{"id":200,"date":"2023-12-22T17:17:27","date_gmt":"2023-12-22T09:17:27","guid":{"rendered":"https:\/\/my.oindalvi.eu.org\/?p=200"},"modified":"2023-12-25T14:36:25","modified_gmt":"2023-12-25T06:36:25","slug":"%e7%bc%93%e5%92%8c%e6%9b%b2%e7%ba%bf%e9%95%bf%e3%80%81%e8%b6%85%e9%ab%98%e9%a1%ba%e5%9d%a1%e7%8e%87%e4%bb%a5%e5%8f%8a%e9%99%90%e9%80%9f%e4%b9%8b%e9%97%b4%e7%9a%84%e5%85%b3%e7%b3%bb","status":"publish","type":"post","link":"https:\/\/my.di.cloudns.asia\/index.php\/2023\/12\/22\/200.html","title":{"rendered":"\u7f13\u548c\u66f2\u7ebf\u957f\u3001\u8d85\u9ad8\u987a\u5761\u7387\u4ee5\u53ca\u9650\u901f\u4e4b\u95f4\u7684\u5173\u7cfb"},"content":{"rendered":"
\n

\u672c\u6587\u7531 \u7b80\u60a6 SimpRead<\/a> \u8f6c\u7801\uff0c \u539f\u6587\u5730\u5740 zhuanlan.zhihu.com<\/a><\/p>\n<\/blockquote>\n

\u524d\u8ff0<\/h3>\n

\u5728\u5730\u94c1\u8bbe\u8ba1\u4e2d\u7ecf\u5e38\u4f1a\u9047\u5230\u4e00\u4e2a\u95ee\u9898\u5c31\u662f\u6709\u65f6\u8f68\u9053\u6309\u884c\u8f66\u4e13\u4e1a\u63d0\u51fa\u7684\u7275\u5f15\u901f\u5ea6\u8bbe\u7f6e\u8d85\u9ad8\u540e\u53d1\u73b0\u8d85\u9ad8\u987a\u5761\u7387\u6709\u70b9\u9ad8\uff0c\u8d85\u8fc7\u4e86\u89c4\u8303\u4e2d\u8981\u6c42\u7684 2\u2030\uff0c\u6709\u65f6\u8fd8\u53ef\u80fd\u5927\u4e8e 2.5\u2030\uff0c\u6216\u8d85\u9ad8\u65f6\u53d8\u7387\u8d85\u8fc7\u89c4\u8303\u503c\u3002\u6b64\u65f6\u5c31\u4e0d\u5f97\u4e0d\u964d\u4f4e\u8d85\u9ad8\uff0c\u4f46\u968f\u4e4b\u800c\u6765\u7684\u7ed3\u679c\u5c31\u662f\u964d\u4f4e\u4e86\u8f68\u9053\u5141\u8bb8\u7684\u884c\u8f66\u901f\u5ea6\u3002\u53e6\u5916\u4e00\u79cd\u89e3\u51b3\u529e\u6cd5\u5c31\u662f\u8981\u7ebf\u8def\u4e13\u4e1a\u5ef6\u957f\u7f13\u548c\u66f2\u7ebf\u3002<\/p>\n

