{"id":2693,"date":"2019-11-29T15:55:43","date_gmt":"2019-11-29T14:55:43","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=2693"},"modified":"2024-03-28T04:48:44","modified_gmt":"2024-03-28T03:48:44","slug":"how-to-calculate-and-solve-for-velocity-motion-2","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/11\/29\/how-to-calculate-and-solve-for-velocity-motion-2\/","title":{"rendered":"How to Calculate and Solve for Velocity | Motion"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents velocity. To calculate velocity, three essential parameters are needed and these parameters are angular velocity (\u03c9), amplitude (A)\u00a0<\/strong>and\u00a0displacement (y).<\/strong><\/p>\n

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

v = \u03c9\u221a(A\u00b2 – y\u00b2)<\/p>\n

Where;<\/p>\n

v = Velocity
\n\u03c9 = Angular Velocity
\nA = Amplitude
\ny = Displacement<\/p>\n

Let’s solve an example;
\nFind the velocity when the angular velocity is 7, amplitude is 10 and displacement is 13.<\/p>\n

This implies that;<\/p>\n

\u03c9 = Angular Velocity = 7
\nA = Amplitude = 10
\ny = Displacement = 13<\/p>\n

v = \u03c9\u221a(A\u00b2 – y\u00b2)
\nSo, v = 7 x \u221a(10\u00b2 – 13\u00b2)
\nv = 7 x \u221a(100 – 169)
\nv = 7 x \u221a(-69)<\/p>\n

i signifies a complex number = \u221a(-1).<\/p>\n

Then, v = 7 x \u221a(69) x \u221a(-1)
\nv = 7 x \u221a(69)i
\nThat is, v = 7 x 8.30i
\nv = 7(8.30i)<\/p>\n

Therefore, the\u00a0velocity\u00a0<\/strong>is\u00a07(8.30i) m\/s.<\/strong><\/p>\n

Calculating the Angular Velocity when the Velocity, the Amplitude and the Displacement are Given<\/strong><\/h3>\n

\u03c9 = v<\/sup> \/ \u221a(A2<\/sup> – y2<\/sup>)<\/sub><\/p>\n

Where;<\/p>\n

\u03c9 = Angular Velocity
\nv = Velocity
\nA = Amplitude
\ny = Displacement<\/p>\n

Let’s solve an example;
\nFind the angular velocity when the velocity is 28, the amplitude is 14, and the displacement is 10.<\/p>\n

This implies that;<\/p>\n

v = Velocity = 28
\nA = Amplitude = 14
\ny = Displacement = 10<\/p>\n

\u03c9 = v<\/sup> \/ \u221a(A2<\/sup> – y2<\/sup>)<\/sub>
\n\u03c9 = 28<\/sup> \/ \u221a(142<\/sup> – 102<\/sup>)<\/sub>
\nSo, \u03c9 = 28<\/sup> \/ \u221a(196 – 100)<\/sub>
\n\u03c9 = 28<\/sup> \/ \u221a(96)<\/sub>
\nThat is, \u03c9 = 28<\/sup> \/ 9.79<\/sub>
\n\u03c9 = 2.86<\/p>\n

Therefore, the\u00a0angular velocity\u00a0<\/strong>is\u00a02.86.<\/strong><\/p>\n

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

Calculating the Amplitude when the Velocity, the Angular Velocity and the Displacement are Given<\/strong><\/h3>\n

A = \u221a(v2<\/sup><\/sup> \/ \u03c92<\/sup><\/sub> + y2<\/sup>)<\/p>\n

Where;<\/p>\n

A = Amplitude
\nv = Velocity
\n\u03c9 = Angular Velocity
\ny = Displacement<\/p>\n

Let’s solve an example;
\nFind the amplitude when the velocity is 20, the angular velocity is 8 and the displacement is 4.<\/p>\n

This implies that;<\/p>\n

v = Velocity = 20
\n\u03c9 = Angular Velocity = 8
\ny = Displacement = 4<\/p>\n

A = \u221a(v2<\/sup><\/sup> \/ \u03c92<\/sup><\/sub> + y2<\/sup>)
\nSo, A = \u221a(202<\/sup><\/sup> \/ 82<\/sup><\/sub> + 42<\/sup>)
\nA = \u221a(400<\/sup> \/ 64<\/sub> + 16)
\nA = \u221a(6.25 + 16)
\nThen, A = \u221a22.25
\nA = 4.716<\/p>\n

Therefore, the\u00a0amplitude\u00a0<\/strong>is\u00a04.716.<\/strong><\/p>\n

Calculating the Displacement when the Velocity, the Angular Velocity and the Amplitude are Given<\/strong><\/h3>\n

y = \u221a(A2<\/sup> – v2<\/sup><\/sup> \/ \u03c92<\/sup><\/sub>)<\/p>\n

Where;<\/p>\n

y = Displacement
\nv = Velocity
\n\u03c9 = Angular Velocity
\nA = Amplitude<\/p>\n

Let’s solve an example;
\nFind the displacement when the velocity is 30, the angular velocity is 25 and the amplitude is 12.<\/p>\n

This implies that;<\/p>\n

v = Velocity = 30
\n\u03c9 = Angular Velocity = 25
\nA = Amplitude = 12<\/p>\n

y = \u221a(A2<\/sup> – v2<\/sup><\/sup> \/ \u03c92<\/sup><\/sub>)
\nSo, y = \u221a(122<\/sup> – 302<\/sup><\/sup> \/ 252<\/sup><\/sub>)
\ny = \u221a(144 – 900<\/sup> \/ 625<\/sub>)
\ny = \u221a(144 – 1.44)
\nThen, y = \u221a142.56
\ny = 11.939<\/p>\n

Therefore, the\u00a0displacement\u00a0<\/strong>is\u00a011.939.<\/strong><\/p>\n

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

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

To get the answer and workings of the velocity 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\u00a0Motion<\/strong>\u00a0<\/strong>under\u00a0Physics<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Velocity<\/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 angular velocity according to the respective parameters which are the angular velocity (\u03c9), amplitude (A)\u00a0<\/strong>and\u00a0displacement (y).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the \u00a0angular velocity (\u03c9)<\/strong> is 10<\/strong>, amplitude (A)<\/strong> is 10 <\/strong>and displacement (y)<\/strong> is 13<\/strong>.<\/p>\n

\"How<\/p>\n

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

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

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the velocity and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents velocity. To calculate velocity, three essential parameters are needed and these parameters are angular…","protected":false},"author":5,"featured_media":13386,"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":[771,523,84,772,524,87,59,117],"class_list":["post-2693","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-amplitude","tag-angular-velocity","tag-calculator-encyclopedia","tag-displacement","tag-motion","tag-nickzom-calculator","tag-physics","tag-velocity","cs-entry"],"yoast_head":"\nHow to Calculate and Solve for Velocity | Motion<\/title>\n<meta name=\"description\" content=\"Learn the steps and the workings on How to Calculate and Solve for Velocity | Motion. 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