{"id":29162,"date":"2021-03-22T13:00:05","date_gmt":"2021-03-22T13:00:05","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=29162"},"modified":"2024-09-22T11:56:20","modified_gmt":"2024-09-22T11:56:20","slug":"%e9%9d%99%e6%ad%a2%e6%b5%81%e4%bd%93%e7%9a%84%e5%8e%8b%e5%8a%9b","status":"publish","type":"post","link":"https:\/\/toposuranos.com\/material\/zh\/%e9%9d%99%e6%ad%a2%e6%b5%81%e4%bd%93%e7%9a%84%e5%8e%8b%e5%8a%9b\/","title":{"rendered":"\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b"},"content":{"rendered":"<p><center><\/p>\n<h1>\u6d41\u4f53\u7684\u538b\u529b<\/h1>\n<p style=\"text-align:center;\"><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\n\u672c\u8282\u8bfe\u5c06\u91cd\u70b9\u4ecb\u7ecd\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b\u6982\u5ff5\u4ee5\u53ca\u5b83\u5982\u4f55\u968f\u6df1\u5ea6\u53d8\u5316\u3002\u6211\u4eec\u5c06\u5b66\u4e60\u6d41\u4f53\u67d0\u70b9\u7684\u538b\u529b\u76f4\u63a5\u53d6\u51b3\u4e8e\u5176\u5bc6\u5ea6\u3001\u91cd\u529b\u548c\u6df1\u5ea6\u3002<br \/>\n<\/em><br \/>\n<strong>\u5b66\u4e60\u76ee\u6807\uff1a<\/strong><br \/>\n\u8bfe\u7a0b\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u7406\u89e3<\/strong>\u6d41\u4f53\u538b\u529b\u4e0e\u5bc6\u5ea6\u3001\u91cd\u529b\u548c\u6df1\u5ea6\u7b49\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u516c\u5f0f P = \u03c1gh \u6765\u8ba1\u7b97\u9759\u6b62\u6d41\u4f53\u4e2d\u7684\u538b\u529b\u3002<\/li>\n<li><strong>\u89e3\u91ca<\/strong>\u8868\u538b\u3001\u5927\u6c14\u538b\u548c\u7edd\u5bf9\u538b\u529b\u4e4b\u95f4\u7684\u533a\u522b\u3002<\/li>\n<\/ol>\n<p><strong>\u5185\u5bb9\u76ee\u5f55<\/strong><br \/>\n<a href=\"#1\">\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b<\/a><br \/>\n<a href=\"#1\">\u76f8\u5bf9\u538b\u529b<\/a><br \/>\n<a href=\"#1\">\u5b9e\u9645\u4f8b\u5b50<\/a>\n<\/p>\n<p><\/center><br \/>\n<center><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/Qt4mdRDEc44\" title=\"YouTube\u89c6\u9891\u64ad\u653e\u5668\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><br \/>\n<a name=\"1\"><\/a><\/p>\n<h2>\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Qt4mdRDEc44&amp;t=105s\" target=\"_blank\" rel=\"noopener\"><strong>\u6211\u4eec\u5bf9\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b\u4e86\u89e3\u591a\u5c11\uff1f<\/strong><\/a> \u6211\u4eec\u77e5\u9053\uff0c\u5982\u679c\u5c06\u5176\u7f6e\u4e8e\u67d0\u4e2a\u5bb9\u5668\u4e2d\uff0c\u7531\u4e8e\u6ee1\u8db3\u5173\u7cfb\u5f0f<span class=\"katex-eq\" data-katex-display=\"false\">P=F\/A,<\/span>\u5e76\u4e14\u7531\u4e8e\u5176\u91cd\u91cf\uff0c\u6d41\u4f53\u5185\u90e8\u7684\u6bcf\u4e2a\u70b9\u90fd\u4f1a\u6839\u636e\u6df1\u5ea6\u4ea7\u751f\u538b\u529b\u3002<\/p>\n<p style=\"text-align: