{"id":8211,"date":"2021-10-30T22:43:21","date_gmt":"2021-10-30T20:43:21","guid":{"rendered":"https:\/\/www.erwinsattler.com\/unkategorisiert\/the-pendulum-a-precise-mechanical-oscillating-system\/"},"modified":"2025-10-02T13:47:57","modified_gmt":"2025-10-02T11:47:57","slug":"the-pendulum-a-precise-mechanical-oscillating-system","status":"publish","type":"post","link":"https:\/\/www.erwinsattler.com\/en\/magazine\/the-pendulum-a-precise-mechanical-oscillating-system\/","title":{"rendered":"The Pendulum &#8211; A Precise Mechanical Oscillating System"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"8211\" class=\"elementor elementor-8211 elementor-5701\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-313a7e6a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"313a7e6a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4b9d14b9\" data-id=\"4b9d14b9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-588d31cb elementor-widget elementor-widget-heading\" data-id=\"588d31cb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">The Pendulum &#8211; A Precise Mechanical Oscillating System<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1107ba2 elementor-widget elementor-widget-text-editor\" data-id=\"1107ba2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t30. Oct 2021\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fe95f7a elementor-hidden-desktop elementor-hidden-tablet elementor-hidden-mobile elementor-widget elementor-widget-shortcode\" data-id=\"fe95f7a\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><div class=\"my-post-views-wrapper\">\n    <div class=\"post-views content-post post-8211 entry-meta load-static\">\r\n\t\t\t\t<span class=\"post-views-icon dashicons dashicons-chart-bar\"><\/span> <span class=\"post-views-label\">Post views<\/span> <span class=\"post-views-count\">946<\/span>\r\n\t\t\t<\/div>\n<\/div>\n\n<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-31a4d2d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"31a4d2d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-361a439\" data-id=\"361a439\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9c02393 elementor-widget elementor-widget-shortcode\" data-id=\"9c02393\" data-element_type=\"widget\" data-widget_type=\"shortcode.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-shortcode\"><span property=\"itemListElement\" typeof=\"ListItem\"><a property=\"item\" typeof=\"WebPage\" title=\"Go to Erwinsattler.com.\" href=\"https:\/\/www.erwinsattler.com\/en\/\" class=\"home\" aria-current=\"page\"><span property=\"name\">Home<\/span><\/a><meta property=\"position\" content=\"1\"><\/span><\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4b5db51 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4b5db51\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4b51069\" data-id=\"4b51069\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4c4866d elementor-widget elementor-widget-text-editor\" data-id=\"4c4866d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>As early as the 16th century, renowned astronomers and natural scientists were already studying the peculiarities and behaviour of the pendulum, or what was then called the gravity pendulum. In elaborate experiments and calculations, they came to the conclusion that the period of oscillation of a pendulum with thread suspension did not depend on the mass or shape of the pendulum body, but only on the length of the pendulum itself. A pendulum, once set in motion, always needs the same time for one oscillation. So it was obvious to use this effect in wheel clocks. At that time, clocks were relatively inaccurate and the search for the most precise oscillation system, by which time could be measured or displayed, was not finished.<\/p><p>\u00a0<\/p><p>Today we know various oscillation systems like the balance (for mechanical watches), the quartz (for watches with battery operation) or even the pendulum. The latter is still the most accurate mechanical oscillator which is still used for high-precision, fixed or suspended clocks.<\/p><p>\u00a0<\/p><p>In 1585, as mentioned above, Galileo Galilei made the discovery that the frequency at which a pendulum swings is determined primarily by its length and the local gravity surrounding it. In addition, he observed that the amplitude of a pendulum has no influence on the duration of a pendulum oscillation; this is described today with the term isochronism. With regard to the isochronism, however, we know today that it is only approximately valid for very small pendulum oscillations.