{"id":1654,"date":"2019-04-05T09:58:40","date_gmt":"2019-04-05T08:58:40","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=1654"},"modified":"2024-02-19T08:05:29","modified_gmt":"2024-02-19T07:05:29","slug":"how-to-calculate-and-solve-for-maximum-velocity-coefficient-of-friction-and-radius-of-a-body-in-motion-of-circular-path-nickzom-calculator","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2019\/04\/05\/how-to-calculate-and-solve-for-maximum-velocity-coefficient-of-friction-and-radius-of-a-body-in-motion-of-circular-path-nickzom-calculator\/","title":{"rendered":"How to Calculate and Solve for Maximum Velocity, Coefficient of Friction and Radius of a Body in Motion of Circular Path | Nickzom Calculator"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents maximum velocity in circular motion. To calculate the maximum velocity, three essential parameters are needed and these parameters are coefficient of friction (\u03bc), radius (r) and acceleration due to gravity (g).<\/strong><\/p>\n

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

Vmax<\/sub>\u00a0= \u221a(\u03bcgr)<\/p>\n

Where;
\nVmax<\/sub> = maximum velocity
\n\u03bc = coefficient of friction
\nr = radius
\ng = acceleration due to gravity<\/p>\n

Let’s solve an example;
\nFind the maximum velocity when the coefficient of friction is 14 with a radius of 7 and acceleration due to gravity of 9.8.<\/p>\n

This implies that;
\n\u03bc = coefficient of friction = 14
\nr = radius = 7
\ng = acceleration due to gravity = 9.8<\/p>\n

Vmax<\/sub>\u00a0= \u221a(\u03bcgr)
\nVmax<\/sub>\u00a0= \u221a(14 x 7 x 9.8)
\nSo, Vmax<\/sub>\u00a0= \u221a(960.40)
\nVmax<\/sub>\u00a0= 30.99<\/p>\n

Therefore, the maximum velocity<\/strong> is 30.99 m\/s.<\/strong><\/p>\n

Calculating the Coefficient of Friction when the Maximum Velocity, Radius and Acceleration due to Gravity is Given<\/strong><\/h3>\n

\u03bc = Vmax<\/sub>2<\/sup><\/sup> \/ gr<\/sub><\/p>\n

Where;
\n\u03bc = coefficient of friction
\nVmax<\/sub> = maximum velocity
\nr = radius
\ng = acceleration due to gravity<\/p>\n

Let’s solve an example;
\nFind the coefficient of friction with a maximum velocity of 120, radius of 15, and acceleration due to gravity is 9.8.<\/p>\n

This implies that;
\nVmax<\/sub> = maximum velocity = 120
\nr = radius = 15
\ng = acceleration due to gravity = 9.8<\/p>\n

\u03bc = Vmax<\/sub>2<\/sup><\/sup> \/ gr<\/sub>
\n\u03bc = 1202<\/sup><\/sup> \/ 15 x 9.8<\/sub>
\nThen, \u03bc = 14400<\/sup> \/ 147<\/sub>
\n\u03bc = 97.96<\/p>\n

Therefore, the coefficient of friction<\/strong> is 97.96.<\/strong><\/p>\n

<\/p>\n

Calculating the Radius when the Maximum Velocity, Coefficient of Friction and Acceleration due to Gravity are Given<\/strong><\/h3>\n

r = Vmax<\/sub>2<\/sup><\/sup> \/ g\u03bc<\/sub><\/p>\n

Where;
\nr = radius
\nVmax<\/sub> = maximum velocity
\n\u03bc = coefficient of friction
\ng = acceleration due to gravity<\/p>\n

Let’s solve an example;
\nFind the radius with a maximum velocity of\u00a0 90, coefficient of friction of 24 and acceleration due to gravity is 9.8?<\/p>\n

This implies that;
\nVmax<\/sub> = maximum velocity = 90
\n\u03bc = coefficient of friction = 24
\ng = acceleration due to gravity = 9.8<\/p>\n

r = Vmax<\/sub>2<\/sup><\/sup> \/ g\u03bc<\/sub>
\nr = 902<\/sup><\/sup> \/ 9.8 x 24<\/sub>
\nThen, r = 8100<\/sup> \/ 235.2<\/sub>
\nr = 34.44<\/p>\n

Therefore, the radius<\/strong> is 34.44.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Maximum Velocity to avoid Overturning of a Vehicle moving along a Level Circular Path | The Calculator Encyclopedia<\/a><\/p>\n

How to Calculate Maximum Velocity Using Nickzom Calculator<\/strong><\/h3>\n

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

To get the answer and workings of the maximum velocity using the Nickzom Calculator \u2013 The Calculator Encyclopedia<\/strong>, 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><\/p>\n

Once, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Mechanics\u00a0<\/strong>under\u00a0Engineering<\/strong><\/p>\n

\"How<\/p>\n

Now, Click on\u00a0Motion of Circular Path\u00a0<\/strong>under\u00a0Mechanics<\/strong><\/p>\n

\"How<\/p>\n

Click on Maximum Velocity<\/strong>\u00a0<\/strong>under\u00a0Motion of Circular Path<\/strong><\/p>\n

\"How<\/p>\n

The screenshot below displays the page or activity to enter your value, to get the answer for the maximum velocity according to the respective parameter which are the coefficient of friction (\u03bc)<\/strong>, radius (r)<\/strong> and acceleration due to gravity (g)<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the value appropriately and accordingly for the parameter as required by the coefficient of friction (\u03bc)<\/strong> is 14<\/strong>, radius (r)<\/strong> is 7 <\/strong>and acceleration due to gravity (g)\u00a0<\/strong>is\u00a09.8.<\/strong><\/p>\n

\"\"<\/p>\n

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

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

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong> \u2013 The Calculator Encyclopedia solves for the maximum velocity and presents the formula, workings, and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents maximum velocity in circular motion. To calculate the maximum velocity, three essential parameters are…","protected":false},"author":5,"featured_media":12879,"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":[47,51],"tags":[84,530,130,60,532,524,87,59,326,117],"class_list":["post-1654","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","category-physics","tag-calculator-encyclopedia","tag-circular-path","tag-coefficient","tag-engineering","tag-friction","tag-motion","tag-nickzom-calculator","tag-physics","tag-radius","tag-velocity","cs-entry"],"yoast_head":"\nHow to Calculate 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content=\"How to Calculate and Solve for Maximum Velocity, Coefficient of Friction and Radius of a Body in Motion of Circular Path | Nickzom Calculator\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.nickzom.org\/blog\/2019\/04\/05\/how-to-calculate-and-solve-for-maximum-velocity-coefficient-of-friction-and-radius-of-a-body-in-motion-of-circular-path-nickzom-calculator\/\" \/>\n<meta property=\"og:site_name\" content=\"Nickzom Academy\" \/>\n<meta property=\"article:published_time\" content=\"2019-04-05T08:58:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-02-19T07:05:29+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2019\/04\/fa4bf074-c647-4fd9-9135-d44b4d4de613.jpeg\" \/>\n\t<meta property=\"og:image:width\" content=\"1024\" \/>\n\t<meta property=\"og:image:height\" content=\"1024\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Loveth 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