{"id":2526,"date":"2017-03-15T08:00:11","date_gmt":"2017-03-15T08:00:11","guid":{"rendered":"http:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/?p=2526"},"modified":"2022-04-13T15:57:44","modified_gmt":"2022-04-13T14:57:44","slug":"physics-puzzle-solution","status":"publish","type":"post","link":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/2017\/03\/15\/physics-puzzle-solution\/","title":{"rendered":"A Physics Puzzle &#8211; Solution"},"content":{"rendered":"<div>\n<figure class=\"image pull-right override\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-2508\" src=\"http:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/physics-puzzle-1024x726.png\" alt=\"Physics puzzle\" width=\"300\" height=\"213\" \/><\/figure>\n<h2>A few weeks ago we <a href=\"http:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/2017\/02\/15\/physics-puzzle\/\">posted<\/a> the puzzle on the right &#8211; well, here&#8217;s the answer.<\/h2>\n<\/div>\n<div style=\"clear: both\"><\/div>\n<hr \/>\n<h3>A simple pendulum has a period given by<\/h3>\n<figure class=\"image\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2538\" style=\"margin-left:auto;margin-right:auto\" src=\"http:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/period_equation-300x198.png\" alt=\"T = 2 pi sqrt(l\/g)\" width=\"152\" height=\"100\" srcset=\"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/period_equation-300x198.png 300w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/period_equation.png 706w\" sizes=\"auto, (max-width: 152px) 100vw, 152px\" \/><\/figure>\n<h3>If you insert that into the expression in the puzzle you get<\/h3>\n<figure class=\"image\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2537\" style=\"margin-left:auto;margin-right:auto\" src=\"http:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-300x168.png\" alt=\"(pi sqrt(gl))^2 \/ pi g\" width=\"178\" height=\"100\" srcset=\"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-300x168.png 300w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-768x431.png 768w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-70x40.png 70w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-170x96.png 170w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-270x152.png 270w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-370x208.png 370w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-570x320.png 570w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-670x376.png 670w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub-770x433.png 770w, https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/expression_period-sub.png 831w\" sizes=\"auto, (max-width: 178px) 100vw, 178px\" \/><\/figure>\n<h3>That simplifies to\u00a0<strong>\u03c0<em>g<\/em><\/strong> &#8211; which you could\u00a0otherwise write as <strong>pi <em>g<\/em><\/strong>!<\/h3>\n<hr \/>\n<p>Not too complicated, providing you\u00a0spot the trick! If you think of or find similar puzzles, why not\u00a0let us know through\u00a0<a href=\"http:\/\/twitter.com\/cardiffphysx\">Twitter<\/a>, <a href=\"https:\/\/www.facebook.com\/CardiffSchoolofPhysics\">Facebook<\/a>, <a href=\"mailto:schools@astro.cf.ac.uk\">email<\/a> or our <a href=\"http:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/about-us\/contact-us\/\">contact form<\/a>.<\/p>\n<p>This puzzle was originally posted in a quiz by I\u00a0G Mansfield at\u00a0<a href=\"http:\/\/edrith.co.uk\">edrith.co.uk<\/a> &#8211; you might even like some of the other quizzes and games available there!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A few weeks ago we posted the puzzle on the right &#8211; well, here&#8217;s the answer. A simple pendulum has a period given by If you insert that into the expression in the puzzle you get That simplifies to\u00a0\u03c0g &#8211; which you could\u00a0otherwise write as pi g! Not too complicated, providing you\u00a0spot the trick! If<\/p>\n","protected":false},"author":273,"featured_media":2521,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[8],"tags":[],"class_list":["post-2526","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physics-2"],"jetpack_publicize_connections":[],"jetpack_shortlink":"https:\/\/wp.me\/p4hmOz-EK","jetpack_sharing_enabled":true,"meta_box":[],"jetpack_featured_media_url":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-content\/uploads\/sites\/236\/2017\/02\/physics-puzzle.png","_links":{"self":[{"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/posts\/2526","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/users\/273"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/comments?post=2526"}],"version-history":[{"count":8,"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/posts\/2526\/revisions"}],"predecessor-version":[{"id":2654,"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/posts\/2526\/revisions\/2654"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/media\/2521"}],"wp:attachment":[{"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/media?parent=2526"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/categories?post=2526"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.cardiff.ac.uk\/physicsoutreach\/wp-json\/wp\/v2\/tags?post=2526"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}