<\/p><p>\u00a0<\/p><p>Because a pendulum, once set in motion, permanently loses its amplitude due to various disturbing influences such as gravity, air resistance or even the friction of the pendulum suspension, force must be applied to it at regular intervals. In the case of a fine pendulum clock, a weight is responsible for this, which transmits the force to the pendulum by means of the clockwork. At this point it should be mentioned that the weight in this case is the absolute energy store to be favoured, as it has a permanently constant (weight) force.<\/p><p>\u00a0<\/p><p>If a pendulum is now installed in a fixed clock, is driven with constant force and its length is adjusted to the exact geographical position, the clock should display the time with maximum accuracy. However, this is not automatically the case! Now further disturbing factors come up to the existing system. First and foremost these are temperature fluctuations, air pressure fluctuations and also fluctuations in humidity.<\/p><p>\u00a0<\/p><p>The disturbing air humidity can be remedied very quickly by painting wooden pendulum rods or even using metal rods.<\/p><p>\u00a0<\/p><p>A bigger problem are the deviations due to temperature fluctuations. At high temperatures materials expand, the pendulums become longer and thus slower, the clocks slows down. At cold temperatures the effect is reversed. The first step was to use special types of wood that did not react very well to these fluctuations. This was followed by experiments with complicated and costly constructions of various rods made of different metals that were supposed to compensate or equalize each other in order to avoid the change in length of the pendulum rod due to the temperature, the so-called grid-iron pendulum. Finally, at the end of the 19th century, the French scientist Charles-Edouard Guillaume discovered an iron-nickel alloy that was groundbreaking.<\/p><p>\u00a0<\/p><p>The coefficient of thermal expansion of this new material was 10 times lower than steel and 5 times lower than selected woods. This new \u201cinvariable\u201d metal was therefore, obviously, given the name Invar.<\/p><p>\u00a0<\/p><p>Since the invar nevertheless has a low thermal expansion, clocks with rate deviations of several seconds per month were possible, but better values could not be achieved by invar alone.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ddf3946 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ddf3946\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-22b49ef\" data-id=\"22b49ef\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bb13375 elementor-widget elementor-widget-image\" data-id=\"bb13375\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel_Quadrat-1024x1024.png\" class=\"attachment-large size-large wp-image-7574\" alt=\"Hand h\u00e4lt einen Inbusschl\u00fcssel, der in eine mechanische Vorrichtung an einem Pendelstab eingef\u00fchrt wird.\" srcset=\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel_Quadrat-1024x1024.png 1024w, https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel_Quadrat-300x300.png 300w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-08bc9fc\" data-id=\"08bc9fc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-e2aa8c8\" data-id=\"e2aa8c8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-a460e3f\" data-id=\"a460e3f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-20 elementor-top-column elementor-element elementor-element-f16fc80\" data-id=\"f16fc80\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c888cd5 elementor-widget elementor-widget-image\" data-id=\"c888cd5\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/Regulierung-durch-Gewicht_Quadrat-1024x1024.png\" class=\"attachment-large size-large wp-image-7575\" alt=\"Eine Hand h\u00e4lt eine Pinzette und positioniert eine kleines Feinreguliergewicht zwischen zwei Pendelgewichten.