\u4e00\u822c\u800c\u8a00\u7ebf\u8def\u4e13\u4e1a\u9009\u62e9\u7684\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u90fd\u5e94\u8be5\u80fd\u6ee1\u8db3\u8f68\u9053\u8d85\u9ad8\u8bbe\u7f6e\u8981\u6c42\uff0c\u4f46\u662f\u53d1\u73b0\u73b0\u5b9e\u5e76\u4e0d\u662f\u8fd9\u6837\uff0c\u8fd9\u91cc\u8fb9\u4e00\u5b9a\u6709\u539f\u56e0\u3002\u7ecf\u8fc7\u54a8\u8be2\u53d1\u73b0\u7ebf\u8def\u4e13\u4e1a\u5728\u9009\u62e9\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u65f6\uff0c\u4e00\u822c\u90fd\u4f1a\u6309\u300a\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u300bGB 50157-2013 \u7b2c 6.2.2 \u8282\u4e2d\u7684 \u201c\u7ebf\u8def\u66f2\u7ebf\u8d85\u9ad8 – \u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u201d \u4e2d\u6700\u5927\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u6765\u8fdb\u884c\u8bbe\u7f6e\u7684\uff0c\u8fd9\u79cd\u505a\u6cd5\u662f\u6ca1\u6709\u95ee\u9898\u7684\uff0c\u4f46\u662f\u5f53\u7ebf\u8def\u4e13\u4e1a\u53d7\u5236\u4e8e\u5404\u79cd\u6761\u4ef6\u65e0\u6cd5\u6ee1\u8db3\u91c7\u7528\u6700\u5927\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u65f6\uff0c\u5c31\u4f1a\u9009\u62e9\u8f83\u77ed\u7684\u7f13\u548c\u66f2\u7ebf\uff0c\u7f13\u548c\u66f2\u7ebf\u8d8a\u77ed\uff0c\u610f\u5473\u7740\u8d85\u9ad8\u53ef\u80fd\u8bbe\u7f6e\u7684\u503c\u8d8a\u5c0f\uff0c\u66f2\u7ebf\u80fd\u591f\u5141\u8bb8\u7684\u901f\u5ea6\u4e5f\u8d8a\u5c0f\u3002\u7ebf\u8def\u4e13\u4e1a\u5728\u8bbe\u8ba1\u65f6\u8f83\u5c11\u8003\u8651\u66f2\u7ebf\u7684\u9650\u901f\u5f71\u54cd\u3002\u884c\u8f66\u4e13\u4e1a\u5728\u8ba1\u7b97\u7275\u5f15\u66f2\u7ebf\u65f6\uff0c\u5bf9\u4e8e\u66f2\u7ebf\u7684\u9650\u901f\u662f\u6ca1\u6709\u8003\u8651\u7f13\u548c\u66f2\u7ebf\u7684\u5f71\u54cd\u7684\uff0c\u53ea\u8003\u8651\u4e86\u66f2\u7ebf\u534a\u5f84\u7684\u53ca\u6b20\u8d85\u9ad8\u7684\u5f71\u54cd\u3002\u4ee5\u4e0a\u7684\u8fd9\u79cd\u4e0d\u5339\u914d\u5173\u7cfb\u5bfc\u81f4\u4e86\u8f68\u9053\u4e13\u4e1a\u5728\u8ba1\u7b97\u8d85\u9ad8\u65f6\u65f6\u5e38\u4f1a\u53d1\u751f\u8d85\u9ad8\u987a\u5761\u7387\u8d85\u9650\u7684\u60c5\u51b5\u3002<\/p>\n

\u8d85\u9ad8\u65f6\u53d8\u7387\u4e0e\u8d85\u9ad8\u987a\u5761\u7387<\/h3>\n

\u7f13\u548c\u66f2\u7ebf\u957f\u3001\u8d85\u9ad8\u987a\u5761\u7387\u4ee5\u53ca\u9650\u901f\u4e4b\u95f4\u5177\u4f53\u662f\u4ec0\u4e48\u5173\u7cfb\uff0c\u53c8\u662f\u5982\u4f55\u91cf\u5316\u8868\u8fbe\u7684\uff0c\u8fd9\u662f\u672c\u6587\u60f3\u8981\u63a2\u8ba8\u7684\u3002\u7ebf\u8def\u4e13\u4e1a\u5728\u8ba1\u7b97\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u65f6\u6709\u4e00\u4e2a\u6982\u5ff5\u5f88\u91cd\u8981\uff1a\u8d85\u9ad8\u65f6\u53d8\u7387\u3002\u8d85\u9ad8\u65f6\u53d8\u7387\u662f\u6307\u4e00\u4e2a\u66f2\u7ebf\u8d85\u9ad8\u5728\u7f13\u548c\u66f2\u7ebf\u4e0a\u901a\u8fc7\u65f6\u95f4\u7684\u53d8\u5316\u7a0b\u5ea6\u3002\u8d85\u9ad8\u65f6\u53d8\u7387\u662f\u9650\u5236\u8f66\u8f6e\u5347\u9ad8\u901f\u5ea6\u7684\u8212\u9002\u6027\u6307\u6807\u3002\u6309\u300a\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303 GB 50157-2013\u300b\u7b2c 6.2.2 \u6761\u7684\u6761\u6587\u89e3\u91ca\uff0c\u5728\u5730\u94c1\u4e2d\u4e00\u822c\u662f 40mm\/s\u3002<\/p>\n

