{"id":2083,"date":"2018-05-27T14:04:02","date_gmt":"2018-05-27T12:04:02","guid":{"rendered":"http:\/\/www.inst-sim.com\/1\/?p=2083"},"modified":"2018-05-27T14:04:15","modified_gmt":"2018-05-27T12:04:15","slug":"ring-manometer2","status":"publish","type":"post","link":"https:\/\/www.inst-sim.com\/1\/mix_boks\/ring-manometer2\/","title":{"rendered":"\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0627\u0646\u0648\u0645\u062a\u0631 \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a \u0627\u0644\u062f\u0627\u0626\u0631\u064a Ring Differential Manometer Equations"},"content":{"rendered":"<p dir=\"ltr\" style=\"text-align: justify;\">In the equations below <em>p<\/em><em><sub>1<\/sub><\/em> represents the high pressure, <em>p<\/em><em><sub>2<\/sub><\/em> the low pressure, <em>A<\/em> the cross-sectional area of the tube, <em>r<\/em><em><sub>1<\/sub><\/em> the mean radius of the ring, <em>m<\/em> the mass attached to the bottom of the ring, <em>r<\/em><em><sub>2<\/sub><\/em> the radius of the point of application of the mass, \u019f the angle of rotation, and <em>g<\/em> is the acceleration constant of gravity. The rotating moment is:<\/p>\n<p>*<\/p>\n<p>\u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0627\u0644\u064a\u0629 <span style=\"color: #0000ff;\"><em>p<\/em><em><sub>1<\/sub><\/em><\/span> \u064a\u0645\u062b\u0644 \u0627\u0644\u0636\u063a\u0637 \u0627\u0644\u0639\u0627\u0644\u064a <span style=\"color: #0000ff;\">High Pressure<\/span> \u060c \u0648 <span style=\"color: #0000ff;\"><em>p<\/em><em><sub>2<\/sub><\/em><\/span> \u064a\u0645\u062b\u0644 \u0627\u0644\u0636\u063a\u0637 \u0627\u0644\u0645\u0646\u062e\u0641\u0636 <span style=\"color: #0000ff;\">Low Pressure<\/span> \u060c \u0648 A \u0645\u0633\u0627\u062d\u0629 \u0645\u0642\u0637\u0639 \u0627\u0644\u0623\u0646\u0628\u0648\u0628 Cross-Sectional Area \u060c \u0648 <em>r<\/em><em><sub>1<\/sub><\/em> \u0646\u0635\u0641 \u0642\u0637\u0631 \u0627\u0644\u062d\u0644\u0642\u0629 Radius \u060c\u0648 <em>m<\/em> \u0627\u0644\u0643\u062a\u0644\u0629 Mass \u0627\u0644\u0645\u062b\u0628\u062a\u0629 \u0623\u0633\u0641\u0644 \u0627\u0644\u062d\u0644\u0642\u0629 \u060c \u0648 <em>r<\/em><em><sub>2<\/sub><\/em> \u0646\u0635\u0641 \u0627\u0644\u0642\u0637\u0631 \u062d\u062a\u064a \u0645\u0646\u0635\u0641 \u0627\u0644\u0643\u062a\u0644\u0629 \u060c \u0648 \u019f \u0632\u0627\u0648\u064a\u0629 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 Angle of Rotation \u060c \u0648 <em>g<\/em> \u062b\u0627\u0628\u062a \u0639\u062c\u0644\u0629 \u0627\u0644\u062c\u0627\u0630\u0628\u064a\u0629 .<\/p>\n<p>\u0641\u064a\u0643\u0648\u0646 \u0639\u0632\u0645 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 \u0643\u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-2079 size-full\" src=\"http:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2018\/05\/Ring-Balance-Manometer3.jpg\" alt=\"\" width=\"431\" height=\"443\" srcset=\"https:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2018\/05\/Ring-Balance-Manometer3.jpg 431w, https:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2018\/05\/Ring-Balance-Manometer3-292x300.jpg 292w\" sizes=\"(max-width: 431px) 100vw, 431px\" \/><\/p>\n<p>*<\/p>\n<p dir=\"ltr\"><span style=\"color: #0000ff;\">Rotating Moment<\/span> \u0639\u0632\u0645 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 = (<em>p<\/em><em><sub>1<\/sub><\/em> &#8211; <em>p<\/em><em><sub>2<\/sub><\/em>)<em>Ar<\/em><em><sub>1<\/sub><\/em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8230;&#8230;..