{"id":34378,"date":"2024-05-20T12:13:22","date_gmt":"2024-05-20T12:13:22","guid":{"rendered":"https:\/\/idea.membrane.com\/songwriter\/?p=34378"},"modified":"2024-05-20T12:13:22","modified_gmt":"2024-05-20T12:13:22","slug":"buoyant-force","status":"publish","type":"post","link":"http:\/\/kingarthur.com\/songwriter\/2024\/05\/20\/buoyant-force\/","title":{"rendered":"Buoyant Force"},"content":{"rendered":"<ul>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/Buoyant-Force.mp3\"> Buoyant-Force.mp3<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/Buoyant-Force.mp4\"> Buoyant-Force.mp4<\/a><\/li>\n<\/ul>\n<p>1, 2, 3<br \/>\nAnd, we all float on&#8230;.<\/p>\n<p>[Instrumental, Electric Piano, Bass]<\/p>\n<p>[Verse 1]<br \/>\nSomething&#8217;s keeping me a float<br \/>\nKeeping my head above water<br \/>\nIn a world so cutthroat<br \/>\nRise above the slaughter<\/p>\n<p>[Chorus]<br \/>\nA buoyant force<br \/>\nKeeping me on course<br \/>\nRise above<br \/>\nWith the force of love<\/p>\n<p>[Instrumental, Guitar Solo, Drum Fills]<\/p>\n<p>[Verse 2]<br \/>\nKeeping my head above water<br \/>\nSo I can see reality<br \/>\nGetting harder as it&#8217;s getting hotter<br \/>\nI guess we&#8217;ll see<\/p>\n<p>[Chorus]<br \/>\nA buoyant force<br \/>\nKeeping me on course<br \/>\nRise above<br \/>\nWith the force of love<\/p>\n<p>[Instrumental, Guitar Solo, Drum Fills]<\/p>\n<p>[Bridge]<br \/>\nBuoyancy<br \/>\nSensitivity to density<br \/>\nReplaces<br \/>\nDisplaces<br \/>\nAs a matter of fact<br \/>\nI&#8217;m flat on my back<\/p>\n<p>[Chorus]<br \/>\nA buoyant force<br \/>\nKeeping me on course<br \/>\nRise above<br \/>\nWith the force of love<\/p>\n<p>[Outro]<br \/>\nBuoyancy<br \/>\nSensitivity to density<\/p>\n<p>[End]<\/p>\n<p>A SCIENCE NOTE<\/p>\n<p>The ability of humans to float on water is primarily governed by the principles of buoyancy and density. Here are the key physics concepts involved:<\/p>\n<h3>Buoyancy<\/h3>\n<p><strong>Archimedes&#8217; Principle:<\/strong><\/p>\n<ul>\n<li>This principle states that any object submerged in a fluid (liquid or gas) experiences an upward buoyant force equal to the weight of the fluid that the object displaces.<\/li>\n<li>For a human body to float, the buoyant force must equal the gravitational force (weight) acting on the body.<\/li>\n<\/ul>\n<p><strong>Buoyant Force:<\/strong><\/p>\n<ul>\n<li>Buoyant force (F_b) can be calculated using the formula: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">Fb=\u03c1fluid\u00d7Vdisplaced\u00d7g<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">b<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">fluid<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">displaced<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">g<\/span><\/span><\/span><\/span><\/span> where:\n<ul>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1fluid<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">fluid<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> is the density of the fluid (water, in this case).<\/li>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">Vdisplaced<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">displaced<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> is the volume of the fluid displaced by the object.<\/li>\n<li><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">g<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">g<\/span><\/span><\/span><\/span><\/span> is the acceleration due to gravity.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3>Density<\/h3>\n<p><strong>Density of the Human Body:<\/strong><\/p>\n<ul>\n<li>Density (<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u03c1<\/span><\/span><\/span><\/span><\/span>) is mass per unit volume (<span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03c1=mV<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">V<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>).<\/li>\n<li>The average density of the human body is slightly less than that of water, primarily due to the presence of air in the lungs and body cavities, and fat tissues, which are less dense than water.<\/li>\n<\/ul>\n<p><strong>Comparison with Water:<\/strong><\/p>\n<ul>\n<li>Freshwater has a density of approximately 1,000 kg\/m\u00b3.<\/li>\n<li>If a human body&#8217;s density is less than 1,000 kg\/m\u00b3, the body will float because the buoyant force will be greater than the gravitational force acting on the body.<\/li>\n<\/ul>\n<h3>Factors Affecting Floating<\/h3>\n<p><strong>Lung Capacity:<\/strong><\/p>\n<ul>\n<li>Air in the lungs significantly affects buoyancy. Inhaling increases lung volume, reducing the overall density of the body and making it easier to float.<\/li>\n<li>Exhaling decreases lung volume, increasing the body\u2019s density and making it more likely to sink.<\/li>\n<\/ul>\n<p><strong>Body Composition:<\/strong><\/p>\n<ul>\n<li>Fat tissue is less dense than water, while muscle and bone are denser. People with higher body fat percentages tend to float more easily.<\/li>\n<li>Muscular individuals with low body fat may find floating more challenging.<\/li>\n<\/ul>\n<p><strong>Body Position:<\/strong><\/p>\n<ul>\n<li>Spreading the body out (e.g., lying flat on the back) increases the surface area and volume of water displaced, enhancing buoyancy.<\/li>\n<li>Compact positions (e.g., tucking knees to the chest) decrease the volume of displaced water, reducing buoyancy.