\u8bbe\u987a\u5761\u957f\u5ea6\uff1aL\uff08m\uff09\uff0c\u5217\u8f66\u7ecf\u8fc7\u66f2\u7ebf\u7684\u901f\u5ea6 V(km\/h)\uff0c\u65f6\u95f4 t(s), \u8d85\u9ad8 h(mm)\u3002\u5219\u8d85\u9ad8\u65f6\u53d8\u7387 f \u4e3a:
\n
\nf=\\frac{h}{t}=\\frac{h}{\\frac{L}{v}}=\\frac{hv}{3.6L}\\le40 \\tag{1}<\/code>
\n<\/font>
\n\u90a3\u4e48\u6211\u4eec\u4e5f\u53ef\u4ee5\u63a8\u51fa\u6765\u5728\u6ee1\u8db3\u8d85\u9ad8\u65f6\u53d8\u7387\u7684\u60c5\u51b5\u4e0b\uff0c\u8f68\u9053\u7684\u8d85\u9ad8\u987a\u5761\u7387\u4e3a\uff1a
\n
\ni=h\/L=\\frac{h}{\\frac{hv}{3.6f}}=\\frac{3.6f}{v}\\le 3.6\\times\\frac{0.04}{v}=\\frac{0.144}{v}\\approx\\frac{1}{7v} \\tag{2}<\/code>
\n<\/font><\/p>\n

\u4e0a\u5f0f\u610f\u5473\u7740\u5728\u6ee1\u8db3\u8d85\u9ad8\u65f6\u53d8\u7387\u7684\u60c5\u51b5\u4e0b\uff0c\u8d85\u9ad8\u987a\u5761\u7387\u662f\u4e00\u4e2a\u4e0e\u8d85\u9ad8\u5927\u5c0f\u65e0\u5173\u7684\u91cf<\/strong>\uff0c\u5176\u5927\u5c0f\u4e0e\u901a\u8fc7\u66f2\u7ebf\u7684\u901f\u5ea6\u7684\u5927\u5c0f\u6709\u5173\u3002\u4ee5\u4e0b\u6211\u4eec\u8ba8\u8bba\u8f66\u8f86\u901a\u8fc7\u66f2\u7ebf\u65f6\u7684\u901f\u5ea6\u9650\u503c\u662f\u591a\u5c11\uff0c\u770b\u770b\u4e0d\u540c\u7684\u901f\u5ea6\u4e0b\u8d85\u9ad8\u65f6\u53d8\u7387\u6709\u591a\u5927\u3002\u7531\u4e8e\u300a\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u300b\u4e2d\u6700\u5927\u7684\u8bbe\u8ba1\u65f6\u901f\u4e3a 100km\/h\uff0c\u6211\u4eec\u4ee5\u8bbe\u8ba1\u65f6\u901f\u4e3a 100km\/h \u7684\u60c5\u51b5\u8fdb\u884c\u8ba8\u8bba\u3002<\/p>\n

\uff081\uff09\u66f2\u7ebf\u9650\u901f\u2264100km\/h<\/h3>\n

\u300a\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u300b GB 50157-2013 \u8981\u6c42\u66f2\u7ebf\u6700\u5927\u8d85\u9ad8\u4e3a 120mm\u3002\u5f53\u4e00\u4e2a\u66f2\u7ebf\u7684\u8d85\u9ad8\u53ef\u8bbe\u7f6e\u4e3a 120m \u65f6\uff0c\u4e00\u822c\u6700\u9ad8\u9650\u5236\u901f\u5ea6\u6309\u672a\u88ab\u5e73\u8861\u52a0\u901f\u5ea6 0.4m\/s\u00b2 \u8ba1\uff08\u4ea6\u5373\u6b20\u8d85\u9ad8\u4e3a 61mm\uff0c\u6839\u636e\u300a\u57ce\u5e02\u8f68\u9053\u4ea4\u901a\u5de5\u7a0b\u9879\u76ee\u89c4\u8303\u300bGB55033 \u76ee\u524d\u5df2\u6ca1\u6709\u56f0\u96be\u60c5\u51b5\u4e0b\u7684\u6b20\u8d85\u9ad8\uff09\uff0c\u5219\u66f2\u7ebf\u7684\u9650\u5236\u901f\u5ea6\u4e3a\uff1a
\n
\n\\begin{align} V_{\u9650}\\lt V_{0.4} &= \\sqrt{(120+153\\times0.4)R\/11.8}\\\\ &= 3.92\\sqrt{R}\\gt3.91\\sqrt{R}\\quad(km\/h) \\end{align} \\tag{3}<\/code>
\n<\/font><\/p>\n

