{"id":391083,"date":"2017-03-30T02:00:00","date_gmt":"2017-03-29T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=99fa8c0330a4629724f5aca8db1436ca"},"modified":"2017-03-30T02:00:00","modified_gmt":"2017-03-29T23:00:00","slug":"investigating-the-stability-of-a-bottle-filled-with-different-amounts-of-fluid","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=391083","title":{"rendered":"Investigating the stability of a bottle filled with different amounts of fluid"},"content":{"rendered":"<p>The aim of this paper is to investigate the stability of a bottle filled with different volumes of<br \/>\nwater, and to determine the angle at which it topples over for each volume of water. Data for the<br \/>\nangle at which the bottle toppled were gathered experimentally using a cylindrical 1 litre bottle,<br \/>\nand two theoretical models were then developed, considering the fluid as both static and dynamic,<br \/>\nrespectively. By modeling the water as a uniform cylinder or as a rectangular cylinder and<br \/>\ncylindrical segment, it was possible to calculate the angle at which the centre of mass of the<br \/>\nsystem overshot the base of the bottle. Allowing for some discrepancies between the geometry of the<br \/>\nactual bottle and that of the idealised model, it was found that both models could successfully<br \/>\npredict the variation of the toppling angle with volume. However, it was found that the second<br \/>\nmodel, which treated the fluid dynamically, was more appropriate, and better supported by the<br \/>\nempirical data gathered. The&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The aim of this paper is to investigate the stability of a bottle filled with different volumes of<br \/>\nwater, and to determine the angle at which it topples over for each volume of water. Data for the<br \/>\nangle at which the bottle toppled were gathered exper&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-391083","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/391083","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=391083"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/391083\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=391083"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=391083"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=391083"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}