{"id":2564,"date":"2019-11-29T03:15:50","date_gmt":"2019-11-29T02:15:50","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2564"},"modified":"2024-03-18T10:16:26","modified_gmt":"2024-03-18T09:16:26","slug":"how-to-calculate-and-solve-for-period-motion","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/11\/29\/how-to-calculate-and-solve-for-period-motion\/","title":{"rendered":"How to Calculate and Solve for Period | Motion"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents period. To calculate period in motion, two essential parameters are needed and these parameters are mass (m)\u00a0<\/strong>and\u00a0elastic constant (k).<\/strong><\/p>\n

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

T = 2\u03c0(\u221a(m<\/sup> \/ k<\/sub>))<\/p>\n

Where;<\/p>\n

T = Period
\nm = Mass
\nk = Elastic Constant<\/p>\n

Let’s solve an example;
\nFind the period when the mass is 32 and the elastic constant is 16.<\/p>\n

This implies that;<\/p>\n

m = Mass = 32
\nk = Elastic Constant = 16<\/p>\n

T = 2\u03c0(\u221a(m<\/sup> \/ k<\/sub>))
\nT = 2\u03c0 x (\u221a(32<\/sup> \/ 16<\/sub>))
\nSo, T = 2\u03c0 x (\u221a(2))
\nT = 2\u03c0 x 1.41
\nT = 6.28 x 1.41
\nThen, T = 8.88<\/p>\n

Therefore, the\u00a0period\u00a0<\/strong>is\u00a08.88 s.<\/strong><\/p>\n

Calculating the Mass when the Period and the Elastic Constant are Given<\/strong><\/h3>\n

m = (T<\/sup> \/ 2\u03c0)2<\/sup> x k<\/sub><\/p>\n

Where;<\/p>\n

m = Mass
\nT = Period
\nk = Elastic Constant<\/p>\n

Let’s solve an example;
\nFind the mass when the period is 22, and the elastic constant is 8.<\/p>\n

This implies that;<\/p>\n

T = Period = 22
\nk = Elastic Constant = 8<\/p>\n

m = (T<\/sup> \/ 2\u03c0<\/sub>)2<\/sup> x k
\nm = (22<\/sup> \/ 6.28<\/sub>)2<\/sup> x 8
\nSo, m = (3.50)2<\/sup> x 8
\nm = 12.25 x 8
\nm = 98<\/p>\n

Therefore, the mass<\/strong> is 98.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Reaction: Lift Moves Up | Motion<\/a><\/p>\n

Calculating the Elastic Constant when the Period and the Mass are Given<\/strong><\/h3>\n

k = m<\/sup> \/ (T<\/sup> \/ 2\u03c0<\/sub>)2<\/sup><\/p>\n

Where;<\/p>\n

k = Elastic Constant
\nT = Period
\nm = Mass<\/p>\n

Let’s solve an example;
\nGiven that the period is 12 and the mass is 7, find the elastic constant.<\/p>\n

This implies that;<\/p>\n

T = Period = 12
\nm = Mass = 7<\/p>\n

k = m<\/sup> \/ (T<\/sup> \/ 2\u03c0<\/sub>)2<\/sup>
\nk = 7<\/sup> \/ (12<\/sup> \/ 6.28<\/sub>)2<\/sup>
\nThen, k = 7<\/sup> \/ (1.91<\/sub>)2<\/sup>
\nk = 7<\/sup> \/ 3.648<\/sub>
\nk = 1.918<\/p>\n

Therefore, the\u00a0elastic constant\u00a0<\/strong>is\u00a01.918.<\/strong><\/p>\n

How to Calculate and Solve for Period in Motion 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 mass<\/strong>\u00a0(m) <\/strong>and elastic constant<\/strong>\u00a0(k).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the mass<\/strong>\u00a0(m) <\/strong>is 32 <\/strong>and elastic constant<\/strong>\u00a0(k) <\/strong>is 16.<\/strong><\/p>\n

\"\"<\/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 period and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents period. To calculate period in motion, two essential parameters are needed and these parameters…","protected":false},"author":5,"featured_media":13336,"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":[51],"tags":[84,765,289,524,87,766,59],"class_list":["post-2564","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-calculator-encyclopedia","tag-elastic-constant","tag-mass","tag-motion","tag-nickzom-calculator","tag-period","tag-physics","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Period | 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