\u300a\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u300b GB 50157-2013 \u4e2d\u7684\u53d6\u503c\u4e3a 3.91\\sqrt{R}<\/code>\uff0c\u5c5e\u4e8e\u504f\u8212\u9002\u8003\u8651\u3002\u7531\u4e0a\u5f0f\u53ef\u4ee5\u5f97\u51fa\u66f2\u7ebf\u7684\u9650\u5236\u901f\u5ea6\u4e0e\u66f2\u7ebf\u534a\u5f84\u6709\u5bc6\u5207\u5173\u7cfb\u3002<\/p>\n

\u6b63\u7ebf\u7684\u7ebf\u8def\u7684\u66f2\u7ebf\u534a\u5f84\u6700\u5c0f\u4e3a 250m\u3002\u4e8e\u662f\u53ef\u5f97\u5e76\u975e\u6240\u6709\u66f2\u7ebf\u7684\u90fd\u53ef\u4ee5\u8fbe\u5230\u6700\u8fbe\u7684\u8bbe\u8ba1\u65f6\u901f\uff08100km\/h\uff09\uff0c\u5982 A \u578b\u8f66\u6b63\u7ebf\u66f2\u7ebf\u534a\u5f84\u4e00\u822c\u6700\u5c0f\u503c\u4e3a 350m\uff0c\u5219\u901a\u8fc7\u66f2\u7ebf\u7684\u6700\u5927\u901f\u5ea6\u7531\u4e0a\u5f0f\u8ba1\u7b97\u53ef\u5f97\u4e3a 73km\/h\u3002\u6b64\u65f6\u7684\u66f2\u7ebf\u7684\u8d85\u9ad8\u987a\u5761\u7387\u4e3a\uff1a
\n
\n\\begin{align} i \\leq1\/{7v} &=1\/(7\\times3.91\\sqrt{R})\\\\ &=\\frac{0.0365}{\\sqrt{R}}\\le\\frac{0.0365}{\\sqrt{350}}\\\\ &=1.95\u2030\\approx2\u2030 \\end{align} \\tag{4}<\/code>
\n<\/font><\/p>\n

\u5f53\u66f2\u7ebf\u534a\u5f84\u4e3a\u6700\u5c0f\u503c 250m \u65f6\uff0c\u9650\u901f 61km\/h\uff0ci\u22642.31\u2030\u3002<\/p>\n

\u6240\u4ee5\uff0c\u5f53\u7ebf\u8def\u6309\u6bcf\u4e2a\u66f2\u7ebf\u6ee1\u8db3\u6700\u5927\u901f\u5ea6\u884c\u9a76\u5e76\u6ee1\u8db3\u8d85\u9ad8\u65f6\u53d8\u7387\u8981\u6c42<\/strong>\u65f6\uff0c \u66f2\u7ebf\u534a\u5f84\u8d8a\u5927\uff0c\u8d85\u9ad8\u987a\u5761\u7387\u8d8a\u5c0f\uff0c\u5f53\u66f2\u7ebf\u534a\u5f84\u6700\u5c0f\u65f6\u53ef\u4ee5\u5f97\u5230\u6700\u5927\u7684\u8d85\u9ad8\u987a\u5761\u7387\uff0c \u4e00\u822c\u60c5\u51b5\u4e0b\u5747\u80fd\u6ee1\u8db3\u8f68\u9053\u8d85\u9ad8\u987a\u5761\u7387\u4e0d\u5927\u4e8e 2\u2030\u7684\u8981\u6c42\uff0c\u6700\u5927\u503c\u4e3a 2.31\u2030\u3002<\/p>\n