\" srcset=\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/Regulierung-durch-Gewicht_Quadrat-1024x1024.png 1024w, https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/Regulierung-durch-Gewicht_Quadrat-300x300.png 300w, https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/Regulierung-durch-Gewicht_Quadrat-150x150.png 150w, https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/Regulierung-durch-Gewicht_Quadrat-768x769.png 768w, https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/Regulierung-durch-Gewicht_Quadrat-1536x1536.png 1536w, https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/Regulierung-durch-Gewicht_Quadrat-2046x2048.png 2046w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5ba6b08 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5ba6b08\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-294344e\" data-id=\"294344e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-27d7fd3 elementor-widget elementor-widget-text-editor\" data-id=\"27d7fd3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<section class=\"av_textblock_section av-k9b242bx-d87e983fa0e0e916073c5b6e025c5646 \"><div class=\"avia_textblock\"><p>In 1896, the entrepreneur Sigmund Riefler invented a further improved compensation system to compensate for temperature fluctuations. He used Invar for the pendulum rod and placed a so-called compensation tube on top the regulating nut located at the bottom of the rod. This tube was limited at the bottom by the regulating nut, but could expand freely upwards (when heated). In order to perfect the compensation, the compensation tube reached exactly into the middle of the pendulum body. In simple terms, the compensation tube therefore expands upwards when heated, by the same length, by which the pendulum rod expands downwards. The pendulum bob remains in exactly the same position at different temperatures! Now the way was paved for the construction of high-precision pendulum clocks and the achievement of exceptionally good rates was no longer influenced by temperature fluctuations.<\/p><p>\u00a0<\/p><p>Last but not least the third disturbing factor, the permanently changing air pressure. Here, too, an innovative invention made it possible to achieve a significant improvement with regard to the accuracy of the rate \u2013 but more about this and also in more detail in one of our next magazine articles!<\/p><p>\u00a0<\/p><p>Now we want to take a brief look at regulation, i.e. how a pendulum clock is precisely adjusted.<\/p><p>\u00a0<\/p><p>Roughly, this is done by adjusting the length of the pendulum, which means that the pendulum lens has to be moved upwards to shorten the pendulum and thus accelerate the clock. Moving it downwards therefore causes a slower swinging pendulum. In most pendulum clocks this is done by the so-called regulating nut. This is located at the lower end of the pendulum and supports the pendulum body. If now the nut is turned so that the pendulum body is lifted, i.e. shifted upwards, the pendulum will accelerate, because it has become shorter (with regard to its centre of gravity).<\/p><p>\u00a0<\/p><p>This method of regulating is sufficient for most clocks to achieve good rates, but not so for precision pendulum clocks. Here we use another inconspicuous invention to achieve much better pendulum movements. The so called Huygens\u2019 runner or fine adjustment table. It is located exactly in the middle between the point of suspension and the centre of gravity of the pendulum on the pendulum rod \u2013 at this position the effect of the following fine adjustment is greatest.<\/p><p>\u00a0<\/p><p>If a pendulum has already been adjusted as accurately as possible by means of the adjusting nut, it should be held in oscillation as smoothly as possible. Conversely, this means that a further improvement in accuracy must\/should be made to the swinging pendulum. If you want to make the pendulum swing faster, i.e. shorten it, you have to put small weights on the regulating disc. By removing weights already on the regulating plate, the exact opposite is achieved. With the help of this little trick, the finest changes in the swinging pendulum can be achieved.<\/p><p>\u00a0<\/p><p>So far it should be good at this point, but the subject of the pendulum itself is so comprehensive that entire books have been written about it.<\/p><\/div><\/section>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e786d5e elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"e786d5e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-a604500\" data-id=\"a604500\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5f30de3 elementor-widget elementor-widget-template\" data-id=\"5f30de3\" data-element_type=\"widget\" data-widget_type=\"template.