{"id":1993,"date":"2014-08-23T21:16:41","date_gmt":"2014-08-24T01:16:41","guid":{"rendered":"http:\/\/blog.carlrobitaille.org\/2014\/08\/23\/videotitle-48\/"},"modified":"2018-11-12T13:33:42","modified_gmt":"2018-11-12T18:33:42","slug":"tautochrone-curve","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=1993","title":{"rendered":"Tautochrone curve"},"content":{"rendered":"

Google+ reshared post<\/b><\/p>\n

Tautochrone curve<\/b><\/p>\n

\u25baFrom Wikipedia:
[In Mathematics] A <\/i>tautochrone or isochrone curve<\/i><\/b> (from Greek prefixes tauto- meaning same or iso- equal, and chrono time) is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest point is independent of its starting point.<\/i><\/p>\n

The curve is a <\/i>cycloid<\/i><\/b>, and the time is equal to <\/i>\u03c0 times<\/i><\/b> the square root of the radius over the acceleration of gravity. The tautochrone curve is the same as the brachistochrone curve for any given starting point.<\/i><\/p>\n

\u25ba Read more>><\/b> http:\/\/en.wikipedia.org\/wiki\/Tautochrone_curve<\/a><\/p>\n

\u25ba Animation explanation<\/b>:
Four balls slide down a cycloid curve from different positions, but they arrive at the bottom at the same time. The blue arrows show the points’ acceleration along the curve. On the top is the time-position diagram.<\/i><\/p>\n

\u25ba Animation source>><\/b>
http:\/\/en.wikipedia.org\/wiki\/Tautochrone_curve#mediaviewer\/File:Tautochrone_curve.gif<\/a><\/p>\n

\u25ba Credit<\/b>:
Claudio Rocchini rewritten by Geek3 – Own work<\/p>\n

Further reading<\/b><\/p>\n

\u25ba Cycloid>><\/b> http:\/\/en.wikipedia.org\/wiki\/Cycloid<\/a><\/p>\n

\u25ba Brachistochrone curve>><\/b>
http:\/\/en.wikipedia.org\/wiki\/Brachistochrone_curve<\/a><\/p>\n

\u25ba Tautochrone Problem on MathWorld >><\/b>
http:\/\/mathworld.wolfram.com\/TautochroneProblem.html<\/a><\/p>\n

#mathematics<\/a> #cycloid<\/a> #Tautochrone_curve<\/a><\/p><\/blockquote>\n

\"\"<\/p>\n

Import\u00e9 de Google+<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Google+ reshared post Tautochrone curve \u25baFrom Wikipedia:[In Mathematics] A tautochrone or isochrone curve (from Greek prefixes tauto- meaning same or iso- equal, and chrono time) is the curve for which the time taken by an object sliding without friction in … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1993","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1993","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1993"}],"version-history":[{"count":2,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1993\/revisions"}],"predecessor-version":[{"id":2133,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1993\/revisions\/2133"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1993"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1993"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}