(1)<\/p>\n<p dir=\"ltr\"><span style=\"color: #0000ff;\">and Restoring Moment<\/span> \u0648\u0639\u0632\u0645 \u0627\u0644\u0625\u0633\u062a\u0639\u0627\u062f\u0629 = <em>mgr<sub>2<\/sub><\/em> sin \u019f\u00a0\u00a0\u00a0\u00a0 &#8230;&#8230;..(2)<\/p>\n<p dir=\"ltr\"><span style=\"color: #0000ff;\">Therefore<\/span> \u0628\u0627\u0644\u062a\u0627\u0644\u064a<\/p>\n<p dir=\"ltr\">(<em>p<\/em><em><sub>1<\/sub><\/em> &#8211; <em>p<\/em><em><sub>2<\/sub><\/em>)<em>Ar<\/em><em><sub>1<\/sub><\/em> = <em>mgr<\/em><em><sub>2<\/sub><\/em> sin \u019f\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\u00a0\u00a0 &#8230;&#8230;..(3)<\/p>\n<p dir=\"ltr\">Or \u0623\u0648<\/p>\n<p dir=\"ltr\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-2080\" src=\"http:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2018\/05\/Ring-Balance-Manometer4.png\" alt=\"\" width=\"242\" height=\"93\" \/>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0 &#8230;&#8230;..(4)<\/p>\n<p>*<\/p>\n<table style=\"border-color: #000000;\" border=\"1\" cellspacing=\"20\">\n<tbody>\n<tr>\n<td><strong>\u0627\u0644\u062a\u0627\u0644\u064a<\/strong><\/td>\n<td><a href=\"http:\/\/www.inst-sim.com\/1\/pressure\/ring-manometer\/\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\"><strong>1<\/strong><\/span><\/a><\/td>\n<td><strong>2<\/strong><\/td>\n<td><a href=\"http:\/\/www.inst-sim.com\/1\/pressure\/ring-manometer\/\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\"><strong>\u0627\u0644\u0633\u0627\u0628\u0642<\/strong><\/span><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>*<\/p>\n<p style=\"text-align: center;\">\u0627\u0636\u063a\u0637 \u0647\u0646\u0627 \u0644\u062a\u062a\u0627\u0628\u0639 \u0635\u0641\u062d\u062a\u0646\u0627 \u0639\u0644\u064a \u0627\u0644\u0641\u064a\u0633 \u0628\u0648\u0643<a href=\"https:\/\/www.facebook.com\/Instruments-Simulation-987927711244444\/\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-2022\" src=\"http:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2018\/04\/Inst-Sim-Face-ani-small2.gif\" alt=\"\" width=\"270\" height=\"72\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #ff6600;\"><strong>***************************************************************<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-559\" src=\"http:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2016\/11\/handwave-Yellow.gif\" alt=\"handwave-yellow\" width=\"125\" height=\"70\" \/><\/p>\n<h3><span style=\"color: #ff0000;\"><strong>\u0645\u0648\u0627\u0636\u064a\u0639 \u0630\u0627\u062a \u0635\u0644\u0629<\/strong><\/span><\/h3>\n<h3>\u00a0.<\/h3>\n<ul>\n<li>\n<h3><a href=\"http:\/\/www.inst-sim.com\/1\/pressure\/pressure_principles\/\" target=\"_blank\" rel=\"noopener\">\u0645\u0628\u0627\u062f\u064a \u0642\u064a\u0627\u0633 \u0627\u0644\u0636\u063a\u0637 Principles of Pressure Measurement<\/a><\/h3>\n<p>.<\/li>\n<li>\n<h3><a href=\"http:\/\/www.inst-sim.com\/1\/pressure\/pressure\/\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u0636\u063a\u0637 Pressure<\/a><\/h3>\n<p>.<\/li>\n<li>\n<h3><a href=\"http:\/\/www.inst-sim.com\/1\/level\/tanker-truck-level\/\" target=\"_blank\" rel=\"noopener\">\u0642\u064a\u0627\u0633 \u0627\u0644\u0645\u0646\u0633\u0648\u0628 \u0641\u064a \u0633\u064a\u0627\u0631\u0627\u062a \u0627\u0644\u0646\u0642\u0644 Tanker Truck Level Measurement<\/a><\/h3>\n<p>.