justify;\"><strong>\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b<\/strong> \u5728\u67d0\u4e2a\u70b9\u4e0e\u6df1\u5ea6\u6210\u6b63\u6bd4\u3002\u6211\u4eec\u77e5\u9053\u8be5\u8868\u8fbe\u5f0f\u4e3a\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P = \\rho g h<\/span>\n<p style=\"text-align: justify;\">\u5176\u4e2d<span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span> \u662f\u6d41\u4f53\u7684\u5bc6\u5ea6\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">g<\/span> \u662f\u91cd\u529b\u52a0\u901f\u5ea6\uff0c<span class=\"katex-eq\" data-katex-display=\"false\">h<\/span> \u662f\u6df1\u5ea6\u3002<\/p>\n<p><center><\/center><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-M64DeuX1K_8\/YGDR2Dr6MLI\/AAAAAAAAEvU\/dsWvpC_qUaUqXYxIY_kdFz_RegsAQ8jNQCLcBGAsYHQ\/s0\/presionProfundidad.PNG\" alt=\"\u538b\u529b\u6df1\u5ea6\" class=\"alignnone size-full lazyload\" width=\"360\" height=\"380\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-M64DeuX1K_8\/YGDR2Dr6MLI\/AAAAAAAAEvU\/dsWvpC_qUaUqXYxIY_kdFz_RegsAQ8jNQCLcBGAsYHQ\/s0\/presionProfundidad.PNG\" alt=\"\u538b\u529b\u6df1\u5ea6\" class=\"alignnone size-full lazyload\" width=\"360\" height=\"380\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify;\">\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5728\u6d41\u4f53\u4e2d\u67d0\u4e2a\u6df1\u5ea6<span class=\"katex-eq\" data-katex-display=\"false\">h<\/span>\u5904\u6c89\u5165\u4e00\u4e2a\u6c34\u5e73\u653e\u7f6e\u7684\u865a\u62df\u67f1\u4f53\uff0c\u5176\u5e95\u9762\u79ef\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span> \u6765\u8bc1\u660e\u8fd9\u4e00\u70b9\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-4xXHikobfLg\/YGDR2CIDEWI\/AAAAAAAAEvQ\/vMap5iq_jHoL_vHicMEvWiOJbP_CX3pNACLcBGAsYHQ\/s0\/FuerzaProfundidad.PNG\" alt=\"\u538b\u529b\u6df1\u5ea6\" class=\"alignnone size-full lazyload\" width=\"364\" height=\"448\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-4xXHikobfLg\/YGDR2CIDEWI\/AAAAAAAAEvQ\/vMap5iq_jHoL_vHicMEvWiOJbP_CX3pNACLcBGAsYHQ\/s0\/FuerzaProfundidad.PNG\" alt=\"\u538b\u529b\u6df1\u5ea6\" class=\"alignnone size-full lazyload\" width=\"364\" height=\"448\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify;\">\u6211\u4eec\u5c06\u770b\u5230\u8be5\u5706\u76d8\u4f1a\u88ab\u5176\u4e0a\u65b9\u6d41\u4f53\u7684\u91cd\u91cf\u538b\u7f29\uff0c\u800c\u5e95\u90e8\u5219\u4f1a\u53d7\u5230\u4e0e\u91cd\u91cf\u76f8\u7b49\u4e14\u76f8\u53cd\u7684\u6cd5\u5411\u529b\uff08\u56e0\u4e3a\u6211\u4eec\u5047\u8bbe\u7cfb\u7edf\u5904\u4e8e\u9759\u6b62\u72b6\u6001\uff09\u3002<\/p>\n<h4>\u9759\u6b62\u6d41\u4f53\u538b\u529b\u516c\u5f0f\u7684\u63a8\u5bfc: <span class=\"katex-eq\" data-katex-display=\"false\">{P=\\rho g