\u7f13\u66f2\u7ebf\u7684\u6700\u5c0f\u957f\u5ea6\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a
\n
\nL=h\/i=120\/(\\frac{0.0365}{\\sqrt{R}})\/1000=3.288\\sqrt{R} \\tag{5}<\/code>
\n<\/font>
\n\u8fd9\u4e2a\u516c\u5f0f\u8ba1\u7b97\u6240\u5f97\u4e0e\u300a\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u300bGB50157-2013 \u4e2d 6.2 \u8282\u8868 6.2.2 \u7ebf\u8def\u66f2\u7ebf\u8d85\u9ad8 – \u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u57fa\u672c\u662f\u4e00\u81f4\u7684\u3002\u5728 R=350m \u65f6\u7ed9\u51fa\u7684\u6700\u5c0f\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u662f 60m(\u5b9e\u9645\u8ba1\u7b97\u4e3a 61.5m)\u3002<\/p>\n

\u5728\u4ee5\u4e0a\u8ba1\u7b97\u4e2d\uff0c\u6211\u4eec\u7ed9\u51fa\u4e86\u5f53\u66f2\u7ebf\u9650\u901f V\u2264100km\/h \u65f6\uff0c\u5f53\u66f2\u7ebf\u6ee1\u8db3\u901f\u5ea6\u6700\u5927\uff0c\u8d85\u9ad8\u8bbe\u7f6e\u4e3a 120mm\uff0c\u6b20\u8d85\u9ad8\u4e3a 61mm \u65f6\u7684\u8d85\u9ad8\u987a\u5761\u7387\u7684\u6700\u5927\u503c\uff0c\u4ee5\u53ca\u5bf9\u5e94\u7684\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u8ba1\u7b97\u65b9\u6cd5\u548c\u5bf9\u5e94\u5173\u7cfb\uff0c\u4f46\u662f\u7ebf\u8def\u5728\u7ed8\u5236\u65f6\u53d7\u5236\u4e8e\u5404\u79cd\u5404\u6837\u7684\u56e0\u7d20\uff0c\u7f13\u548c\u66f2\u7ebf\u6ca1\u529e\u6cd5\u8fbe\u5230\u6700\u5927\u503c\uff0c\u90a3\u4e48\u4ed6\u4eec\u5c31\u4f1a\u6309\u300a\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u300b\u8868 6.2.2 \u4e2d\u5217\u51fa\u7684\u4fe1\u606f\uff0c\u4f1a\u5728\u5bf9\u5e94\u7684\u534a\u5f84\u957f\u4e2d\u9009\u62e9\u4e00\u4e2a\u5408\u9002\u7684\u7f13\u548c\u66f2\u7ebf\u957f\u3002\u90a3\u4e48\u7f29\u77ed\u7f13\u548c\u66f2\u7ebf\u957f\u4f1a\u6709\u4ec0\u4e48\u5f71\u54cd\u5462\uff1f\u9996\u5148\u7f13\u548c\u66f2\u7ebf\u53d8\u77ed\u540e\u4ecd\u7136\u9700\u8981\u6ee1\u8db3\u8d85\u9ad8\u65f6\u53d8\u7387 40mm\/s \u7684\u8981\u6c42\u3002\u6211\u4eec\u9700\u8981\u5728\u7ed9\u5b9a\u7684 R\u3001L \u60c5\u51b5\u4e0b\u6765\u8ba1\u7b97\u8d85\u9ad8 h \u548c\u8ba1\u7b97\u9650\u901f V\u3002
\n
\n\\begin{align} \\frac{hv}{3.6L}&\\le40\\\\ \\frac{11.8v^2}{R}v &\\le144L\\\\ v&\\le(12.2LR)^{1\/3}\\\\ h&\\le\\frac{11.8v^2}{R}=62.535\\frac{L^{2\/3}}{R^{1\/3}} \\end{align} \\tag{6}<\/code>
\n<\/font><\/p>\n