<\/li>\n<li>\n<h3><a href=\"http:\/\/www.inst-sim.com\/1\/simulation\/magnetic-level-gauge-2\/\" target=\"_blank\" rel=\"noopener\">\u0645\u062d\u0627\u0643\u0627\u0629 \u2013 \u0627\u0644\u0645\u0628\u064a\u0646 \u0627\u0644\u0645\u063a\u0646\u0627\u0637\u064a\u0633\u064a \u0644\u0644\u0645\u0646\u0633\u0648\u0628 Magnetic Level Gauge<\/a><\/h3>\n<p>.<\/li>\n<\/ul>\n<p style=\"text-align: center;\"><span style=\"color: #ff6600;\"><strong>***************************************************************<\/strong><\/span><\/p>\n<h3><span style=\"color: #ff6600;\"><strong>\u0645\u0644\u0627\u062d\u0638\u0629<\/strong><\/span><\/h3>\n<ul>\n<li>\u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0643 \u0645\u0642\u0627\u0644\u0629 \u062a\u0631\u064a\u062f \u0646\u0634\u0631\u0647\u0627 \u0623\u0648 \u0644\u062f\u064a\u0643 \u062a\u0639\u062f\u064a\u0644 \u0623\u0648 \u0627\u0642\u062a\u0631\u0627\u062d \u062c\u064a\u062f \u060c \u0641\u0645\u0646 \u0641\u0636\u0644\u0643 \u0633\u062c\u0644 \u0627\u0642\u062a\u0631\u0627\u062d\u0643 \u0641\u064a \u062a\u0639\u0644\u064a\u0642 \u0639\u0644\u064a \u0627\u0644\u0645\u0648\u0636\u0648\u0639 .<\/li>\n<li>\u0623\u0648 \u0631\u0627\u0633\u0644\u0646\u0627\u00a0<img loading=\"lazy\" class=\"alignnone size-full wp-image-876\" src=\"http:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2017\/05\/Open-message-ani.gif\" alt=\"\" width=\"28\" height=\"33\" \/> \u0639\u0644\u064a \u0627\u0644\u0628\u0631\u064a\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0644\u0646\u0634\u0631 \u0645\u0642\u0627\u0644 \u062e\u0627\u0635 \u0628\u0643 : <span style=\"color: #0000ff;\">info@inst-sim.com<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #0000ff;\">\u0645\u0643\u062a\u0628\u0629 \u0645\u062d\u0627\u0643\u0627\u0629 \u0627\u0644\u0623\u062c\u0647\u0632\u0629<\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-1327 size-full\" src=\"http:\/\/www.inst-sim.com\/1\/wp-content\/uploads\/2017\/10\/Wish.gif\" alt=\"\" width=\"492\" height=\"98\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the equations below p1 represents the high pressure, p2 the low pressure, A the cross-sectional area of the tube, r1 the mean radius of the ring, m the mass attached to the bottom of the ring, r2 the radius of the point of application of the mass, \u019f the angle of rotation, and g [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":2085,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[15],"tags":[145,31,29,144,146],"_links":{"self":[{"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/posts\/2083"}],"collection":[{"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/comments?post=2083"}],"version-history":[{"count":2,"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/posts\/2083\/revisions"}],"predecessor-version":[{"id":2149,"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/posts\/2083\/revisions\/2149"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/media\/2085"}],"wp:attachment":[{"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/media?parent=2083"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/categories?post=2083"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.inst-sim.com\/1\/wp-json\/wp\/v2\/tags?post=2083"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}