{"id":2563,"date":"2019-11-29T09:32:03","date_gmt":"2019-11-29T08:32:03","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2563"},"modified":"2024-03-27T17:09:55","modified_gmt":"2024-03-27T16:09:55","slug":"how-to-calculate-and-solve-for-period-motion-3","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/11\/29\/how-to-calculate-and-solve-for-period-motion-3\/","title":{"rendered":"How to Calculate and Solve for Period | Motion"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents period. To calculate period, two essential parameters are needed and these parameters are length (l)\u00a0<\/strong>and\u00a0acceleration due to gravity (g).<\/strong><\/p>\n

The formula for calculating period:<\/p>\n

T = 2\u03c0(\u221a(l<\/sup> \/ g<\/sub>))<\/p>\n

Where;<\/p>\n

T = Period
\nl = Length
\ng = Acceleration due to gravity<\/p>\n

Let’s solve an example;
\nFind the period when the length is 4 and the acceleration due to gravity is 9.8.<\/p>\n

This implies that;<\/p>\n

l = Length = 4
\ng = Acceleration due to gravity = 9.8<\/p>\n

T = 2\u03c0(\u221a(l<\/sup> \/ g<\/sub>))
\nSo, T = 2\u03c0(\u221a(4<\/sup> \/ 9.8<\/sub>))
\nT = 2\u03c0(\u221a(0.408))
\nT = 2\u03c0(0.6388)
\nThen, T = 6.28 x 0.6388
\nT = 4.014<\/p>\n

Therefore, the\u00a0period\u00a0<\/strong>is\u00a04.014 s.<\/strong><\/p>\n

Calculating the Length when the Period and the Acceleration due to Gravity is Given<\/strong><\/h3>\n

l = (T<\/sup> \/ 2\u03c0<\/sub>)2<\/sup> x g<\/p>\n

Where;<\/p>\n

l = Length
\nT = Period
\ng = Acceleration due to gravity<\/p>\n

Let’s solve an example;
\nFind the length when the period is 28, and the acceleration due to gravity is 9.8.<\/p>\n

This implies that;<\/p>\n

T = Period = 28
\ng = Acceleration due to gravity = 9.8<\/p>\n

l = (T<\/sup> \/ 2\u03c0<\/sub>)2<\/sup> x g
\nl = (28<\/sup> \/ 6.28<\/sub>)2<\/sup> x 9.8
\nSo, l = (4.458)2<\/sup> x 9.8
\nl = 19.87 x 9.8
\nl = 194.7<\/p>\n

Therefore, the\u00a0length\u00a0<\/strong>is\u00a0194.7.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Recoil Velocity | Motion<\/a><\/p>\n

Calculating the Acceleration due to Gravity when the Period and the Length are Given<\/strong><\/h3>\n

g = l<\/sup> \/ (T<\/sup> \/ 2\u03c0<\/sub>)2<\/sup><\/p>\n

Where;<\/p>\n

g = Acceleration due to gravity
\nT = Period
\nl = Length<\/p>\n

Let’s solve an example;
\nFind the acceleration due to gravity when the period is 12 and length is 3.<\/p>\n

This implies that;<\/p>\n

T = Period = 12
\nl = Length = 3<\/p>\n

g = l<\/sup> \/ (T<\/sup> \/ 2\u03c0<\/sub>)2<\/sup>
\ng = 3<\/sup> \/ (12<\/sup> \/ 6.28<\/sub>)2<\/sup>
\nThen, g = 3<\/sup> \/ (1.91<\/sub>)2<\/sup>
\ng = 3<\/sup> \/ 3.648<\/sub>
\ng = 0.82<\/p>\n

Therefore, the\u00a0acceleration due to gravity\u00a0<\/strong>is\u00a00.82.<\/strong><\/p>\n

How to Calculate and Solve for Period Using Nickzom Calculator<\/strong><\/h3>\n

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

To get the answer and workings of the period 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 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>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on Motion<\/strong>\u00a0<\/strong>under Physics<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Period<\/strong>\u00a0<\/strong>under\u00a0Motion<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the period according to the respective parameters which are the\u00a0length (l)\u00a0<\/strong>and\u00a0acceleration due to gravity (g).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0length (l)\u00a0<\/strong>is\u00a04\u00a0<\/strong>and\u00a0acceleration due to gravity (g)\u00a0<\/strong>is\u00a09.8.<\/strong><\/p>\n

\"How<\/p>\n

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

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

As you can see\u00a0from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the period and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents period. To calculate period, two essential parameters are needed and these parameters are length…","protected":false},"author":5,"featured_media":13375,"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":[51],"tags":[209,84,169,524,87,59],"class_list":["post-2563","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-acceleration-due-to-gravity","tag-calculator-encyclopedia","tag-length","tag-motion","tag-nickzom-calculator","tag-physics","cs-entry"],"yoast_head":"\nHow to Calculate and Solve 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