{"id":40271,"date":"2025-01-15T12:41:51","date_gmt":"2025-01-15T12:41:51","guid":{"rendered":"https:\/\/idea.membrane.com\/songwriter\/?p=40271"},"modified":"2025-01-16T14:39:49","modified_gmt":"2025-01-16T14:39:49","slug":"if-everyone-on-board","status":"publish","type":"post","link":"http:\/\/kingarthur.com\/songwriter\/2025\/01\/15\/if-everyone-on-board\/","title":{"rendered":"If Everyone on Board"},"content":{"rendered":"<ul>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/If-Everyone-on-Board-I.mp3\"> If-Everyone-on-Board-I.mp3<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/If-Everyone-on-Board-I.mp4\"> If-Everyone-on-Board-I.mp4<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/If-Everyone-on-Board-II.mp3\"> If-Everyone-on-Board-II.mp3<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/If-Everyone-on-Board-II.mp4\"> If-Everyone-on-Board-II.mp4<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/If-Everyone-on-Board-intro.mp3\"> If-Everyone-on-Board-intro.mp3<\/a><\/li>\n<li><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/Inverted-0.mp3\"> Inverted-0.mp3<\/a><\/li>\n<\/ul>\n<p>[Intro]<br \/>\nWe require&#8230;<br \/>\n&#8230; significant force, and&#8230;<br \/>\nTime (due to momentum)<br \/>\nThe situation (we find ourselves in)<\/p>\n<p>[Verse 1]<br \/>\nWhere should I begin<br \/>\nWhen it&#8217;s too late<br \/>\nTo debate,<br \/>\nSince we cast our fate<\/p>\n<p>[Bridge]<br \/>\nWe require&#8230;<br \/>\n&#8230; significant force, and&#8230;<br \/>\nTime (due to momentum)<br \/>\nThe situation (we find ourselves in)<\/p>\n<p>[Chorus]<br \/>\nIf everyone on board<br \/>\nActs as a herd<br \/>\nOur future&#8217;s sunk<br \/>\nOr so I&#8217;ve heard<\/p>\n<p>[Bridge]<br \/>\n(Who woulda thunk)<br \/>\nWe&#8217;ve gone absurd<\/p>\n<p>[Verse 2]<br \/>\nWhere will it end<br \/>\n(The message we send)<br \/>\nNo one will hear<br \/>\n(If no one&#8217;s here)<\/p>\n<p>[Bridge]<br \/>\nWe require&#8230;<br \/>\n&#8230; significant force, and&#8230;<br \/>\nTime (due to momentum)<br \/>\nThe situation (we find ourselves in)<\/p>\n<p>[Chorus]<br \/>\nIf everyone on board<br \/>\nActs as a herd<br \/>\nOur future&#8217;s sunk<br \/>\nOr so I&#8217;ve heard<\/p>\n<p>[Bridge]<br \/>\nWe require&#8230;<br \/>\n&#8230; significant force, and&#8230;<br \/>\nTime (due to momentum)<br \/>\nThe situation (we find ourselves in)<\/p>\n<p>[Chorus]<br \/>\nIf everyone on board<br \/>\nActs as a herd<br \/>\nOur future&#8217;s sunk<br \/>\nOr so I&#8217;ve heard<\/p>\n<p>[Outro]<br \/>\nPeople go home<br \/>\n(You&#8217;re all drunk!)<\/p>\n<p>A SCIENCE NOTE<br \/>\nTurning a fast-moving, large boat around before it reaches a waterfall involves multiple physical principles, including momentum, angular momentum, torque, and hydrodynamics. If everyone on board rushes to one side to look over, it introduces additional complexities related to stability and the center of gravity. Here\u2019s a breakdown:<\/p>\n<hr \/>\n<h3><strong>1. Turning the Boat Around<\/strong><\/h3>\n<h4><strong>Momentum<\/strong><\/h4>\n<ul>\n<li>The boat has linear momentum (<span class=\"katex\"><span class=\"katex-mathml\">p=m\u22c5vp = m \\cdot v<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">p<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">v<\/span><\/span><\/span><\/span>), where <span class=\"katex\"><span class=\"katex-mathml\">mm<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><\/span><\/span><\/span> is the mass of the boat and <span class=\"katex\"><span class=\"katex-mathml\">vv<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">v<\/span><\/span><\/span><\/span> is its velocity. Stopping or turning the boat requires applying a force in the opposite direction of its momentum.<\/li>\n<li>The larger the mass or the faster the velocity, the more force and time are needed to change its direction.<\/li>\n<\/ul>\n<h4><strong>Torque and Rudder Effect<\/strong><\/h4>\n<ul>\n<li>Torque (<span class=\"katex\"><span class=\"katex-mathml\">\u03c4=r\u22c5F\\tau = r \\cdot F<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u03c4<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">r<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">F<\/span><\/span><\/span><\/span>) is applied via the rudder or other steering mechanisms. The rudder redirects the water flow, generating a force that turns the boat.<\/li>\n<li>The force exerted by the rudder depends on:\n<ul>\n<li>The area of the rudder (<span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span>).<\/li>\n<li>The speed of the water (<span class=\"katex\"><span class=\"katex-mathml\">vwaterv_{\\text{water}}<\/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\">water<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>).<\/li>\n<li>The angle of deflection (<span class=\"katex\"><span class=\"katex-mathml\">\u03b8\\theta<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u03b8<\/span><\/span><\/span><\/span>).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h4><strong>Hydrodynamic Resistance<\/strong><\/h4>\n<ul>\n<li>As the rudder generates turning forces, the hull of the boat creates drag, resisting the turn. This limits the boat&#8217;s turning speed.