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-template\">\n\t\t\t\t\t<div data-elementor-type=\"section\" data-elementor-id=\"16394\" class=\"elementor elementor-16394\" data-elementor-post-type=\"elementor_library\">\n\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-56d09317 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"56d09317\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7d47fb56\" data-id=\"7d47fb56\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d42ed3e elementor-widget elementor-widget-heading\" data-id=\"d42ed3e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Post from<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-773bc9e elementor-author-box--link-yes elementor-author-box--avatar-yes elementor-author-box--name-yes elementor-author-box--biography-yes elementor-widget elementor-widget-author-box\" data-id=\"773bc9e\" data-element_type=\"widget\" data-widget_type=\"author-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-author-box\">\n\t\t\t\t\t\t\t<a href=\"https:\/\/www.erwinsattler.com\/en\/author\/markus-gloeggler\/\" class=\"elementor-author-box__avatar\">\n\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2024\/05\/Markus-300x300.jpeg\" alt=\"Picture of Markus Gl\u00f6ggler\" loading=\"lazy\">\n\t\t\t\t<\/a>\n\t\t\t\n\t\t\t<div class=\"elementor-author-box__text\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.erwinsattler.com\/en\/author\/markus-gloeggler\/\">\n\t\t\t\t\t\t<h4 class=\"elementor-author-box__name\">\n\t\t\t\t\t\t\tMarkus Gl\u00f6ggler\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t<\/a>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-author-box__bio\">\n\t\t\t\t\t\twas born in Munich. He qualified as a master watchmaker in 1994 and additionally joined Erwin Sattler as production manager in 1996.\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<a class=\"elementor-author-box__button elementor-button elementor-size-xs\" href=\"https:\/\/www.erwinsattler.com\/en\/author\/markus-gloeggler\/\">\n\t\t\t\t\t\tMore articles\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7aa80a6 elementor-widget elementor-widget-heading\" data-id=\"7aa80a6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Discover more magazine posts<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a077608 elementor-posts--thumbnail-top elementor-grid-3 elementor-grid-tablet-2 elementor-grid-mobile-1 elementor-widget elementor-widget-posts\" data-id=\"a077608\" data-element_type=\"widget\" data-settings=\"{&quot;custom_columns&quot;:&quot;3&quot;,&quot;custom_columns_tablet&quot;:&quot;2&quot;,&quot;custom_columns_mobile&quot;:&quot;1&quot;,&quot;custom_row_gap&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:35,&quot;sizes&quot;:[]},&quot;custom_row_gap_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;custom_row_gap_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"posts.custom\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t      <div class=\"ecs-posts elementor-posts-container elementor-posts   elementor-grid elementor-posts--skin-custom\" data-settings=\"{&quot;current_page&quot;:1,&quot;max_num_pages&quot;:0,&quot;load_method&quot;:&quot;&quot;,&quot;widget_id&quot;:&quot;a077608&quot;,&quot;post_id&quot;:8211,&quot;theme_id&quot;:16394,&quot;change_url&quot;:false,&quot;reinit_js&quot;:false}\">\n      <div class=\"elementor-posts-nothing-found\"><\/div>\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Demo Short Text 01<\/p>\n","protected":false},"author":9,"featured_media":7602,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"_acf_changed":false,"site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[71],"tags":[],"class_list":["post-8211","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-magazine"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The Pendulum - A Precise Mechanical Oscillating System - Erwinsattler.com<\/title>\n<meta name=\"description\" content=\"The pendulum as a precise mechanical oscillation system: Find out more about its \u2713history \u2713physics \u2713the use in clocks!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Pendulum - A Precise Mechanical Oscillating System - Erwinsattler.com\" \/>\n<meta property=\"og:description\" content=\"The pendulum as a precise mechanical oscillation system: Find out more about its \u2713history \u2713physics \u2713the use in clocks!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/\" \/>\n<meta property=\"og:site_name\" content=\"Erwinsattler.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/erwinsattler\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-10-30T20:43:21+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-02T11:47:57+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"3838\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Markus Gl\u00f6ggler\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Markus Gl\u00f6ggler\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/\"},\"author\":{\"name\":\"Markus Gl\u00f6ggler\",\"@id\":\"https:\/\/www.erwinsattler.com\/#\/schema\/person\/ac3eaf2563215354ed1f303e6ce77299\"},\"headline\":\"The Pendulum &#8211; A Precise Mechanical Oscillating System\",\"datePublished\":\"2021-10-30T20:43:21+00:00\",\"dateModified\":\"2025-10-02T11:47:57+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/\"},\"wordCount\":1117,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.erwinsattler.