{"id":1210,"date":"2009-02-13T07:35:34","date_gmt":"2009-02-13T12:35:34","guid":{"rendered":"http:\/\/arxivblog.com\/?p=1210"},"modified":"2009-02-13T07:35:34","modified_gmt":"2009-02-13T12:35:34","slug":"how-to-build-a-desktop-foucalts-pendulum","status":"publish","type":"post","link":"http:\/\/arxivblog.com\/?p=1210","title":{"rendered":"How to build a desktop Foucalt&#8217;s Pendulum"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1212\" title=\"precession\" src=\"http:\/\/arxivblog.com\/wp-content\/uploads\/2009\/02\/precession.jpg\" alt=\"precession\" width=\"259\" height=\"243\" srcset=\"http:\/\/arxivblog.com\/wp-content\/uploads\/2009\/02\/precession.jpg 511w, http:\/\/arxivblog.com\/wp-content\/uploads\/2009\/02\/precession-300x281.jpg 300w\" sizes=\"auto, (max-width: 259px) 100vw, 259px\" \/><\/p>\n<p>Foucalt&#8217;s pendulum&#8211;a 28 kilogram bob suspended on a 67 metre wire&#8211; famously hangs in the Pantheon in Paris where Leon Foucalt himself demonstrated it in 1851.<\/p>\n<p>The pendulum oscillates in a vertical plane which slowly rotates. The rotation is explained by the Earth&#8217;s motion which spins beneath the pendulum.<\/p>\n<p>The length of the wire is important because it helps to iron out any irregularities that can always occur in the swing of a pendulum. In particular, it&#8217;s hard to set a pendulum in motion without imparting some ellipsoidal motion. The problem is that this ellipse always precesses, a motion that inevitably swamps the rotation caused by the Earth&#8217;s spin.<\/p>\n<p>This is much less of a problem for long pendulums because the properties of the ellipsoidal motion are inversely related to the length of the wire.<\/p>\n<p>If you have access to a 67 metre ceiling, you&#8217;re fine. But try it with a shorter pendulum and you&#8217;ll just never see the effect you want. That&#8217;s why Focault&#8217;s Pendulums are rather rare devices.<\/p>\n<p>That may change thanks to some interesting work by Reinhard Schumacher and Brandon Tarbet at Carnegie Mellon University in Pittsburgh. What they&#8217;ve done is to work out how to drive a much shorter pendulum without allowing its ellipsoidal motion to precess.<\/p>\n<p>They&#8217;ve done this with a motor that uses Faraday induction and magnetic repulsion to push a pendulum in a controlled fashion. The system is cleverly designed to cancel out any tendency to precess, whatever the size of the ellipse that the pendulum is describing.<\/p>\n<p>But while the precession is suppressed, the rotation due to the Earth&#8217;s motion is not.<\/p>\n<p>They&#8217;ve tested their idea on a 3 metre pendulum and say it works well.\u00a0 They end their paper saying: &#8220;We plan to further test this method on even shorter pendula, since there is no lower limit at which the model given here should apply.&#8221;<\/p>\n<p>Anybody want a desktop Focault Pendulum?<\/p>\n<p>Ref: <a href=\"http:\/\/arxiv.org\/abs\/0902.1829\">arxiv.org\/abs\/0902.1829<\/a>: A Short Foucault Pendulum Free of Ellipsoidal Precession<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Foucalt&#8217;s pendulum&#8211;a 28 kilogram bob suspended on a 67 metre wire&#8211; famously hangs in the Pantheon in Paris where Leon Foucalt himself demonstrated it in 1851. The pendulum oscillates in a vertical plane which slowly rotates. The rotation is explained by the Earth&#8217;s motion which spins beneath the pendulum. The length of the wire is [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-1210","post","type-post","status-publish","format-standard","hentry","category-mean-machines"],"_links":{"self":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/posts\/1210","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1210"}],"version-history":[{"count":2,"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/posts\/1210\/revisions"}],"predecessor-version":[{"id":1213,"href":"http:\/\/arxivblog.com\/index.php?rest_route=\/wp\/v2\/posts\/1210\/revisions\/1213"}],"wp:attachment":[{"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1210"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1210"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/arxivblog.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1210"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}