\u6211\u4eec\u4ee5 R=350m \u534a\u5f84\u4e3a\u4f8b\u6765\u8bf4\u660e\u4e0a\u8ff0\u8ba1\u7b97\u662f\u6b63\u786e\u7684\u3002\u5f53 R=350\uff0cL=55 \u65f6\uff0c\u8ba1\u7b97\u9650\u901f\u4e3a 61.7km\/h\uff0c\u8ba1\u7b97\u8d85\u9ad8\u4e3a 128\uff08\u5927\u4e8e 120mm\uff0c\u4ecd\u7136\u53d6 120mm\uff09\uff0c\u89c4\u8303\u8868\u683c\u4e2d\u5bf9\u5e94\u7684\u9650\u901f\u4e3a 65km\/h\uff0c\u8d85\u9ad8\u4e3a 120mm\u3002\u7531\u4e8e\u8d85\u9ad8\u8ba1\u7b97\u5927\u4e8e\u4e86 120mm\uff0c\u5b9e\u9645\u53d6\u5e94\u4e3a 120mm\uff0c\u6bd4\u7406\u8bba\u503c\u662f\u8981\u4f4e\u7684\uff0c\u6309\u4e0a\u8ff0\u7b2c\u4e00\u4e2a\u516c\u5f0f\u53ef\u4ee5\u8ba1\u7b97\u51fa\u9650\u901f\u4e5f\u662f\u8981\u9ad8\u4e00\u4e9b\u7684\u3002\u5f53 R=350\uff0cL=40 \u65f6\uff0c\u8ba1\u7b97\u9650\u901f 55.5km\/h\uff0c\u8ba1\u7b97\u8d85\u9ad8 104mm\u3002\u89c4\u8303\u4e2d\u7684\u9650\u901f\u503c\u548c\u8d85\u9ad8\u503c\u5206\u522b\u5bf9\u5e94 55km\/h \u548c 100mm\u3002\u57fa\u672c\u4e00\u81f4\u3002\u5b9e\u9645\u4e0a\u7531\u4e8e\u89c4\u8303\u4e2d\u7ed9\u5b9a\u7684\u8868\u683c\u4e2d\u8d85\u9ad8\u548c\u9650\u901f\u662f\u6309\u6574 5 \u6574 10 \u53d8\u5316\u7684\uff0c\u540c\u65f6\u8fd8\u6709\u90e8\u5206\u6309\u901f\u5ea6\u8ba1\u7b97\u65f6\u8d85\u9ad8\u8d85\u8fc7 120mm \u7684\u60c5\u51b5\uff0c\u6240\u4ee5\u4e3a\u7b80\u5355\u8ba1\u7b97\u6211\u4eec\u53ea\u9700\u8981\u6309 (hv)\/(3.6L)\\le40<\/code> \u8fdb\u884c\u8ba1\u7b97\u5373\u53ef\u3002<\/p>\n

\u4e0a\u8ff0\u8ba1\u7b97\u7f13\u548c\u66f2\u7ebf\u6700\u5927\u957f\u5ea6\u65f6\u662f\u4ee5\u6b20\u8d85\u9ad8\u4e3a 61mm \u8ba1\u7684\uff0c\u5982\u679c\u6b20\u8d85\u9ad8\u4e3a 75mm\uff08\u672a\u88ab\u5e73\u8861\u52a0\u901f\u5ea6\u4e3a 0.5m\/s\u00b2\uff09\uff09\u65f6\u4f1a\u600e\u4e48\u6837\u5462\uff1f\u7531\u4e8e\u66f2\u7ebf\u534a\u5f84\u7684\u5f71\u54cd\uff0c\u6700\u5927\u8d85\u9ad8\u503c\u53ef\u4ee5\u8bbe\u7f6e\u5728 120mm\uff0c\u66f2\u7ebf\u9650\u5236\u901f\u5ea6\u6309\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u4e3a 4.08\\sqrt{R}\\quad km\/h<\/code>\u3002\u6b64\u65f6\u7531\u4e8e\u901f\u5ea6\u7684\u589e\u52a0\uff0c\u4f46\u7f13\u548c\u66f2\u7ebf\u6ca1\u6709\u76f8\u5e94\u7684\u53d8\u957f\uff0c\u5219\u65f6\u53d8\u7387\u53ef\u80fd\u4f1a\u53d1\u751f\u4e0d\u6ee1\u8db3\u7684\u60c5\u51b5\uff1a
\n
\n\\begin{align} f&=\\frac{hv}{3.6L}\\\\ &=\\frac{120\\times4.08\\sqrt{R}}{3.6\\times3.228\\sqrt{R}}\\\\ &=42\\gt40mm\/s \\end{align} \\tag{7}<\/code>
\n<\/font><\/p>\n