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png\",\"articleSection\":[\"Magazine\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/\",\"url\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/\",\"name\":\"The Pendulum - A Precise Mechanical Oscillating System - Erwinsattler.com\",\"isPartOf\":{\"@id\":\"https:\/\/www.erwinsattler.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png\",\"datePublished\":\"2021-10-30T20:43:21+00:00\",\"dateModified\":\"2025-10-02T11:47:57+00:00\",\"description\":\"The pendulum as a precise mechanical oscillation system: Find out more about its \u2713history \u2713physics \u2713the use in clocks!\",\"breadcrumb\":{\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage\",\"url\":\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png\",\"contentUrl\":\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png\",\"width\":2560,\"height\":3838,\"caption\":\"Hand h\u00e4lt einen Inbusschl\u00fcssel, der in eine mechanische Vorrichtung an einem Pendelstab eingef\u00fchrt wird.\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Magazin\",\"item\":\"https:\/\/www.erwinsattler.com\/category\/magazin\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"The Pendulum &#8211; A Precise Mechanical Oscillating System\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.erwinsattler.com\/#website\",\"url\":\"https:\/\/www.erwinsattler.com\/\",\"name\":\"ERWIN SATTLER GmbH & Co. KG\",\"description\":\"Exquisite Pendel- &amp; Armbanduhren aus Deutschland\",\"publisher\":{\"@id\":\"https:\/\/www.erwinsattler.com\/#organization\"},\"alternateName\":\"Erwin Sattler\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.erwinsattler.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/www.erwinsattler.com\/#organization\",\"name\":\"ERWIN SATTLER GmbH & Co. KG\",\"alternateName\":\"ERWIN SATTLER GmbH & Co. KG\",\"url\":\"https:\/\/www.erwinsattler.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.erwinsattler.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/01\/logo.png\",\"contentUrl\":\"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/01\/logo.png\",\"width\":300,\"height\":179,\"caption\":\"ERWIN SATTLER GmbH & Co. KG\"},\"image\":{\"@id\":\"https:\/\/www.erwinsattler.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/erwinsattler\/\",\"https:\/\/www.linkedin.com\/company\/erwinsattler\/\",\"https:\/\/www.pinterest.de\/erwinsattler1958\/\",\"https:\/\/www.youtube.com\/channel\/UCjwrRd0F0Dw92oIkRH-L5fA\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/www.erwinsattler.com\/#\/schema\/person\/ac3eaf2563215354ed1f303e6ce77299\",\"name\":\"Markus Gl\u00f6ggler\",\"description\":\"ist in M\u00fcnchen geboren. Die Meisterpr\u00fcfung hat er 1994 abgelegt und ist seit 1996 zus\u00e4tzlich als Produktionsleiter f\u00fcr die Firma Sattler t\u00e4tig.\",\"url\":\"https:\/\/www.erwinsattler.com\/en\/author\/markus-gloeggler\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The Pendulum - A Precise Mechanical Oscillating System - Erwinsattler.com","description":"The pendulum as a precise mechanical oscillation system: Find out more about its \u2713history \u2713physics \u2713the use in clocks!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/","og_locale":"en_US","og_type":"article","og_title":"The Pendulum - A Precise Mechanical Oscillating System - Erwinsattler.com","og_description":"The pendulum as a precise mechanical oscillation system: Find out more about its \u2713history \u2713physics \u2713the use in clocks!","og_url":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/","og_site_name":"Erwinsattler.com","article_publisher":"https:\/\/www.facebook.com\/erwinsattler\/","article_published_time":"2021-10-30T20:43:21+00:00","article_modified_time":"2025-10-02T11:47:57+00:00","og_image":[{"width":2560,"height":3838,"url":"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png","type":"image\/png"}],"author":"Markus Gl\u00f6ggler","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Markus Gl\u00f6ggler","Est. reading