h}<\/span><\/h4>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Qt4mdRDEc44&amp;t=195s\" target=\"_blank\" rel=\"noopener\">\u6d41\u4f53\u5728\u88ab\u6d78\u6ca1\u7684\u7269\u4f53\u4e0a\u65b9<\/a>\u5f62\u6210\u53e6\u4e00\u4e2a\u5e95\u9762\u79ef\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">A<\/span>\u3001\u9ad8\u5ea6\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">h<\/span>\u7684\u67f1\u4f53\uff0c\u56e0\u800c\u5f62\u6210\u4e86\u4e00\u4e2a\u4f53\u79ef\u3002<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">V=A h<\/span>\n<p style=\"text-align: justify;\">\u7531\u6b64\u6211\u4eec\u63a8\u65ad\u51fa<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle A=\\frac{V}{h}<\/span>\n<p style=\"text-align: justify;\">\u5982\u679c\u6d41\u4f53\u7684\u5bc6\u5ea6\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span>\uff0c\u5219\u538b\u5728\u5706\u76d8\u4e0a\u7684\u6d41\u4f53\u8d28\u91cf\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">m=\\rho V<\/span>\uff0c\u56e0\u6b64\u4ea7\u751f\u91cd\u91cf\u529b<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F_p=m g = \\rho V g<\/span>\n<p style=\"text-align: justify;\">\u540c\u6837\uff0c\u6cd5\u5411\u529b\u4f5c\u7528\u5728\u67f1\u4f53\u7684\u4e0b\u8868\u9762\uff0c\u5927\u5c0f\u76f8\u540c\uff0c\u4f46\u4f5c\u7528\u5728\u76f8\u5bf9\u8868\u9762\u3002<\/p>\n<p style=\"text-align: justify;\">\u7531\u4e8e\u91cd\u91cf\u548c\u6cd5\u5411\u529b\u662f\u5782\u76f4\u7684\uff0c\u56e0\u6b64\u5b83\u4eec\u4e0d\u4f1a\u5bf9\u67f1\u4f53\u7684\u4fa7\u9762\u65bd\u52a0\u538b\u529b\u3002<\/p>\n<p style=\"text-align: justify;\">\u5982\u679c\u6211\u4eec\u8ba4\u4e3a\u67f1\u4f53\u8db3\u591f\u6241\u5e73\u548c\u8f7b\u76c8\uff0c\u90a3\u4e48\u5176\u91cd\u91cf\u4e0d\u4f1a\u4ea7\u751f\u9700\u8981\u7531\u6cd5\u5411\u529b\u5e73\u8861\u7684\u4f5c\u7528\u529b\uff0c\u6b64\u5916\uff0c\u4efb\u4f55\u4fa7\u9762\u7684\u5f71\u54cd\u4e0e\u5176\u4ed6\u529b\u76f8\u6bd4\u90fd\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002\u8fd9\u6837\uff0c\u4f5c\u7528\u5728\u7269\u4f53\u4e0a\u7684\u603b\u529b\u4e3a\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F_{total}=F_p + F_n = 2\\rho V g<\/span>\n<p style=\"text-align: justify;\">\u6b64\u529b\u4e2d\u7684\u201c+\u201d\u662f\u56e0\u4e3a\u529b\u662f\u6307\u5411\u8868\u9762\u7684\u3002<\/p>\n<p style=\"text-align: justify;\">\u56e0\u6b64\uff0c\u4f5c\u7528\u5728\u6d78\u6ca1\u7269\u4f53\u4e0a\u7684\u538b\u529b\u4e3a\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P = \\frac{F_{total}}{A_{inferior}+A_{superior}}=\\frac{2 \\rho V h}{2A} = \\frac{\\rho V g}{\\frac{V}{h}} = \\rho g h<\/span>\n<p style=\"text-align: justify;\">\u901a\u8fc7\u6b64\u63a8\u5bfc\uff0c\u6211\u4eec\u5f97\u77e5\u6d41\u4f53\uff08\u5904\u4e8e\u9759\u6b62\u72b6\u6001\uff09\u7684\u538b\u529b\u5728\u76f8\u540c\u6df1\u5ea6\u7684\u6240\u6709\u70b9\u90fd\u662f\u76f8\u540c\u7684\u3002\u8fd9\u9002\u7528\u4e8e\u6db2\u4f53\u548c\u6c14\u4f53\uff08\u53ea\u8981\u5b83\u4eec\u5904\u4e8e\u9759\u6b62\u72b6\u6001\uff09\uff0c\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u8003\u8651\u4e0a\u65b9\u7684\u5927\u6c14\u67f1\uff0c\u6211\u4eec\u4e5f\u53ef\u4ee5\u8c08\u8bba\u201c\u5927\u6c14\u538b\u529b\u201d\u3002<\/p>\n<p style=\"text-align: justify;\">\u6d77\u5e73\u9762\u4e0a\u7684\u5927\u6c14\u538b\u4e3a<\/p>\n<p style=\"text-align: justify;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{atm} = 1[atm] = 101.325,0 [Pa] = 760 [Torr]=0.981[barr].<\/span>\n<p>\u6211\u4eec\u5fc5\u987b\u8bb0\u4f4f\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">1[Pa] = 1[N\/m^2].<\/span>\n<p style=\"text-align: justify;\">\u5c06\u5927\u6c14\u538b\u529b\u4e0e\u6d41\u4f53\u7531\u4e8e\u5176\u81ea\u8eab\u91cd\u91cf\u4ea7\u751f\u7684\u538b\u529b\u76f8\u7ed3\u5408\uff0c\u6211\u4eec\u5f97\u5230<strong>\u9759\u6c34\u538b\u529b<\/strong><\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P = P_{atm} + \\rho g h<\/span>\n<p><a name=\"2\"><\/a><\/p>\n<h2>\u76f8\u5bf9\u538b\u529b<\/h2>\n<p style=\"text-align: justify;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Qt4mdRDEc44&amp;t=590s\" target=\"_blank\" rel=\"noopener\"><strong>\u5f53\u6211\u4eec\u6d4b\u91cf\u538b\u529b\u65f6\uff0c\u901a\u5e38\u662f\u5904\u4e8e\u67d0\u79cd\u4ecb\u8d28\u4e2d\u3002<\/strong><\/a> \u6709\u65f6\u4ecb\u8d28\u7684\u538b\u529b\u662f\u76f8\u5173\u7684\uff0c\u6709\u65f6\u5219\u4e0d\u90a3\u4e48\u91cd\u8981\u3002\u4f8b\u5982\uff0c\u5f53\u4f60\u6d4b\u91cf\u6c7d\u8f66\u8f6e\u80ce\u7684\u538b\u529b\u65f6\uff0c\u4f60\u4e0d\u9700\u8981\u62c5\u5fc3\u52a0\u4e0a\u5927\u6c14\u538b\u529b\uff0c\u56e0\u4e3a\u771f\u6b63\u91cd\u8981\u7684\u662f\u8f6e\u80ce\u5185\u5916\u7684\u538b\u529b\u5dee\uff1a<\/p>\n<p style=\"text-align: justify;\"><em>\u5982\u679c\u538b\u529b\u592a\u9ad8\uff0c\u5b83\u4f1a\u81a8\u80c0\u8fc7\u5ea6\uff1b\u5982\u679c\u592a\u4f4e\uff0c\u5b83\u4f1a\u6f0f\u6c14\u3002<\/em><\/p>\n<p style=\"text-align: justify;\">\u8fd9\u5c31\u662f\u6211\u4eec\u4e3a\u4f55\u6709\u591a\u79cd\u63cf\u8ff0\u538b\u529b\u7684\u65b9\u5f0f\u3002<\/p>\n<h3>\u5927\u6c14\u538b\u529b<\/h3>\n<p style=\"text-align: justify;\">\u6211\u4eec\u4e4b\u524d\u5df2\u7ecf\u8ba8\u8bba\u8fc7\uff0c\u5b83\u662f\u6211\u4eec\u6240\u5904\u4ecb\u8d28\u7684\u538b\u529b\u3002\u4f8b\u5982\uff0c\u5728\u559c\u9a6c\u62c9\u96c5\u5c71\u4e0a\uff0c\u5927\u6c14\u538b\u529b\u53ef\u80fd\u4ec5\u4e3a\u6d77\u5e73\u9762\u538b\u529b\u7684\u4e09\u5206\u4e4b\u4e00\u3002\u5b83\u901a\u5e38\u8868\u793a\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">P_{atm}<\/span> \u6216 <span class=\"katex-eq\" data-katex-display=\"false\">P_{0}.