{"id":793,"date":"2018-12-20T12:23:08","date_gmt":"2018-12-20T11:23:08","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=793"},"modified":"2024-02-14T09:33:54","modified_gmt":"2024-02-14T08:33:54","slug":"how-to-calculate-the-resultant-of-two-vectors-physics","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/12\/20\/how-to-calculate-the-resultant-of-two-vectors-physics\/","title":{"rendered":"How to Calculate the Resultant of Two Vectors (Physics)"},"content":{"rendered":"

According to Math Warehouse<\/a>, the resultant vector is the vector that ‘results’ from adding two or more vectors together.<\/p>\n

The formula for calculating the resultant of two vectors is:<\/p>\n

R = \u221a[P2<\/sup> + Q2<\/sup> + 2PQcos\u03b8]<\/p>\n

Where:
\nR = Resultant of the Two Vectors
\nP = Magnitude of the First Vector
\nQ = Magnitude of the Second Vector
\n\u03b8 = Inclination Angle between the Two Vectors<\/p>\n

Let’s solve an example, find the resultant of two vectors where the first vector has a magnitude of 30<\/strong> and the second vector has a magnitude of 40\u00a0<\/strong>with 50\u00b0<\/strong> has the inclination between the two vectors.<\/p>\n

From the example above, we can see that P<\/strong> is 30, Q<\/strong> is 40 and \u03b8<\/strong> is 50. Now, inserting these values into the formula we compute for the resultant<\/strong> of the two vectors.<\/p>\n

R = \u221a[(30)\u00b2 + (40)\u00b2 + 2(30)(40) . cos50\u00b0]
\nR = \u221a[900 + 1600 + 2(1200) . (0.6427876096865394)]
\nR = \u221a[900 + 1600 + 2400(0.6427876096865394)]
\nR = \u221a[900 + 1600 + 1542.6902632476945]
\nSo, R = \u221a[4042.6902632476945]
\nR = 63.58215365373915<\/p>\n

Therefore, the resultant of the two vectors is\u00a063.58215365373915<\/strong>.<\/p>\n

We can also use Nickzom calculator. You need to know the magnitude of the two vectors and the inclination between the two vectors.<\/p>\n

<\/p>\n

Expedite Your Resultant of Two Vectors Calculation with Nickzom Calculator<\/h3>\n

Nickzom Calculator is the very first calculator encyclopedia to come out from Nigeria. It is capable of solving over 50,000 calculations and presenting the steps (workings).<\/p>\n

You can access Nickzom Calculator via any of these means:
\nWeb<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a>
\nAndroid (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 access to Nickzom Calculator proceed to the\u00a0Calculator Map,\u00a0<\/strong>click on\u00a0Vector Resultant<\/strong>\u00a0under Physics<\/strong>\u00a0section<\/p>\n

\"How<\/p>\n

Clicking on the Vector Resultant,\u00a0<\/strong>displays the page for you to enter the values for each of the parameters.<\/p>\n

\"How<\/p>\n

Now, enter the values<\/strong> of the parameters: P = 30, Q = 40 and \u03b8 = 50<\/p>\n

\"How<\/p>\n

Now, click on Calculate<\/strong><\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

That’s it! Easy and straightforward.<\/p>\n","protected":false},"excerpt":{"rendered":"According to Math Warehouse, the resultant vector is the vector that ‘results’ from adding two or more vectors…","protected":false},"author":1,"featured_media":11891,"comment_status":"closed","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":[84,279,278,87,59,277,276,280],"class_list":["post-793","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-calculator-encyclopedia","tag-inclination-angle","tag-magnitude","tag-nickzom-calculator","tag-physics","tag-resultant","tag-vector","tag-vector-resultant","cs-entry"],"yoast_head":"\nHow to Calculate the Resultant of Two Vectors (Physics)<\/title>\n<meta name=\"description\" content=\"Master vector analysis in physics with ease! 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