{"id":913,"date":"2018-12-28T21:24:55","date_gmt":"2018-12-28T20:24:55","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=913"},"modified":"2024-02-14T21:46:39","modified_gmt":"2024-02-14T20:46:39","slug":"how-to-calculate-and-solve-the-centre-of-gravity-of-a-segment-of-a-sphere","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/12\/28\/how-to-calculate-and-solve-the-centre-of-gravity-of-a-segment-of-a-sphere\/","title":{"rendered":"How to Calculate and Solve the Centre of Gravity of a Segment of a Sphere"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents a segment of a sphere.
\nTo compute the center\u00a0of gravity of a segment of a sphere requires two essential parameters. These parameters are the radius of the sphere<\/strong> and height of the segment of the sphere<\/strong>.<\/p>\n

The formula for computing the centre of gravity of a sphere is:<\/p>\n

C.G. = 3(2r – h)\u00b2<\/sup> \/ 4(3r – h)<\/sub><\/p>\n

Where:
\nC.G. = Centre of Gravity
\nr = Radius of the Sphere
\nh = Height of the Segment of the Sphere<\/p>\n

Let’s solve an example
\nFind the centre of gravity of the segment of the sphere where the radius of the sphere is 10 m and the height of the segment of the sphere is 4 m.<\/p>\n

This implies that:
\nr = Radius of the Sphere = 10
\nh = Height of the Segment of the Sphere = 4<\/p>\n

C.G. = 3(2(10) – 4)\u00b2<\/sup> \/ 4(3(10) – 4)<\/sub>
\nC.G. = 3(20 – 4)\u00b2<\/sup> \/ 4(30 – 4)<\/sub>
\nSo, C.G. = 3(16)\u00b2<\/sup> \/ 4(26)<\/sub>
\nC.G. = 3(256)<\/sup> \/ 104<\/sub>
\nC.G. = 768<\/sup> \/ 104<\/sub>
\nThat is, C.G. = 7.38<\/p>\n

Therefore, the center\u00a0of gravity of the segment of the sphere<\/strong> is 7.38<\/strong>.<\/p>\n

How to Calculate and Solve the Centre of Gravity of a Segment of a Sphere Using Nickzom Calculator<\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the center of gravity of a segment of a sphere at a height, h at a distance from the centre of the sphere measured along the height.<\/p>\n

<\/p>\n

To get the answer and workings of the\u00a0center of gravity<\/strong>\u00a0of a segment of a sphere using the\u00a0Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>for\u00a0NGN 1,500\u00a0<\/strong>per\u00a0annum<\/strong>\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a>
\nApple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/p>\n

Once, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Mechanics<\/strong>\u00a0<\/strong>under the\u00a0Engineering<\/strong>\u00a0section<\/p>\n

\"How<\/p>\n

Now, click on\u00a0Centre of Gravity<\/strong>\u00a0under\u00a0Statics<\/strong><\/p>\n

\"How<\/p>\n

Now, click on\u00a0Centre of Gravity of a Segment of a Sphere<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the centre of gravity of a segment of a sphere according to their respective parameters which are the radius of the sphere (r) and the height of the segment of the sphere (h).<\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0example<\/strong>\u00a0above where the\u00a0radius of the sphere<\/strong>\u00a0is 10\u00a0<\/strong>and the height of the\u00a0<\/strong>segment of the sphere<\/strong> is\u00a04<\/strong>.<\/p>\n

\"\"<\/p>\n

Finally, click on the Calculate<\/strong> button<\/p>\n

\"\"<\/p>\n

As you can see from the screenshots above,\u00a0Nickzom Calculator<\/strong>\u00a0\u2013 The Calculator Encyclopedia solves for the centre of gravity of a segment of a sphere and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents a segment of a sphere. To compute the center\u00a0of gravity of a segment of…","protected":false},"author":1,"featured_media":12457,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[84,309,341,306,342,60,318,344,302,87,326,343,339,340,320,303],"class_list":["post-913","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-calculator-encyclopedia","tag-center-of-gravity","tag-center-of-gravity-of-a-segment-of-a-sphere","tag-centre-of-gravity","tag-centre-of-gravity-of-a-segment-of-a-sphere","tag-engineering","tag-height","tag-height-of-the-segment-of-the-sphere","tag-mechanics","tag-nickzom-calculator","tag-radius","tag-radius-of-the-sphere","tag-segment","tag-segment-of-a-sphere","tag-sphere","tag-statics","cs-entry"],"yoast_head":"\nHow to Calculate and Solve the Centre of Gravity of a Segment of a Sphere<\/title>\n<meta name=\"description\" content=\"Discover how to find the centre of gravity for a segment of a sphere. 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