<\/span>\n<h3>\u7edd\u5bf9\u538b\u529b<\/h3>\n<p style=\"text-align: justify;\">\u5f53\u6211\u4eec\u8003\u8651\u4f5c\u7528\u5728\u4e00\u4e2a\u7269\u4f53\u4e0a\u7684\u6240\u6709\u529b\u7684\u603b\u548c\u6240\u4ea7\u751f\u7684\u538b\u529b\u65f6\uff0c\u6211\u4eec\u79f0\u4e4b\u4e3a<strong>\u7edd\u5bf9\u538b\u529b\u3002<\/strong> \u6211\u4eec\u4e4b\u524d\u8ba8\u8bba\u7684\u9759\u6c34\u538b\u529b\u662f\u4e00\u79cd\u7edd\u5bf9\u538b\u529b\uff0c\u56e0\u4e3a\u5b83\u8003\u8651\u4e86\u6db2\u4f53\u91cd\u91cf\u7684\u538b\u529b\u4e0e\u5927\u6c14\u538b\u529b\u7684\u603b\u548c\u3002\u7edd\u5bf9\u538b\u529b\u7684\u53e6\u4e00\u79cd\u8868\u8fbe\u65b9\u5f0f\u662f\u201c\u76f8\u5bf9\u4e8e\u771f\u7a7a\u7684\u538b\u529b\u201d\u3002 \u6211\u4eec\u7528 <span class=\"katex-eq\" data-katex-display=\"false\">P_{abs}.<\/span> \u6765\u8868\u793a\u5b83\u3002<\/p>\n<h3>\u8868\u538b\u548c\u771f\u7a7a\u538b\u529b<\/h3>\n<p style=\"text-align: justify;\">\u5f53\u6211\u4eec\u6d4b\u91cf\u8f66\u8f86\u8f6e\u80ce\u7684\u538b\u529b\u65f6\uff0c\u8f6e\u80ce\u548c\u6d4b\u91cf\u4eea\u5668\u90fd\u53d7\u5230\u5468\u56f4\u5927\u6c14\u7684\u538b\u529b\u3002\u56e0\u6b64\uff0c\u4eea\u5668\u5b9e\u9645\u4e0a\u6d4b\u91cf\u7684\u662f\u5185\u5916\u538b\u529b\u5dee\u3002\u8fd9\u79cd\u538b\u529b\u79f0\u4e3a\u201c\u8868\u538b\u201d\uff0c\u7528<span class=\"katex-eq\" data-katex-display=\"false\">P_{man}<\/span> \u8868\u793a\uff0c\u5e76\u6ee1\u8db3\u4ee5\u4e0b\u5173\u7cfb\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{man} = P_{abs} - P_{atm}<\/span>\n<p style=\"text-align: justify;\">\u6211\u4eec\u53ea\u8003\u8651\u6d41\u4f53\u91cd\u91cf\u65f6\u6d4b\u5f97\u7684\u538b\u529b\u662f\u8868\u538b\u7684\u4e00\u4e2a\u4f8b\u5b50\u3002\u5982\u679c\u7edd\u5bf9\u538b\u529b\u5927\u4e8e\u5927\u6c14\u538b\u529b\uff0c\u6211\u4eec\u6d4b\u91cf\u7684\u662f\u8868\u538b\uff0c\u5426\u5219\u6211\u4eec\u6d4b\u91cf\u7684\u662f\u771f\u7a7a\u538b\u529b<span class=\"katex-eq\" data-katex-display=\"false\">P_{vac}<\/span>\uff0c\u5b9a\u4e49\u7c7b\u4f3c\uff1a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{vac} = P_{atm} - P_{abs}<\/span>\n<p style=\"text-align: justify;\">\u8fd9\u53d1\u751f\u5728\u4f60\u4ece\u6ce8\u5c04\u5668\u4e2d\u62bd\u51fa\u7a7a\u6c14\uff0c\u5c01\u4f4f\u7a7a\u6c14\u5165\u53e3\/\u51fa\u53e3\u540e\u518d\u62c9\u52a8\u6d3b\u585e\u65f6\uff1b\u5927\u6c14\u538b\u529b\u4f1a\u8bd5\u56fe\u5c06\u6d3b\u585e\u63a8\u56de\uff0c\u6ce8\u5c04\u5668\u5185\u7684\u538b\u529b\u56e0\u6b64\u4e3a\u771f\u7a7a\u538b\u529b\u3002<\/p>\n<p><a name=\"3\"><\/a><\/p>\n<h2>\u5b9e\u9645\u4f8b\u5b50<\/h2>\n<p style=\"text-align: