{"id":3700,"date":"2020-08-24T04:41:59","date_gmt":"2020-08-24T03:41:59","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=3700"},"modified":"2024-04-15T12:36:55","modified_gmt":"2024-04-15T11:36:55","slug":"how-to-calculate-and-solve-for-gravity-anomaly-for-a-semi-infinite-horizontal-sheet-gravity","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2020\/08\/24\/how-to-calculate-and-solve-for-gravity-anomaly-for-a-semi-infinite-horizontal-sheet-gravity\/","title":{"rendered":"How to Calculate and Solve for Gravity Anomaly for a Semi-Infinite Horizontal Sheet | Gravity"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents gravity anomaly for a semi-infinite horizontal sheet. To calculate gravity anomaly for a semi-infinite horizontal sheet, five essential parameters are needed and these parameters are Gravitational Constant (G), Anomalous Density (\u0394\u03c1), Thickness of the Sheet (t), <\/strong>Horizontal Distance (x)<\/strong> and Depth Buried (d).<\/strong><\/p>\n

The formula for calculating gravity anomaly for a semi-infinite horizontal sheet:<\/strong><\/h3>\n

\u03b4gz<\/sub>\u00a0= 2G\u0394\u03c1t [\u03c0<\/sup>\/2<\/sub>\u00a0+ tan-1<\/sup>(x<\/sup>\/d<\/sub>)]<\/p>\n

Where:<\/p>\n

\u03b4gz<\/sub>\u00a0= Gravity Anomaly for a Semi-Infinite Horizontal Sheet
\nG = Gravitational Constant
\n\u0394\u03c1 = Anomalous Density
\nt = Thickness of the Sheet
\nx = Horizontal Distance
\nd = Depth Buried<\/p>\n

Let’s solve an example;
\nFind the gravity anomaly for a semi-infinite horizontal sheet when the gravitational constant is 6.67E-11, the anomalous density is 12, the thickness of the sheet is 14, the horizontal distance is 18 and the depth buried is 5.<\/p>\n

This implies that;<\/p>\n

G = Gravitational Constant = 6.67E-11
\n\u0394\u03c1 = Anomalous Density = 12
\nt = Thickness of the Sheet = 14
\nx = Horizontal Distance = 18
\nd = Depth Buried = 5<\/p>\n

\u03b4gz<\/sub>\u00a0= 2G\u0394\u03c1t [\u03c0<\/sup>\/2<\/sub>\u00a0+ tan-1<\/sup>(x<\/sup>\/d<\/sub>)]
\nThat is, \u03b4gz<\/sub>\u00a0= 2(6.67e-11)(12)(14) [\u03c0<\/sup>\/2<\/sub>\u00a0+ tan-1<\/sup>(18<\/sup>\/5<\/sub>)]
\n\u03b4gz<\/sub> = 2.2411200000000002e-8 [1.570 + tan-1<\/sup>(3.6)]
\n\u03b4gz<\/sub> = 2.2411200000000002e-8 [1.570 + 74.475]
\nThen, \u03b4gz<\/sub> = 2.2411200000000002e-8 [76.046]
\n\u03b4gz<\/sub> = 0.000001704<\/p>\n

Therefore, the gravity anomaly for a semi-infinite horizontal sheet<\/strong> is\u00a00.000001704 mGal.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Gravity Anomaly for an Infinitely Long Cylinder | Gravity<\/a><\/p>\n

How to Calculate Gravity Anomaly for a Semi-Infinite Horizontal Sheet Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the gravity anomaly for a semi-infinite horizontal sheet.<\/p>\n

To get the answer and workings of the gravity anomaly for a semi-infinite horizontal sheet using the Nickzom 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 2,000\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>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Geology<\/strong>\u00a0<\/b>under\u00a0Add-on<\/strong>.<\/strong><\/p>\n

<\/p>\n

Now, Click on\u00a0Gravity\u00a0<\/strong>under Geology<\/strong><\/p>\n

<\/p>\n

Now, Click on gravity anomaly for a semi-infinite horizontal sheet <\/strong>under\u00a0Gravity<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the gravity anomaly for a semi-infinite horizontal sheet according to the respective parameters which are the Gravitational Constant (G), Anomalous Density (\u0394\u03c1), Thickness of the Sheet (t), <\/strong>Horizontal Distance (x)<\/strong> and Depth Buried (d).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Gravitational Constant (G)<\/strong> is 6.67E-11<\/strong>, Anomalous Density (\u0394\u03c1)<\/strong> is 12<\/strong>, Thickness of the Sheet (t)<\/strong> is 14<\/strong>, Horizontal Distance (x)<\/strong> is\u00a018<\/strong> and Depth Buried (d)<\/strong> is 5<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the gravity anomaly for a semi-infinite horizontal sheet and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents gravity anomaly for a semi-infinite horizontal sheet. To calculate gravity anomaly for a semi-infinite…","protected":false},"author":5,"featured_media":13848,"comment_status":"open","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":[48],"tags":[658,1033,1035,64,1026,642,1039,1036,1038],"class_list":["post-3700","post","type-post","status-publish","format-standard","has-post-thumbnail","category-geology","tag-add-on","tag-anomalous-density","tag-depth-buried","tag-geology","tag-gravitational-constant","tag-gravity","tag-gravity-anomaly-for-a-semi-infinite-horizontal-sheet","tag-horizontal-distance","tag-thickness-of-the-sheet","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Gravity Anomaly for a Semi-Infinite Horizontal Sheet | Gravity<\/title>\n<meta name=\"description\" content=\"Here's How to Calculate and Solve for Gravity Anomaly for a Semi-Infinite Horizontal Sheet. 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