{"id":9959,"date":"2023-03-19T20:11:16","date_gmt":"2023-03-19T19:11:16","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=9959"},"modified":"2024-06-19T21:11:19","modified_gmt":"2024-06-19T20:11:19","slug":"how-to-convert-spherical-to-cartesian-coordinate-units","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/03\/19\/how-to-convert-spherical-to-cartesian-coordinate-units\/","title":{"rendered":"How to Convert Spherical to Cartesian | Coordinate Units"},"content":{"rendered":"

To convert spherical to cartesian, three essential parameters are needed: the Value of r, the Value of \u03b8, <\/strong>and the Value of \u03c6<\/strong>.<\/strong><\/p>\n

The formula for converting spherical to cartesian (x, y, z):<\/strong><\/h3>\n

x = rsin\u03b8cos\u03c6<\/p>\n

y = rsin\u03b8sin\u03c6<\/p>\n

z = rcos\u03b8<\/p>\n

Let’s solve an example;
\nFind the conversion of spherical to cartesian when the value of r is 2, the value of \u03b8 is 8 and the value of \u03c6 is 4.<\/p>\n

This implies that;<\/p>\n

Value of r = 2
\nValue of \u03b8 = 8
\nAnd then, Value of \u03c6 = 4<\/p>\n

Finding x:<\/p>\n

x = 2 x sin(8\u00b0) x cos(4\u00b0)
\nThat is, x = 2 x 0.139 x 0.997
\nx = 0.277<\/p>\n

Therefore,\u00a0x\u00a0<\/strong>is\u00a00.277.<\/strong><\/p>\n

Finding y:<\/p>\n

y = 2 x sin(8\u00b0) x sin(4\u00b0)
\nSo, y = 2 x 0.139 x 0.069
\ny = 0.019<\/p>\n

Therefore,\u00a0y\u00a0<\/strong>is\u00a00.0019.<\/strong><\/p>\n

Finding z:<\/p>\n

z = 2 x cos(8\u00b0)
\nThat is, z = 2 x 0.9902680687415704
\nz = 1.98<\/p>\n

Therefore,\u00a0z <\/strong>is 1.98.<\/strong><\/p>\n

Therefore, the Cartesian coordinates of the spherical coordinates (2, 8\u00b0, 4\u00b0)<\/strong> is (0.27, 0.019, 1.98).<\/strong><\/p>\n

Read more:\u00a0How to Convert Cartesian to Spherical | Coordinate Units<\/a><\/p>\n

How to Convert Spherical to Cartesian With Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013 The Calculator Encyclopedia is capable of converting spherical to cartesian.<\/p>\n

\n

To get the answer and workings of spherical to cartesian using the Nickzom Calculator \u2013 The Calculator Encyclopedia. First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0version via web, you need to\u00a0register\u00a0and\u00a0subscribe\u00a0to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)\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 Calculator Map, then click on Coordinate Units <\/b>under Switches.<\/strong><\/p>\n<\/div>\n

\"\"<\/p>\n

Now, Click on Spherical to Cartesian\u00a0<\/strong>under\u00a0Coordinate Units<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the conversion of spherical to cartesian according to the respective parameters which are the Value of r, the Value of \u03b8, <\/strong>and the Value of \u03c6<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Value of r<\/strong> is 2<\/strong>, the Value of \u03b8<\/strong> is 8<\/strong>, and the Value of \u03c6 <\/strong>is 4<\/strong>.<\/strong><\/p>\n

\"\"<\/p>\n

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

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

As you can see from the screenshot above, Nickzom Calculator\u2013 The Calculator Encyclopedia solves the conversion of spherical to cartesian and presents the formula, workings, and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"To convert spherical to cartesian, three essential parameters are needed: the Value of r, the Value of \u03b8,…","protected":false},"author":5,"featured_media":17500,"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":[119],"tags":[2488,2490,2491,2467,745,2494,2493],"class_list":["post-9959","post","type-post","status-publish","format-standard","has-post-thumbnail","category-unit-conversions","tag-cartesian","tag-coordinate-units","tag-spherical","tag-units-conversions","tag-value-of-r","tag-value-of-","cs-entry"],"yoast_head":"\nHow to Convert Spherical to Cartesian | Coordinate Units<\/title>\n<meta name=\"description\" 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