{"id":5054,"date":"2021-03-07T14:13:21","date_gmt":"2021-03-07T13:13:21","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=5054"},"modified":"2024-04-27T11:09:12","modified_gmt":"2024-04-27T10:09:12","slug":"how-to-calculate-and-solve-for-co-efficient-of-friction-merchant-force-circle","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/03\/07\/how-to-calculate-and-solve-for-co-efficient-of-friction-merchant-force-circle\/","title":{"rendered":"How to Calculate and Solve for Co-efficient of Friction | Merchant Force Circle"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents co-efficient of friction. To calculate co-efficient of friction, two essential parameters are needed and these parameters are Frictional Resistance of the Tool acting on the Chip (F)\u00a0<\/strong>and\u00a0Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool (N).<\/strong><\/p>\n

The formula for calculating co-efficient of friction:<\/strong><\/h3>\n

\u03bc = F<\/sup> \/ N<\/sub><\/p>\n

Where:<\/p>\n

\u03bc = Co-efficient of Friction
\nF = Frictional Resistance of the Tool acting on the Chip
\nN = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool<\/p>\n

Let’s solve an example;
\nFind the co-efficient of friction when the frictional resistance of the tool acting on the chip is 48 and the force at the tool chip interface acting normal to the cutting force of the tool is 12.<\/p>\n

This implies that;<\/p>\n

F = Frictional Resistance of the Tool acting on the Chip = 48
\nN = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool = 12<\/p>\n

\u03bc = F<\/sup> \/ N<\/sub>
\nThat is, \u03bc = 48<\/sup> \/ 12<\/sub>
\n\u03bc = 4<\/p>\n

Therefore, the\u00a0co-efficient of friction\u00a0<\/strong>is\u00a04.<\/strong><\/p>\n

Calculating the Frictional Resistance of the Tool acting on the Chip when the Co-efficient of Friction and the Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool are Given<\/strong><\/h3>\n

F = \u03bc x N<\/p>\n

Where;<\/p>\n

F = Frictional Resistance of the Tool acting on the Chip
\n\u03bc = Co-efficient of Friction
\nN = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool<\/p>\n

Let’s solve an example;
\nFind the frictional resistance of the tool acting on the chip when the co-efficient of friction is 30 and the force at the tool chip interface acting normal to the cutting force of the tool is 15.<\/p>\n

This implies that;<\/p>\n

\u03bc = Co-efficient of Friction = 30
\nN = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool = 15<\/p>\n

That is, F = \u03bc x N
\nF = 30 x 15
\nF = 450<\/p>\n

Therefore, the\u00a0frictional resistance of the tool acting on the chip\u00a0<\/strong>is\u00a0450 N.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Angle of Friction | Merchant Force Circle<\/a><\/p>\n

Calculating the Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool when the Co-efficient of Friction and the Frictional Resistance of the Tool acting on the Chip is Given<\/strong><\/h3>\n

N = F<\/sup> \/ \u03bc<\/sub><\/p>\n

Where;<\/p>\n

N = Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool
\n\u03bc = Co-efficient of Friction
\nF = Frictional Resistance of the Tool acting on the Chip<\/p>\n

Let’s solve an example;
\nGiven that the co-efficient of friction is 20 and the frictional resistance of the tool acting on the chip is 180. Find the force at the tool chip interface acting normal to the cutting force of the tool?<\/p>\n

This implies that;<\/p>\n

\u03bc = Co-efficient of Friction = 20
\nF = Frictional Resistance of the Tool acting on the Chip = 180<\/p>\n

N = F<\/sup> \/ \u03bc<\/sub>
\nThat is, N = 180<\/sup> \/ 20<\/sub>
\nN = 9<\/p>\n

Therefore, the\u00a0force at the tool chip interface acting normal to cutting force of the tool\u00a0<\/strong>is\u00a09 N.<\/strong><\/p>\n

How to Calculate Co-efficient of Friction Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the co-efficient of friction.<\/p>\n

To get the answer and workings of the co-efficient of friction using the\u00a0Nickzom 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 2,000\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\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on\u00a0Metal Forming Processes <\/strong>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

<\/p>\n

Now, Click on Merchant Force Circle<\/strong>\u00a0<\/strong>under\u00a0Metal Forming Processes<\/strong><\/p>\n

\"How<\/p>\n

So, Click on Co-efficient of Friction<\/strong>\u00a0<\/strong>under\u00a0Merchant Force Circle<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the co-efficient of friction according to the respective parameters which is the Frictional Resistance of the Tool acting on the Chip (F)\u00a0<\/strong>and\u00a0Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool (N).<\/strong><\/p>\n

\"How<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Frictional Resistance of the Tool acting on the Chip (F)\u00a0<\/strong>is\u00a048\u00a0<\/strong>and\u00a0Force at the Tool Chip Interface acting Normal to the Cutting Force of the Tool (N)<\/strong>\u00a0is 12<\/strong>.<\/span><\/p>\n

\"\"<\/p>\n

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

\"How<\/p>\n

As you can see from the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the co-efficient of friction and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents co-efficient of friction. To calculate co-efficient of friction, two essential parameters are needed and…","protected":false},"author":5,"featured_media":14579,"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":[47],"tags":[1446,60,1445,1444,543,1443,1426],"class_list":["post-5054","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-coefficient-of-friction","tag-engineering","tag-force-at-the-tool-chip-interface-acting-normal-to-cutting-force-of-the-tool","tag-frictional-resistance-of-the-tool-acting-on-the-chip","tag-materials-and-metallurgical","tag-merchant-force-circle","tag-metal-forming-processes","cs-entry"],"yoast_head":"\nHow 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