{"id":153983,"date":"2023-08-02T10:17:31","date_gmt":"2023-08-02T04:47:31","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153983"},"modified":"2023-08-02T10:23:38","modified_gmt":"2023-08-02T04:53:38","slug":"for-a-hydraulic-lift-with-dimensions-shown-in-figure-assuming-g-10-m-s-2-the-maximum-diameter-dleft-in-m-that-lifts-a-vehicle-of-mass-1000-kg-using-a-force","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/for-a-hydraulic-lift-with-dimensions-shown-in-figure-assuming-g-10-m-s-2-the-maximum-diameter-dleft-in-m-that-lifts-a-vehicle-of-mass-1000-kg-using-a-force\/","title":{"rendered":"For a hydraulic lift with dimensions shown in figure, assuming g = 10 m\/s 2 , the maximum diameter Dleft (in m) that lifts a vehicle of mass 1000 kg using a force"},"content":{"rendered":"\n<p>Q. For a hydraulic lift with dimensions shown in figure, assuming <em>g <\/em>= 10 m\/s <sup>2<\/sup> , the maximum diameter <em>D<sub>left<\/sub> <\/em>(in m) that lifts a vehicle of mass 1000 kg using a force of 100 N is__________________(rounded off to two decimal places).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-2.png\" alt=\"\" class=\"wp-image-153987\" width=\"246\" height=\"201\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-2.png 313w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/image-2-300x245.png 300w\" sizes=\"(max-width: 246px) 100vw, 246px\" \/><\/figure>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<p>Using pascals principle, pressure on both sides must be equal&nbsp;<\/p>\n\n\n\n<p>pressure = force \/ area<\/p>\n\n\n\n<p>Force_left = 100N<\/p>\n\n\n\n<p>Area_left = pi\/4 * d_left * d_left<\/p>\n\n\n\n<p>Force_right = mass * gravity = 1000 * 10 = 10000N<\/p>\n\n\n\n<p>Area_left = pi\/4 * d_right * d_right = pi\/4 * 2 *2&nbsp;<\/p>\n\n\n\n<p>Equating pressure on both sides<\/p>\n\n\n\n<p>pressure_left =pressure_right<\/p>\n\n\n\n<p>force_left\/area_left = force_right\/area_right<\/p>\n\n\n\n<p>100\/(pi\/4 * d_left *d_left) = 10000\/(pi\/4 * 2 *2)<\/p>\n\n\n\n<p>1\/(d_left * d_left) = 100\/ (2*2)<\/p>\n\n\n\n<p>Which solves to&nbsp;<\/p>\n\n\n\n<p>D_left = 0.2 m<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. For a hydraulic lift with dimensions shown in figure, assuming g = 10 m\/s 2 , the maximum diameter Dleft (in m) that lifts a vehicle of mass 1000 kg using a force of 100 N is__________________(rounded off to two decimal places). Solution: Using pascals principle, pressure on both sides must be equal&nbsp; pressure [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153984,"comment_status":"open","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-4)","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-4)","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-4)","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":[5141],"tags":[5140],"class_list":["post-153983","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153983","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153983"}],"version-history":[{"count":2,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153983\/revisions"}],"predecessor-version":[{"id":153988,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153983\/revisions\/153988"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153984"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153983"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153983"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}