justify;\">\u4e00\u4f4d\u5148\u751f\u521a\u521a\u5efa\u9020\u4e86\u4e00\u5ea7\u957f39\u82f1\u5c3a\u3001\u5bbd26\u82f1\u5c3a\u3001\u6df15.2\u82f1\u5c3a\u7684\u6e38\u6cf3\u6c60\uff0c\u5e76\u4e14\u6709\u4ee5\u4e0b\u95ee\u9898\uff1a<\/p>\n<ol style=\"text-align: justify;\">\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=Qt4mdRDEc44&amp;t=814s\" target=\"_blank\" rel=\"noopener\"><strong>\u4ed6\u4e70\u4e86\u4e00\u53f0\u6cf3\u6c60\u6cf5\uff0c<\/strong><\/a> \u4f46\u56de\u5bb6\u540e\u624d\u60f3\u5230\u67e5\u770b\u5236\u9020\u5546\u7684\u89c4\u683c\u3002\u8bf4\u660e\u4e2d\u63d0\u5230\uff0c\u6cf5\u7684\u8868\u538b\u4e0d\u80fd\u8d85\u8fc70.193[atm]\u3002\u4ed6\u80fd\u5c06\u6cf5\u5b89\u88c5\u5728\u6cf3\u6c60\u5e95\u90e8\u5417\uff1f<\/li>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=Qt4mdRDEc44&amp;t=1101s\" target=\"_blank\" rel=\"noopener\"><strong>\u4e0d\u4ec5\u4ed6\u5fd8\u4e86\u6cf5\u7684\u89c4\u683c\uff0c<\/strong><\/a>\u8fd9\u4f4d\u5148\u751f\u8fd8\u6709\u542c\u529b\u95ee\u9898\u3002\u4ed6\u7684\u8033\u819c\u4e0d\u80fd\u627f\u53d7\u8d85\u8fc710[N]\u7684\u529b\u3002\u5982\u679c\u4ed6\u7684\u8033\u819c\u76f4\u5f84\u4e3a1[\u5398\u7c73]\uff0c\u51e0\u4e4e\u662f\u5b8c\u7f8e\u7684\u5706\u5f62\u3002 \u8fd9\u4f4d\u5148\u751f\u80fd\u5728\u6cf3\u6c60\u5e95\u90e8\u5b89\u5168\u6f5c\u6c34\u5417\uff1f<\/li>\n<\/ol>\n<p style=\"text-align: justify; color: #0000d0;\"><strong>\u89e3\u51b3\u65b9\u6848\uff1a<\/strong><\/p>\n<ol style=\"text-align: justify;\">\n<li style=\"list-style-type: none;\">\n<ol style=\"text-align: justify;\">\n<li>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u53ef\u4ee5\u786e\u5b9a\u6cf3\u6c60\u5e95\u90e8\u7684\u8868\u538b\u4ec5\u7531\u6c60\u4e2d\u7684\u6c34\u65bd\u52a0\u3002\u56e0\u6b64\uff0c\u4f7f\u7528\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b\u516c\u5f0f\uff0c\u6211\u4eec\u5c06\u5f97\u5230\uff1a\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{man} = \\rho g h<\/span>\n<p>\u53d6\u6c34\u7684\u5bc6\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">\\rho=997[kg\/m^3],<\/span> \u6df1\u5ea6\u8f6c\u6362\u4e3a\u7c73 <span class=\"katex-eq\" data-katex-display=\"false\">h=5.2[\u82f1\u5c3a] = 5.2\\cdot 0.3048[m]<\/span>\uff0c\u91cd\u529b\u52a0\u901f\u5ea6<span class=\"katex-eq\" data-katex-display=\"false\">g=9.81[m\/s^2],<\/span> \u6211\u4eec\u5f97\u51fa\u6cf3\u6c60\u5e95\u90e8\u7684\u8868\u538b\u4e3a<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{man} =997[kg\/m^3]\\cdot 9.81[m\/s^2] \\cdot5.2\\cdot 0.3048[m] \\approx 15.501,81[Pa]<\/span>\n<p>\u4f46<span class=\"katex-eq\" data-katex-display=\"false\">1[atm] = 101.325[Pa]<\/span>\uff0c\u56e0\u6b64<\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle P_{man} \\approx \\frac{15.501,81}{101.325}[atm]\\approx 