{"id":159708,"date":"2023-09-16T12:40:41","date_gmt":"2023-09-16T07:10:41","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=159708"},"modified":"2023-09-16T12:40:43","modified_gmt":"2023-09-16T07:10:43","slug":"a-150-model-of-a-spillway-is-to-be-tested-in-the-laboratory","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/a-150-model-of-a-spillway-is-to-be-tested-in-the-laboratory\/","title":{"rendered":"A 1:50 model of a spillway is to be tested in the laboratory"},"content":{"rendered":"\n<p><div style=\"text-align: start;\"><span style=\"font-size:12.0pt;mso-font-width:99%\">Q.  <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: 0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">spillway is 1000 m<\/span><sup style=\"color: var(--contrast); text-align: justify; background-color: var(--base-3);\">3<\/sup><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">\/s. The corresponding discharge (in m<\/span><sup style=\"color: var(--contrast); text-align: justify; background-color: var(--base-3);\">3<\/sup><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">\/s, up to two decimal places) to<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: 0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">be<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.1pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">maintained<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">in the<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.1pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">model,<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">neglecting<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.15pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">variation<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">in<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">acceleration due<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.1pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">to<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: 0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">gravity,<\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3); letter-spacing: -0.05pt;\"> <\/span><span style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">is <\/span><u style=\"color: var(--contrast); font-size: 12pt; text-align: justify; background-color: var(--base-3);\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/u><span style=\"font-size: inherit; background-color: var(--base-3); color: var(--contrast);\"> <\/span><\/div><\/p>\n\n\n\n<p>Ans: 0.05 &#8211; 0.06<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Given: Discharge in prototype, QP = 1000 m3\/sec, Lr = 50 <\/p>\n\n\n\n<p>Froude number of models = Froude number of prototypes<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"389\" height=\"289\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/image-58.png\" alt=\"\" class=\"wp-image-159710\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/image-58.png 389w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/image-58-300x223.png 300w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. A 1:50 model of a spillway is to be tested in the laboratory. The discharge in the prototype spillway is 1000 m3\/s. The corresponding discharge (in m3\/s, up to two decimal places) to be maintained in the model, neglecting variation in acceleration due to gravity, is \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ans: 0.05 &#8211; 0.06 Sol: Given: Discharge [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":159715,"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-159708","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\/159708","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=159708"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159708\/revisions"}],"predecessor-version":[{"id":159716,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/159708\/revisions\/159716"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/159715"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=159708"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=159708"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=159708"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}