{"id":704,"date":"2018-12-13T10:06:39","date_gmt":"2018-12-13T09:06:39","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=704"},"modified":"2024-02-13T16:36:13","modified_gmt":"2024-02-13T15:36:13","slug":"how-to-calculate-and-solve-for-linear-expansivity-area-expansivity-and-volume-or-cubic-expansivity","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2018\/12\/13\/how-to-calculate-and-solve-for-linear-expansivity-area-expansivity-and-volume-or-cubic-expansivity\/","title":{"rendered":"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity"},"content":{"rendered":"<p>Linear expansivity, area expansivity and volume or cubic expansivity are all parameters that are being governed by <strong>heat energy<\/strong>. All three parameters are dependent on temperature rise which is primarily in <strong>Celsius<\/strong> unit of temperature.<\/p>\n<p>Linear expansivity additionally depends on the original length and final length, area expansivity additionally depends on the original area and final area and lastly, cubic or volume expansivity depends on the original volume and final volume.<\/p>\n<p>The formula for calculating <strong>linear expansivity\u00a0<\/strong>is <sup>(l<sub>2<\/sub> &#8211; l<sub>1<\/sub>)<\/sup> \/ <sub>l<sub>1<\/sub>\u03b8<\/sub><br \/>\nl<sub>2<\/sub> represents the final length.<br \/>\nl<sub>1<\/sub> represents the original length.<br \/>\n\u03b8 represents the temperature rise in Celsius.<\/p>\n<p>The formula for calculating <strong>area expansivity<\/strong> is <sup>(A<sub>2<\/sub> &#8211; A<sub>1<\/sub>)<\/sup> \/ <sub>A<sub>1<\/sub>\u03b8<\/sub><br \/>\nA<sub>2<\/sub> represents the final area.<br \/>\nA<sub>1<\/sub> represents the original area.<br \/>\n\u03b8 represents the temperature rise in Celsius.<\/p>\n<p>The formula for calculating <strong>volume or cubic expansivity<\/strong> is <sup>(V<sub>2<\/sub> &#8211; V<sub>1<\/sub>)<\/sup> \/ <sub>V<sub>1<\/sub>\u03b8<\/sub><br \/>\nV<sub>2<\/sub> represents the final volume.<br \/>\nV<sub>1<\/sub> represents the original volume.<br \/>\n\u03b8 represents the temperature rise in Celsius.<\/p>\n<p><!--more--><\/p>\n<p>Let&#8217;s solve <strong>three<\/strong> examples on linear expansivity, area expansivity and volume or cubic expansivity respectively. The Calculator Encyclopedia (Nickzom Calculator) is capable of solving for these parameters showing the formula workings and answer accurately.<\/p>\n<h3>Access Nickzom Calculator to Solve Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity<\/h3>\n<p>First and Foremost, one needs to have access to Nickzom Calculator via any of these means:<\/p>\n<ul>\n<li>Web \u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/li>\n<li>Android (Paid) \u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><\/li>\n<li>Apple (Paid) \u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><\/li>\n<\/ul>\n<p>Then, proceed to the <strong>Calculator Map<\/strong>, click on <strong>Heat Energy<\/strong> under the <strong>Physics<\/strong> section<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-705 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-359-1024x576.png\" alt=\"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-359-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-359-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-359-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-359.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><strong>Example 1:<\/strong><\/p>\n<p>Find the <strong>linear expansivity (\u03b1)<\/strong> of a metal where its original length is 8 cm and its final length is 12 cm after undergoing a rise in temperature of 20\u00b0C.<\/p>\n<p>\u03b1 = <sup>(l<sub>2<\/sub> &#8211; l<sub>1<\/sub>)<\/sup> \/ <sub>l<sub>1<\/sub>\u03b8<\/sub><br \/>\nWhere:<br \/>\nl<sub>2<\/sub> (Final Length) = 12 cm<br \/>\nl<sub>1<\/sub> (Original Length) = 8 cm<br \/>\n\u03b8 (Temperature Rise) = 20\u00b0C<\/p>\n<p>Therefore,<\/p>\n<p>\u03b1 = <sup>(12 &#8211; 8)<\/sup> \/ <sub>8(20)<\/sub> 1\/\u00b0C<br \/>\n\u03b1 = <sup>4<\/sup> \/ <sub>160<\/sub> 1\/\u00b0C<br \/>\nThen, \u03b1 = 0.025 1\/\u00b0C<\/p>\n<p>Using <strong>Nickzom Calculator,\u00a0<\/strong>click on Linear Expansivity,<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-706 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-360-1024x576.png\" alt=\"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-360-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-360-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-360-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-360.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Then, enter your values appropriately and accurately<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-709 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-363-1024x576.png\" alt=\"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-363-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-363-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-363-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-363.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Lastly, click on the <strong>Calculate<\/strong> Button<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-710 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-364-1024x576.png\" alt=\"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-364-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-364-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-364-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-364.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-711\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-365-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-365-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-365-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-365-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-365.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><strong>Example 2:<\/strong><\/p>\n<p>Find the <strong>area expansivity (\u03b2)<\/strong> of a metal where its original area is 12 cm\u00b2 and its final length is 20 cm\u00b2 after undergoing a rise in temperature of 30\u00b0C.