0.1523[atm]<\/span>\n<p>\u6240\u4ee5\u53ef\u4ee5\u3002\u56e0\u4e3a\u6cf3\u6c60\u5e95\u90e8\u7684\u8868\u538b\u4f4e\u4e8e\u5236\u9020\u5546\u89c4\u5b9a\u7684<span class=\"katex-eq\" data-katex-display=\"false\">0,193[atm]<\/span> \u6cf5\u7684\u64cd\u4f5c\u4e0a\u9650\uff0c\u56e0\u6b64\u6cf5\u5c06\u6b63\u5e38\u5de5\u4f5c\uff0c\u5148\u751f\u6ca1\u6709\u6d6a\u8d39\u94b1\u3002<\/li>\n<li>\u5728\u524d\u4e00\u90e8\u5206\u4e2d\uff0c\u6211\u4eec\u5df2\u7ecf\u8ba1\u7b97\u4e86\u6cf3\u6c60\u5e95\u90e8\u7684\u8868\u538b\uff0c\u4f46\u73b0\u5728\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u603b\u538b\u3002\u6ca1\u95ee\u9898\uff0c\u53ea\u9700\u8981\u8bb0\u4f4f\uff1a<\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{total} = P_{man} + P_{atm}<\/span>\n<p><span>\u6211\u4eec\u5df2\u7ecf\u6709\u4e86\u4e24\u8005\u3002\u8fd9\u7ed9\u6211\u4eec\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{total} \\approx 15.501,81[Pa] + 101.325[Pa] = 116.286,81[Pa]<\/span>\n<p><span>\u73b0\u5728\u6211\u4eec\u9700\u8981\u77e5\u9053\u8fd9\u4f4d\u5148\u751f\u8033\u819c\u7684\u9762\u79ef\u3002\u56e0\u4e3a\u8033\u819c\u5927\u81f4\u4e3a\u5706\u5f62\uff0c\u6240\u4ee5\u6211\u4eec\u6709\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle A = \\pi r^2 = \\pi \\left(\\frac{d}{2}\\right)^2 = \\frac{\\pi d^2}{4}<\/span>\n<p><span>\u6211\u5df2\u7ecf\u5c06\u5706\u7684\u9762\u79ef\u8868\u793a\u4e3a\u76f4\u5f84<span class=\"katex-eq\" data-katex-display=\"false\">d<\/span>\u7684\u51fd\u6570\uff0c\u8be5\u76f4\u5f84\u4e3a<span class=\"katex-eq\" data-katex-display=\"false\">1[\u5398\u7c73]<\/span>\u3002\u56e0\u6b64\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle A \\approx \\frac{3.14 \\cdot 1[cm^2]}{4} = \\frac{3.14 \\left[\\frac{m}{100}\\right]^2}{4} = \\frac{3.14}{4\\cdot 10.000}[m^2]=0.785\\cdot 10^{-4}[m^2]<\/span>\n<p><span>\u6700\u540e\uff0c\u7531\u4e8e<span class=\"katex-eq\" data-katex-display=\"false\">P=F\/A<\/span>\uff0c\u6cf3\u6c60\u5e95\u90e8\u538b\u529b\u4f5c\u7528\u5728\u5148\u751f\u8033\u819c\u4e0a\u7684\u603b\u529b\u5c06\u662f\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"><span class=\"katex-eq\" data-katex-display=\"false\">F=PA\\approx 116.826,81[Pa] \\cdot 0.785\\cdot 10^{-4}[m^2] \\approx 9.17[N]<\/span>\n<p><span>\u7531\u4e8e\u6ca1\u6709\u8d85\u8fc7<span class=\"katex-eq\" data-katex-display=\"false\">10[N]<\/span>\uff0c\u5dee\u4e00\u70b9\uff0c\u4ed6\u53ef\u4ee5\u5b89\u5168\u5730\u5728\u6cf3\u6c60\u5e95\u90e8\u6f5c\u6c34\u3002\u8fd9\u4e2a\u5148\u751f\u771f\u5e78\u8fd0\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6d41\u4f53\u7684\u538b\u529b \u6458\u8981\uff1a \u672c\u8282\u8bfe\u5c06\u91cd\u70b9\u4ecb\u7ecd\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b\u6982\u5ff5\u4ee5\u53ca\u5b83\u5982\u4f55\u968f\u6df1\u5ea6\u53d8\u5316\u3002\u6211\u4eec\u5c06\u5b66\u4e60\u6d41\u4f53\u67d0\u70b9\u7684\u538b\u529b\u76f4\u63a5\u53d6\u51b3\u4e8e\u5176\u5bc6\u5ea6\u3001\u91cd\u529b\u548c\u6df1\u5ea6\u3002 \u5b66\u4e60\u76ee\u6807\uff1a \u8bfe\u7a0b\u7ed3\u675f\u65f6\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u7406\u89e3\u6d41\u4f53\u538b\u529b\u4e0e\u5bc6\u5ea6\u3001\u91cd\u529b\u548c\u6df1\u5ea6\u7b49\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002 \u5e94\u7528\u516c\u5f0f P = \u03c1gh \u6765\u8ba1\u7b97\u9759\u6b62\u6d41\u4f53\u4e2d\u7684\u538b\u529b\u3002 \u89e3\u91ca\u8868\u538b\u3001\u5927\u6c14\u538b\u548c\u7edd\u5bf9\u538b\u529b\u4e4b\u95f4\u7684\u533a\u522b\u3002 \u5185\u5bb9\u76ee\u5f55 \u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b \u76f8\u5bf9\u538b\u529b \u5b9e\u9645\u4f8b\u5b50 \u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b \u6211\u4eec\u5bf9\u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b\u4e86\u89e3\u591a\u5c11\uff1f \u6211\u4eec\u77e5\u9053\uff0c\u5982\u679c\u5c06\u5176\u7f6e\u4e8e\u67d0\u4e2a\u5bb9\u5668\u4e2d\uff0c\u7531\u4e8e\u6ee1\u8db3\u5173\u7cfb\u5f0f\u5e76\u4e14\u7531\u4e8e\u5176\u91cd\u91cf\uff0c\u6d41\u4f53\u5185\u90e8\u7684\u6bcf\u4e2a\u70b9\u90fd\u4f1a\u6839\u636e\u6df1\u5ea6\u4ea7\u751f\u538b\u529b\u3002 \u9759\u6b62\u6d41\u4f53\u7684\u538b\u529b \u5728\u67d0\u4e2a\u70b9\u4e0e\u6df1\u5ea6\u6210\u6b63\u6bd4\u3002\u6211\u4eec\u77e5\u9053\u8be5\u8868\u8fbe\u5f0f\u4e3a\uff1a \u5176\u4e2d \u662f\u6d41\u4f53\u7684\u5bc6\u5ea6\uff0c \u662f\u91cd\u529b\u52a0\u901f\u5ea6\uff0c \u662f\u6df1\u5ea6\u3002 \u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5728\u6d41\u4f53\u4e2d\u67d0\u4e2a\u6df1\u5ea6\u5904\u6c89\u5165\u4e00\u4e2a\u6c34\u5e73\u653e\u7f6e\u7684\u865a\u62df\u67f1\u4f53\uff0c\u5176\u5e95\u9762\u79ef\u4e3a \u6765\u8bc1\u660e\u8fd9\u4e00\u70b9\u3002 \u6211\u4eec\u5c06\u770b\u5230\u8be5\u5706\u76d8\u4f1a\u88ab\u5176\u4e0a\u65b9\u6d41\u4f53\u7684\u91cd\u91cf\u538b\u7f29\uff0c\u800c\u5e95\u90e8\u5219\u4f1a\u53d7\u5230\u4e0e\u91cd\u91cf\u76f8\u7b49\u4e14\u76f8\u53cd\u7684\u6cd5\u5411\u529b\uff08\u56e0\u4e3a\u6211\u4eec\u5047\u8bbe\u7cfb\u7edf\u5904\u4e8e\u9759\u6b62\u72b6\u6001\uff09\u3002 \u9759\u6b62\u6d41\u4f53\u538b\u529b\u516c\u5f0f\u7684\u63a8\u5bfc: \u6d41\u4f53\u5728\u88ab\u6d78\u6ca1\u7684\u7269\u4f53\u4e0a\u65b9\u5f62\u6210\u53e6\u4e00\u4e2a\u5e95\u9762\u79ef\u4e3a\u3001\u9ad8\u5ea6\u4e3a\u7684\u67f1\u4f53\uff0c\u56e0\u800c\u5f62\u6210\u4e86\u4e00\u4e2a\u4f53\u79ef\u3002 \u7531\u6b64\u6211\u4eec\u63a8\u65ad\u51fa \u5982\u679c\u6d41\u4f53\u7684\u5bc6\u5ea6\u4e3a\uff0c\u5219\u538b\u5728\u5706\u76d8\u4e0a\u7684\u6d41\u4f53\u8d28\u91cf\u4e3a\uff0c\u56e0\u6b64\u4ea7\u751f\u91cd\u91cf\u529b 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