{"id":5341,"date":"2021-07-22T04:46:11","date_gmt":"2021-07-22T03:46:11","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5341"},"modified":"2024-05-07T16:20:24","modified_gmt":"2024-05-07T15:20:24","slug":"how-to-calculate-and-solve-for-polar-moment-of-inertia-material-selection","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/07\/22\/how-to-calculate-and-solve-for-polar-moment-of-inertia-material-selection\/","title":{"rendered":"How to Calculate and Solve for Polar Moment of Inertia | Material Selection"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents polar moment of inertia. One essential parameter is needed to calculate the polar moment of inertia, and this parameter is Radius (r).<\/p>\n

The formula for calculating polar moment of inertia:<\/strong><\/h3>\n

J =\u00a0\u03c0r4<\/sup>\/2<\/sub><\/p>\n

Where:<\/p>\n

J = Polar Moment of Inertia
\nr = Radius<\/p>\n

Let’s solve an example;
\nFind the polar moment of inertia when the radius is 22.<\/p>\n

This implies that;<\/p>\n

r = Radius = 22<\/p>\n

J =\u00a0\u03c0r4<\/sup>\/2<\/sub>
\nJ =\u00a0\u03c0(22)4<\/sup>\/2<\/sub>
\nSo, J = \u03c0(234256)<\/sup>\/2<\/sub>
\nJ =\u00a0735936.928<\/sup>\/2<\/sub>
\nJ = 367968.46<\/p>\n

Therefore, the\u00a0polar moment of inertia\u00a0<\/strong>is\u00a0367968.46 m4<\/sup>.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Mass of Cylindrical Shaft | Material Selection<\/a><\/p>\n

Calculating the Radius when the Polar Moment of Inertia is Given<\/strong><\/h3>\n

r = 4\u221a(2J<\/sup> \/ \u03c0<\/sub>)<\/p>\n

Where;<\/p>\n

r = Radius
\nJ = Polar Moment of Inertia<\/p>\n

Let’s solve an example;
\nGiven that the polar moment of inertia is 30. Find the radius?<\/p>\n

This implies that;<\/p>\n

J = Polar Moment of Inertia = 30<\/p>\n

r = 4\u221a(2J<\/sup> \/ \u03c0<\/sub>)
\nr = 4\u221a(2 x 30<\/sup> \/ \u03c0<\/sub>)
\nThen, r = 4\u221a(60<\/sup> \/ \u03c0<\/sub>)
\nr = 4\u221a19.09
\nr = 17.47<\/p>\n

Therefore, the\u00a0radius\u00a0<\/strong>is\u00a017.47 m.<\/strong><\/p>\n

How to Calculate Polar Moment of Inertia Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the polar moment of inertia.<\/p>\n

\n

To get the answer and workings of the polar moment of inertia 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\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on Material Selection<\/strong>\u00a0<\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Polar Moment of Inertia <\/strong>under Material Selection<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your valus, to get the answer for the polar moment of inertia according to the respective parameter which is the Radius (r).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the value appropriately and accordingly for the parameter as required by the\u00a0Radius (r)\u00a0<\/strong>is\u00a022.<\/strong><\/p>\n

\"How<\/p>\n

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

\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the polar moment of inertia and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents polar moment of inertia. One essential parameter is needed to calculate the polar moment…","protected":false},"author":5,"featured_media":14790,"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":""},"categories":[47],"tags":[60,1541,543,1540,326],"class_list":["post-5341","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-material-selection","tag-materials-and-metallurgical","tag-polar-moment-of-inertia","tag-radius","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Polar Moment of Inertia | Material Selection<\/title>\n<meta name=\"description\" content=\"Master the steps and the formula on How to Calculate Polar Moment of Inertia in Material Selection. 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