capetowncorp.com/whatsnew/quartz.html

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