<\/li>\n<li>Fast turns can cause the boat to tilt (heeling) due to centrifugal forces acting on the hull.<\/li>\n<\/ul>\n<h4><strong>Propulsion<\/strong><\/h4>\n<ul>\n<li>The engines or paddles must also work in coordination with the rudder to aid the turn. Reverse thrust may be applied to slow the boat and prevent overshooting the turn.<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>2. Center of Gravity and Stability<\/strong><\/h3>\n<h4><strong>Everyone Rushing to One Side<\/strong><\/h4>\n<ul>\n<li><strong>Shift in Center of Gravity<\/strong>: When passengers rush to one side, the boat&#8217;s center of gravity shifts toward that side. This creates an imbalance and increases the risk of tipping.<\/li>\n<li><strong>Tilting (List)<\/strong>: The boat tilts due to the uneven weight distribution, creating a torque that can destabilize it. The tilt angle (<span class=\"katex\"><span class=\"katex-mathml\">\u03b8\\theta<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">\u03b8<\/span><\/span><\/span><\/span>) depends on:\n<ul>\n<li>The shift in the center of gravity (<span class=\"katex\"><span class=\"katex-mathml\">\u0394x\\Delta x<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u0394<\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span>).<\/li>\n<li>The buoyancy and shape of the hull.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Capsizing Risk<\/strong>: If the center of gravity moves outside the hull&#8217;s base of support, the boat may capsize.<\/li>\n<\/ul>\n<h4><strong>Increased Drag on One Side<\/strong><\/h4>\n<ul>\n<li>The added weight on one side increases the hull&#8217;s depth in the water on that side, increasing drag unevenly. This could make steering more difficult and slow down the turn.<\/li>\n<\/ul>\n<hr \/>\n<h3><strong>3. Potential Outcomes<\/strong><\/h3>\n<ol>\n<li><strong>If the Boat is Successfully Turned:<\/strong>\n<ul>\n<li>With sufficient thrust and steering, the boat could turn away from the waterfall. However, the process would be slower if the added tilt or uneven drag reduces efficiency.<\/li>\n<\/ul>\n<\/li>\n<li><strong>If Everyone Rushing Causes Instability:<\/strong>\n<ul>\n<li>The boat could list heavily, making it harder to steer.<\/li>\n<li>In extreme cases, the boat could capsize, especially if the waterfall creates turbulent waters that destabilize it further.<\/li>\n<\/ul>\n<\/li>\n<li><strong>If the Turn Fails:<\/strong>\n<ul>\n<li>The boat might continue toward the waterfall. The impact forces from falling could cause structural failure or sink the boat, depending on its size and the height of the fall.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<hr \/>\n<h3><strong>Key Takeaways<\/strong><\/h3>\n<ul>\n<li>Turning a large, fast-moving boat requires significant force and time due to momentum.<\/li>\n<li>Passenger behavior, such as rushing to one side, can compromise stability and reduce steering effectiveness.<\/li>\n<li>Effective coordination of propulsion, rudder angle, and weight distribution is crucial to prevent disaster.<\/li>\n<\/ul>\n<h3>From the album &#8220;<a href=\"http:\/\/idea.membrane.com\/songwriter\/tag\/snowball-effect\/\">Snowball Effect<\/a>&#8221; by <a href=\"http:\/\/membrane.com\/change\/\">\u0394 To Cause a Change<\/a><\/h3>\n<h2><a href=\"http:\/\/membrane.com\/global_warming\/\">The Human Induced Climate Change Experiment<\/a><\/h2>\n<h2><a href=\"http:\/\/kingarthur.com\/MegaEpix-Enormous\/multimedia\/IX\/\">MegaEpix Enormous<\/a><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>If-Everyone-on-Board-I.mp3 If-Everyone-on-Board-I.mp4 If-Everyone-on-Board-II.mp3 If-Everyone-on-Board-II.mp4 If-Everyone-on-Board-intro.mp3 Inverted-0.mp3 [Intro] We require&#8230; &#8230; significant force, and&#8230; Time (due to momentum) The situation (we find ourselves in) [Verse 1] Where should I begin When it&#8217;s too late To debate, Since we cast our fate [Bridge] We require&#8230; &#8230; significant force, and&#8230; Time (due to momentum) The situation (we find [&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":[3,3945,9,14,3955],"tags":[546,563,4082],"class_list":["post-40271","post","type-post","status-publish","format-standard","hentry","category-4d-music","category-change","category-daniel","category-lyrics","category-megaepix-enormous","tag-mp4","tag-music-videos","tag-snowball-effect"],"_links":{"self":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/40271","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=40271"}],"version-history":[{"count":3,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/40271\/revisions"}],"predecessor-version":[{"id":40426,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/posts\/40271\/revisions\/40426"}],"wp:attachment":[{"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/media?parent=40271"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/categories?post=40271"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/kingarthur.com\/songwriter\/wp-json\/wp\/v2\/tags?post=40271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}