{"id":2560,"date":"2019-11-29T05:18:52","date_gmt":"2019-11-29T04:18:52","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2560"},"modified":"2024-03-27T16:38:42","modified_gmt":"2024-03-27T15:38:42","slug":"how-to-calculate-and-solve-for-acceleration-motion-2","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/11\/29\/how-to-calculate-and-solve-for-acceleration-motion-2\/","title":{"rendered":"How to Calculate and Solve for Acceleration | Motion"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents acceleration. To calculate acceleration, two essential parameters are needed, and these parameters are angular velocity (\u03c9)\u00a0<\/strong>and\u00a0radius (r).<\/strong><\/p>\n

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

a = \u03c9\u00b2r<\/p>\n

Where;<\/p>\n

a = Acceleration
\n\u03c9 = Angular Velocity
\nr = Radius<\/p>\n

Let’s solve an example;
\nGiven that the angular velocity is 24 and the radius is 12. Find the acceleration?<\/p>\n

This implies that;<\/p>\n

\u03c9 = Angular Velocity = 24
\nr = Radius = 12<\/p>\n

a = \u03c9\u00b2r
\na = 24\u00b2 x 12
\nSo, a = 576 x 12
\na = 6912<\/p>\n

Therefore, the\u00a0acceleration\u00a0<\/strong>is\u00a06912 m\/s\u00b2.<\/strong><\/p>\n

Calculating the Angular Velocity when the Acceleration and the Time are Given<\/strong><\/h3>\n

\u03c9 = \u221aa<\/sup> \/ r<\/sub><\/p>\n

Where;<\/p>\n

\u03c9 = Angular Velocity
\na = Acceleration
\nr = Radius<\/p>\n

Let’s solve an example;
\nFind the angular velocity when the acceleration is 50 with a radius of 2.<\/p>\n

This implies that;<\/p>\n

a = Acceleration = 50
\nr = Radius = 2<\/p>\n

\u03c9 = \u221aa<\/sup> \/ r<\/sub>
\nThen, \u03c9 = \u221a50<\/sup> \/ 2<\/sub>
\n\u03c9 = \u221a25
\n\u03c9 = 5<\/p>\n

Therefore, the\u00a0angular velocity\u00a0<\/strong>is\u00a05.<\/strong><\/p>\n

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

Calculating the Time when the Acceleration and the Angular Velocity are Given<\/strong><\/h3>\n

r = a<\/sup> \/ \u03c92<\/sup><\/sub><\/p>\n

Where;<\/p>\n

r = Radius
\na = Acceleration
\n\u03c9 = Angular Velocity<\/p>\n

Let’s solve an example;
\nGiven that the angular velocity is 8 and the acceleration is 34. Find the radius?<\/p>\n

This implies that;<\/p>\n

a = Acceleration = 34
\n\u03c9 = Angular Velocity = 8<\/p>\n

r = a<\/sup> \/ \u03c92<\/sup><\/sub>
\nSo, r = 34<\/sup> \/ 82<\/sup><\/sub>
\nr = 34<\/sup> \/ 64<\/sub>
\nr = 0.53<\/p>\n

Therefore, the\u00a0radius\u00a0<\/strong>is\u00a00.53.<\/strong><\/p>\n

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

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

To get the answer and workings of the acceleration 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 Acceleration<\/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 acceleration according to the respective parameters which are the angular velocity (\u03c9) <\/strong>and\u00a0radius (r).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the angular velocity (\u03c9) <\/strong>is 24<\/strong>\u00a0<\/strong>and\u00a0radius (r)<\/strong> is 12<\/strong>.<\/p>\n

\"How<\/p>\n

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

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

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the acceleration and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents acceleration. To calculate acceleration, two essential parameters are needed, and these parameters are angular…","protected":false},"author":5,"featured_media":13361,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Calculate and Solve Acceleration Motion","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn how to accurately caclulate acceleration in phsyics with all the steps, guidance, and formulas. Get precise results with Nickzom!","_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":[523,84,524,486,59,326],"class_list":["post-2560","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-angular-velocity","tag-calculator-encyclopedia","tag-motion","tag-nickom-calculator","tag-physics","tag-radius","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Acceleration | Motion<\/title>\n<meta name=\"description\" content=\"Learn how to accurately caclulate acceleration in phsyics with all the steps, guidance, and formulas. 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