{"id":4729,"date":"2025-04-26T11:15:13","date_gmt":"2025-04-26T05:45:13","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=4729"},"modified":"2025-07-19T12:36:35","modified_gmt":"2025-07-19T07:06:35","slug":"buoyancy-and-floatation","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/fluid-mechanics-me\/buoyancy-and-floatation","title":{"rendered":"Buoyancy and Floatation"},"content":{"rendered":"<h2 style=\"text-align: justify;\">Archimedes Principle<\/h2>\n<p style=\"text-align: justify;\">When a body is submerged either fully or partially, then it is acted upon by a force of buoyancy vertically up which is equal to weight of liquid displaced by the body.<\/p>\n<p style=\"text-align: justify;\"><strong>Remember:<\/strong><\/p>\n<ul style=\"text-align: justify;\">\n<li>This force of buoyancy always acts through the centroid of liquid displaced.<\/li>\n<li>Centre of buoyancy is that point through which buoyant force acts.<\/li>\n<\/ul>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/me\/fluid-mechanics-me\/buoyancy-and-floatation\/#Principal-of-Flotation\" >Principal of Flotation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/me\/fluid-mechanics-me\/buoyancy-and-floatation\/#Surface-TensionPressure-Inside-Drop-Bubble-and-Jet\" >Surface Tension\/Pressure Inside Drop, Bubble and Jet<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Principal-of-Flotation\"><\/span>Principal of Flotation<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-4730 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/04\/equilibrium.jpg\" alt=\"Equilibrium\" width=\"564\" height=\"350\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/04\/equilibrium.jpg 564w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/04\/equilibrium-300x186.jpg 300w\" sizes=\"auto, (max-width: 564px) 100vw, 564px\" \/><\/p>\n<p style=\"text-align: justify;\">For neutral equilibrium, GM = 0, \u2018M\u2019 coincides with \u2018G\u2019.<\/p>\n<p style=\"text-align: justify;\">For unstable equilibrium, GM &lt; 0, \u2018G\u2019 is above \u2018M\u2019 for floating body.<\/p>\n<p style=\"text-align: justify;\">In case of submerged body, center of buoyancy should be above centre of gravity.<\/p>\n<p style=\"text-align: justify;\">\u21d2 B above G (Stable equilibrium), G above B (unstable equilibirum) G and B coincide (neutral equilibrium).<\/p>\n<p style=\"text-align: justify;\">Distance between metacenter and centre of buoyancy (BM) = Imin\/ Vimmersed (Metacentric radius)<\/p>\n<p style=\"text-align: justify;\">Here,<\/p>\n<p style=\"text-align: justify;\">Imin=Moment of inertia of top view of floating body about longitudinal axis<\/p>\n<p style=\"text-align: justify;\">V=Volume of body immersed in liquid<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Surface-TensionPressure-Inside-Drop-Bubble-and-Jet\"><\/span>Surface Tension\/Pressure Inside Drop, Bubble and Jet<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">Surface tension occurs at the interface of liquid and a gas or at the interface of two liquids. Surface tension is inversely proportional to temperature and it also acts when fluid is at rest.<\/p>\n<ul>\n<li style=\"text-align: justify;\">Liquid tends to minimize its surface area and hence the surface energy.<\/li>\n<li style=\"text-align: justify;\"><strong>Excess pressure inside drop (Solid like sphere)<\/strong>\n<ul>\n<li>\u0394P = = 4\u03c3\/d<\/li>\n<\/ul>\n<\/li>\n<li><strong>Excess pressure inside bubble<\/strong>\n<ul>\n<li style=\"text-align: justify;\">\u0394P = = 8\u03c3\/d<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Archimedes Principle When a body is submerged either fully or partially, then it is acted upon by a force of<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1413,10],"tags":[1416,400,1417],"class_list":["post-4729","post","type-post","status-publish","format-standard","hentry","category-fluid-mechanics-me","category-me","tag-archimedes-principle","tag-equilibrium","tag-principal-of-flotation"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4729","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=4729"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/4729\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=4729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=4729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=4729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}