time":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#article","isPartOf":{"@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/"},"author":{"name":"Markus Gl\u00f6ggler","@id":"https:\/\/www.erwinsattler.com\/#\/schema\/person\/ac3eaf2563215354ed1f303e6ce77299"},"headline":"The Pendulum &#8211; A Precise Mechanical Oscillating System","datePublished":"2021-10-30T20:43:21+00:00","dateModified":"2025-10-02T11:47:57+00:00","mainEntityOfPage":{"@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/"},"wordCount":1117,"commentCount":0,"publisher":{"@id":"https:\/\/www.erwinsattler.com\/#organization"},"image":{"@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage"},"thumbnailUrl":"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png","articleSection":["Magazine"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/","url":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/","name":"The Pendulum - A Precise Mechanical Oscillating System - Erwinsattler.com","isPartOf":{"@id":"https:\/\/www.erwinsattler.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage"},"image":{"@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage"},"thumbnailUrl":"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png","datePublished":"2021-10-30T20:43:21+00:00","dateModified":"2025-10-02T11:47:57+00:00","description":"The pendulum as a precise mechanical oscillation system: Find out more about its \u2713history \u2713physics \u2713the use in clocks!","breadcrumb":{"@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#primaryimage","url":"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png","contentUrl":"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/05\/ZusammenbauPendel.png","width":2560,"height":3838,"caption":"Hand h\u00e4lt einen Inbusschl\u00fcssel, der in eine mechanische Vorrichtung an einem Pendelstab eingef\u00fchrt wird."},{"@type":"BreadcrumbList","@id":"https:\/\/www.erwinsattler.com\/magazin\/das-pendel-ein-praezises-mechanisches-schwingsystem\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Magazin","item":"https:\/\/www.erwinsattler.com\/category\/magazin\/"},{"@type":"ListItem","position":2,"name":"The Pendulum &#8211; A Precise Mechanical Oscillating System"}]},{"@type":"WebSite","@id":"https:\/\/www.erwinsattler.com\/#website","url":"https:\/\/www.erwinsattler.com\/","name":"ERWIN SATTLER GmbH & Co. KG","description":"Exquisite Pendel- &amp; Armbanduhren aus Deutschland","publisher":{"@id":"https:\/\/www.erwinsattler.com\/#organization"},"alternateName":"Erwin Sattler","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.erwinsattler.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.erwinsattler.com\/#organization","name":"ERWIN SATTLER GmbH & Co. KG","alternateName":"ERWIN SATTLER GmbH & Co. KG","url":"https:\/\/www.erwinsattler.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.erwinsattler.com\/#\/schema\/logo\/image\/","url":"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/01\/logo.png","contentUrl":"https:\/\/www.erwinsattler.com\/wp-content\/uploads\/2023\/01\/logo.png","width":300,"height":179,"caption":"ERWIN SATTLER GmbH & Co. KG"},"image":{"@id":"https:\/\/www.erwinsattler.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/erwinsattler\/","https:\/\/www.linkedin.com\/company\/erwinsattler\/","https:\/\/www.pinterest.de\/erwinsattler1958\/","https:\/\/www.youtube.com\/channel\/UCjwrRd0F0Dw92oIkRH-L5fA"]},{"@type":"Person","@id":"https:\/\/www.erwinsattler.com\/#\/schema\/person\/ac3eaf2563215354ed1f303e6ce77299","name":"Markus Gl\u00f6ggler","description":"ist in M\u00fcnchen geboren. Die Meisterpr\u00fcfung hat er 1994 abgelegt und ist seit 1996 zus\u00e4tzlich als Produktionsleiter f\u00fcr die Firma Sattler t\u00e4tig.","url":"https:\/\/www.erwinsattler.com\/en\/author\/markus-gloeggler\/"}]}},"_links":{"self":[{"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/posts\/8211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/comments?post=8211"}],"version-history":[{"count":3,"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/posts\/8211\/revisions"}],"predecessor-version":[{"id":25954,"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/posts\/8211\/revisions\/25954"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/media\/7602"}],"wp:attachment":[{"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/media?parent=8211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/categories?post=8211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.erwinsattler.com\/en\/wp-json\/wp\/v2\/tags?post=8211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}