<\/p>\n<p>\u03b2 = <sup>(A<sub>2<\/sub> &#8211; A<sub>1<\/sub>)<\/sup> \/ <sub>A<sub>1<\/sub>\u03b8<\/sub><br \/>\nWhere:<br \/>\nA<sub>2<\/sub> (Final Area) = 20 cm\u00b2<br \/>\nA<sub>1<\/sub> (Original Area) = 12 cm\u00b2<br \/>\n\u03b8 (Temperature Rise) = 30\u00b0C<\/p>\n<p>Therefore,<\/p>\n<p>\u03b2 = <sup>(20 &#8211; 12)<\/sup> \/ <sub>12(30)<\/sub> 1\/\u00b0C<br \/>\n\u03b2 = <sup>8<\/sup> \/ <sub>360<\/sub> 1\/\u00b0C<br \/>\nThat is, \u03b2 = 0.02222 1\/\u00b0C<\/p>\n<p>Using <strong>Nickzom Calculator,\u00a0<\/strong>click on Area Expansivity,<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-707\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><img decoding=\"async\" class=\"alignnone size-large wp-image-707\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-361.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Then, enter your values appropriately and accurately<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-712\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-366-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-366-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-366-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-366-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-366.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Lastly, click on the <strong>Calculate<\/strong> Button<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-713\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-367-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-367-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-367-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-367-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-367.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-714\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-368-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-368-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-368-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-368-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-368.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><strong>Example 3:<\/strong><\/p>\n<p>Find the <strong>volume or cubic expansivity (\u03b3)<\/strong> of a metal where its original volume is 18 cm\u00b3 and its final length is 30 cm\u00b3 after undergoing a rise in temperature of 50\u00b0C.<\/p>\n<p>\u03b3 = <sup>(V<sub>2<\/sub> &#8211; V<sub>1<\/sub>)<\/sup> \/ <sub>V<sub>1<\/sub>\u03b8<\/sub><br \/>\nWhere:<br \/>\nV<sub>2<\/sub> (Final Volume) = 18 cm\u00b3<br \/>\nV<sub>1<\/sub> (Original Volume) = 30 cm\u00b3<br \/>\n\u03b8 (Temperature Rise) = 50\u00b0C<\/p>\n<p>Therefore,<\/p>\n<p>\u03b3 = <sup>(30 &#8211; 18)<\/sup> \/ <sub>18(50)<\/sub> 1\/\u00b0C<br \/>\n\u03b3 = <sup>12<\/sup> \/ <sub>900<\/sub> 1\/\u00b0C<br \/>\nTherefore, \u03b3 = 0.01333 1\/\u00b0C<\/p>\n<p>Using <strong>Nickzom Calculator,\u00a0<\/strong>click on Volume or Cubic Expansivity,<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-708\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-362-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-362-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-362-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-362-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-362.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p>Then, enter your values appropriately and accurately<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-715 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-369-1024x576.png\" alt=\"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-369-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-369-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-369-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-369.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Lastly, click on the <strong>Calculate<\/strong> Button<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-717 size-large\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-370-1024x576.png\" alt=\"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity\" width=\"800\" height=\"450\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-370-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-370-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-370-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-370.png 1366w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><img decoding=\"async\" class=\"alignnone size-large wp-image-718\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-371-1024x576.png\" alt=\"\" width=\"660\" height=\"371\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-371-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-371-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-371-768x432.png 768w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2018\/12\/Screenshot-371.png 1366w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"Linear expansivity, area expansivity and volume or cubic expansivity are all parameters that are being governed by heat&hellip;","protected":false},"author":1,"featured_media":12343,"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":[246,243,84,241,245,169,242,87,59,74,244],"class_list":["post-704","post","type-post","status-publish","format-standard","has-post-thumbnail","category-physics","tag-area","tag-area-expansivity","tag-calculator-encyclopedia","tag-expansivity","tag-heat-energy","tag-length","tag-linear-expansivity","tag-nickzom-calculator","tag-physics","tag-volume","tag-volume-or-cubic-expansivity","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity<\/title>\n<meta name=\"description\" content=\"Master the calculations of linear, area, and volume expansivity. Learn how to solve these key parameters with clear step-by-step guidance.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.nickzom.org\/blog\/2018\/12\/13\/how-to-calculate-and-solve-for-linear-expansivity-area-expansivity-and-volume-or-cubic-expansivity\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Calculate and Solve for Linear Expansivity, Area Expansivity and Volume or Cubic Expansivity\" \/>\n<meta property=\"og:description\" content=\"Master the calculations of linear, area, and volume expansivity. 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