\u7efc\u4e0a\uff0c\u5728\u66f2\u7ebf\u9650\u901f\u2264100km\/h \u65f6\uff0c\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u662f\u4e0e\u534a\u5f84 R \u76f8\u5173\u7684\u4e00\u4e2a\u91cf\uff0c\u66f2\u7ebf\u534a\u5f84\u8d8a\u5927\uff0c\u7f13\u548c\u66f2\u7ebf\u8d8a\u957f\u3002<\/p>\n

\uff082\uff09\u66f2\u7ebf\u9650\u901f\u2265100km\/h<\/h3>\n

\u5728\uff081\uff09\u4e2d\u7f13\u548c\u66f2\u7ebf\u7684\u957f\u5ea6\u8ba1\u7b97\u516c\u5f0f\u5e76\u4e0d\u662f\u5bf9\u6240\u6709\u66f2\u7ebf\u90fd\u9002\u7528\uff0c\u8fd9\u662f\u56e0\u4e3a\u7ebf\u8def\u8981\u6c42\u7684\u6700\u5927\u901f\u5ea6\u662f\u6709\u4e0a\u9650\u7684\uff0c\u5982\u672c\u8282\u8981\u6c42\u7684\u6700\u5927\u901f\u5ea6\u662f 100km\/h\uff0c\u4e5f\u5c31\u662f\u8bf4\u5e76\u4e0d\u662f\u6240\u6709\u7684\u66f2\u7ebf\u90fd\u9700\u8981\u8bbe\u7f6e 120mm \u7684\u8d85\u9ad8\u5e76\u6309 0.4m\/s\u00b2 \u7684\u672a\u88ab\u5e73\u8861\u52a0\u901f\u5ea6\u624d\u80fd\u4f7f\u8be5\u66f2\u7ebf\u4e0a\u7684\u5217\u8f66\u8fbe\u5230\u6700\u5927\u65f6\u901f\u3002\u5f53\u66f2\u7ebf\u534a\u5f84\u8d8a\u5927\uff0c\u672a\u88ab\u5e73\u8861\u52a0\u901f\u5ea6\u8d8a\u5c0f\uff0c\u66f2\u7ebf\u5141\u8bb8\u901a\u8fc7\u7684\u901f\u5ea6\u8d8a\u5927\uff0c\u76f4\u81f3\u8bbe\u8ba1\u65f6\u901f\u3002<\/p>\n

\u5f53\u672a\u88ab\u5e73\u8861\u52a0\u901f\u5ea6\u4e3a 0.4m\/s\u00b2\uff0c\u8d85\u9ad8\u4e3a 120mm \u65f6\uff0c\u66f2\u7ebf\u53ef\u4ee5\u8fbe\u5230\u8bbe\u8ba1\u65f6\u901f\u4e3a 100km\/h \u65f6\uff0c\u6700\u5c0f\u7684\u66f2\u7ebf\u534a\u5f84\u4e3a\uff1a
\nR=(100\/3.91)^2=654m \\tag{8}<\/code><\/font><\/p>\n