<\/li>\n<\/ul>\n<h3>Example Calculation<\/h3>\n<p>For a simplified example, consider a person with a mass of 70 kg and an average density slightly less than water, say 980 kg\/m\u00b3. If the volume of this person is: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">Vperson=m\u03c1person=70\u2009kg980\u2009kg\/m3\u22480.0714\u2009m3<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">person<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">\u03c1<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord text mtight\">person<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">m<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">980<span class=\"mord text mtight\">kg\/m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"sizing reset-size3 size1 mtight\">3<\/span><\/span><\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">70<span class=\"mord text mtight\">kg<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">\u2248<\/span><\/span><span class=\"base\"><span class=\"mord\">0.0714<\/span><span class=\"mord\"><span class=\"mord text\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>The buoyant force when the person is fully submerged in freshwater: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">Fb=\u03c1water\u00d7Vperson\u00d7g=1000\u2009kg\/m3\u00d70.0714\u2009m3\u00d79.81\u2009m\/s2\u2248700\u2009N<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">b<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">\u03c1<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">water<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">person<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">g<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1000<\/span><span class=\"mord\"><span class=\"mord text\">kg\/m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">0.0714<\/span><span class=\"mord\"><span class=\"mord text\">m<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">9.81<\/span><span class=\"mord\"><span class=\"mord text\">m\/s<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">\u2248<\/span><\/span><span class=\"base\"><span class=\"mord\">700<\/span><span class=\"mord text\"><span class=\"mord\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>The weight of the person: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\">Fg=m\u00d7g=70\u2009kg\u00d79.81\u2009m\/s2=687\u2009N<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">F<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">g<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">g<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">70<\/span><span class=\"mord text\"><span class=\"mord\">kg<\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">9.81<\/span><span class=\"mord\"><span class=\"mord text\">m\/s<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">687<\/span><span class=\"mord text\"><span class=\"mord\">N<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>Since the buoyant force is greater than the gravitational force, the person will float.<\/p>\n<p>In summary, humans float on water due to the buoyant force exerted by the displaced water, which, for most people, exceeds their weight due to the lower density of the human body compared to water. Factors such as lung capacity, body composition, and body position significantly influence this buoyancy.<\/p>\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/idea.membrane.com\/songwriter\/wp-content\/uploads\/2024\/05\/Buoyant-Force.jpg\"><img decoding=\"async\" width=\"921\" height=\"408\" loading=\"lazy\" class=\"wp-image-34379\" src=\"https:\/\/idea.membrane.com\/songwriter\/wp-content\/uploads\/2024\/05\/Buoyant-Force.jpg\" alt=\"Buoyant Force\" srcset=\"https:\/\/kingarthur.com\/songwriter\/wp-content\/uploads\/2024\/05\/Buoyant-Force.jpg 921w, https:\/\/kingarthur.com\/songwriter\/wp-content\/uploads\/2024\/05\/Buoyant-Force-300x133.jpg 300w, https:\/\/kingarthur.com\/songwriter\/wp-content\/uploads\/2024\/05\/Buoyant-Force-768x340.jpg 768w\" sizes=\"auto, (max-width: 921px) 100vw, 921px\" \/><\/a><figcaption class=\"wp-element-caption\"><strong>Buoyant Force<\/strong><\/figcaption><\/figure>\n<h3>From the album &#8220;Right Now&#8221; by <a href=\"http:\/\/membrane.com\/The_Beatless_Sense_Mongers\/\">The Beatless Sense Mongers<\/a><\/h3>\n<h2><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/\">MegaEpix Enormous<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Buoyant-Force.mp3 Buoyant-Force.mp4 1, 2, 3 And, we all float on&#8230;. [Instrumental, Electric Piano, Bass] [Verse 1] Something&#8217;s keeping me a float Keeping my head above water In a world so cutthroat Rise above the slaughter [Chorus] A buoyant force Keeping me on course Rise above With the force of love [Instrumental, Guitar Solo, Drum Fills] [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","footnotes":""},"categories":[3,9,14,3955,24],"tags":[546,563,3968],"class_list":["post-34378","post","type-post","status-publish","format-standard","hentry","category-4d-music","category-daniel","category-lyrics","category-megaepix-enormous","category-the-beatless-sense-mongers","tag-mp4","tag-music-videos","tag-right-now"],"_links":{"self":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/34378","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/comments?post=34378"}],"version-history":[{"count":3,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/34378\/revisions"}],"predecessor-version":[{"id":34401,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/34378\/revisions\/34401"}],"wp:attachment":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/media?parent=34378"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/categories?post=34378"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/tags?post=34378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}