{"id":209633,"date":"2025-04-29T08:25:25","date_gmt":"2025-04-29T08:25:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=209633"},"modified":"2025-04-29T08:25:27","modified_gmt":"2025-04-29T08:25:27","slug":"calculate-the-volume-needed-to-have-a-weight-of-390-lbf","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/04\/29\/calculate-the-volume-needed-to-have-a-weight-of-390-lbf\/","title":{"rendered":"Calculate the volume needed to have a weight of 390 lbf"},"content":{"rendered":"\n<p>Calculate the volume needed to have a weight of 390 lbf.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To calculate the volume needed to have a weight of 390 pounds-force (lbf), we need to consider the density of the material we are working with, since weight is a force that depends on both the mass and the gravitational acceleration acting on it.<\/p>\n\n\n\n<p>The formula for weight is:<\/p>\n\n\n\n<p>[<br>\\text{Weight (W)} = \\text{Mass (m)} \\times \\text{Gravitational acceleration (g)}<br>]<\/p>\n\n\n\n<p>Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Weight (W) is measured in pounds-force (lbf)<\/li>\n\n\n\n<li>Mass (m) is measured in pounds-mass (lbm)<\/li>\n\n\n\n<li>Gravitational acceleration (g) on Earth is approximately ( 32.174 \\, \\text{ft\/s}^2 )<\/li>\n<\/ul>\n\n\n\n<p>But we are interested in the volume required to achieve a specific weight, which depends on the material&#8217;s density. The mass is related to the volume (V) by:<\/p>\n\n\n\n<p>[<br>\\text{Mass (m)} = \\text{Density (\u03c1)} \\times \\text{Volume (V)}<br>]<\/p>\n\n\n\n<p>Thus, to calculate the volume for a given weight, we combine the equations. We first solve for mass from the weight equation:<\/p>\n\n\n\n<p>[<br>\\text{Mass (m)} = \\frac{\\text{Weight (W)}}{g}<br>]<\/p>\n\n\n\n<p>Then substitute this expression for mass into the density-volume equation:<\/p>\n\n\n\n<p>[<br>\\text{Volume (V)} = \\frac{\\text{Mass (m)}}{\\text{Density (\u03c1)}} = \\frac{\\frac{\\text{Weight (W)}}{g}}{\\text{Density (\u03c1)}}<br>]<\/p>\n\n\n\n<p>Now, we will calculate the volume for 390 lbf, but we still need to know the density of the material. Let\u2019s assume the material has a density of 62.4 lbm\/ft\u00b3, which is the density of water (since the density is typically given in pounds-mass per cubic foot for the imperial system). The gravitational acceleration, ( g ), is 32.174 ft\/s\u00b2.<\/p>\n\n\n\n<p>Now, we can plug in the values:<\/p>\n\n\n\n<p>[<br>\\text{Volume (V)} = \\frac{390}{32.174 \\times 62.4}<br>]<\/p>\n\n\n\n<p>Let\u2019s calculate the volume.<\/p>\n\n\n\n<p>The volume needed to achieve a weight of 390 lbf, assuming the material has a density of 62.4 lbm\/ft\u00b3 (like water), is approximately <strong>0.194 cubic feet<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Weight (390 lbf)<\/strong>: The total weight you want to achieve.<\/li>\n\n\n\n<li><strong>Gravitational acceleration (32.174 ft\/s\u00b2)<\/strong>: This is the acceleration due to gravity at Earth&#8217;s surface.<\/li>\n\n\n\n<li><strong>Density (62.4 lbm\/ft\u00b3)<\/strong>: This is the density of the material, in this case, assumed to be water. If you were using a different material, the density would change, and so would the volume required.<\/li>\n<\/ul>\n\n\n\n<p>To find the volume that corresponds to 390 lbf, we first calculate the mass in pounds-mass (lbm) using the formula:<\/p>\n\n\n\n<p>[<br>\\text{Mass (m)} = \\frac{\\text{Weight (W)}}{g}<br>]<\/p>\n\n\n\n<p>This gives us the mass in pounds-mass, which we then convert into volume by dividing by the material&#8217;s density. For the given assumptions, the result is about 0.194 cubic feet.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Calculate the volume needed to have a weight of 390 lbf. The correct answer and explanation is : To calculate the volume needed to have a weight of 390 pounds-force (lbf), we need to consider the density of the material we are working with, since weight is a force that depends on both the mass [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-209633","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/209633","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=209633"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/209633\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=209633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=209633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=209633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}