\u5373\u5f53\u7ebf\u8def\u9700\u8981\u8fbe\u5230\u8bbe\u8ba1\u65f6\u901f\u4e3a 100km\/h \u7684\u6700\u5c0f\u66f2\u7ebf\u534a\u5f84\u4e3a 654m\u3002\u6b64\u65f6\u7f13\u548c\u66f2\u7ebf\u7684\u957f\u5ea6\u8981\u6c42\u4e5f\u6700\u957f\uff0c\u4e3a\uff1a84m\u3002\u968f\u7740\u66f2\u7ebf\u7ee7\u7eed\u589e\u52a0\uff0c\u5728\u66f2\u7ebf\u4e0a\u8981\u8fbe\u5230 100km\/h \u65f6\u7684\u672a\u88ab\u5e73\u8861\u56de\u901f\u5ea6\u4e0d\u4e00\u5b9a\u8981 0.4m\/s\u00b2 \u5c31\u53ef\u4ee5\u4e86\u3002\u66f2\u7ebf\u534a\u5f84\u7ee7\u7eed\u589e\u52a0\uff0c\u76f4\u81f3\u672a\u88ab\u5e73\u8861\u52a0\u901f\u5ea6\u4e3a 0m\/s\u00b2 \u5c31\u53ef\u4ee5\u6ee1\u8db3 100km\/h \u7684\u884c\u8f66\u9700\u6c42\u3002\u6b64\u65f6\u7684\u534a\u5f84\u4e3a\uff1a
\nR=11.8\\times100^2\/120=983m \\tag{9}<\/code><\/font><\/p>\n

\u4ece\u4e0a\u8ff0\u53ef\u77e5\u5f53 654\u2264R\u2264983m \u65f6\uff0c\u867d\u7136\u66f2\u7ebf\u534a\u5f84\u5728\u4e0d\u65ad\u53d8\u5927\uff0c\u7531\u4e8e\u8f68\u9053\u8d85\u9ad8\u4e3a 120mm\uff0c\u53ea\u662f\u901a\u8fc7\u7f29\u5c0f\u672a\u88ab\u5e73\u8861\u52a0\u901f\u5ea6\u5c31\u53ef\u4ee5\u6ee1\u8db3\u66f2\u7ebf\u5141\u8bb8\u901f\u5ea6\u4e3a 100km\/h \u7684\u6761\u4ef6\uff0c\u5373\u8d85\u9ad8\u56fa\u5bb6\uff0c\u901f\u5ea6\u56fa\u5b9a\uff0c\u5219\u6839\u636e f=\\frac{hv}{3.6L}=40<\/code><\/font> \u53ef\u77e5\u7f13\u548c\u66f2\u7ebf\u957f\u4e5f\u662f\u56fa\u5b9a\u7684\uff0c\u5747\u4e3a 84m\u3002\u5728\u5730\u94c1\u8bbe\u8ba1\u89c4\u8303\u4e2d\u7ed9\u51fa\u7684 700 \u534a\u5f84\u3001800 \u534a\u5f84\u548c 1000 \u534a\u5f84\u65f6\uff0c\u901f\u5ea6\u53ef\u4ee5\u8fbe\u5230 100km\/h \u7684\u5de5\u51b5\u4e0b\uff0c\u6b64\u65f6\u7f13\u548c\u66f2\u7ebf\u957f\u5ea6\u5747\u4e3a 85m\u3002<\/p>\n

\u5f53\u66f2\u7ebf\u534a\u5f84\u7ee7\u7eed\u589e\u52a0\uff0c\u534a\u5f84\u5927\u4e8e 983m \u65f6\uff0c\u8f68\u9053\u8d85\u9ad8\u4e0d\u518d\u9700\u8981\u8bbe\u7f6e 120mm \u5c31\u53ef\u4ee5\u5141\u8bb8\u66f2\u7ebf\u4e0a\u5217\u8f66\u901a\u8fc7\u901f\u5ea6\u8fbe\u5230 100km\/h\u3002\u6b64\u65f6\u8f68\u9053\u7684\u8bbe\u8ba1\u8d85\u9ad8\u4e3a\uff1a
\nh=11.8\\frac{100^2}{R} \\tag{11}<\/code><\/font>
\n\u6839\u636e\u4e0a\u6587\u4e2d\u8d85\u9ad8\u65f6\u53d8\u7387\u7684\u8ba1\u7b97\u516c\u5f0f\u53ef\u5f97\uff1a
\n
\n\\begin{align} f&=\\frac{h}{t}=\\frac{h}{\\frac{L}{v}}=\\frac{hv}{3.6L}\\le40\\\\ L&\\ge0.7h=\\frac{82600}{R}\\\\ i&=h\/L\\le1.43\u2030=\\frac{1}{7v}\\quad(v=100km\/h) \\end{align} \\tag{12}<\/code><\/font><\/p>\n

\u6545\u5f53\u66f2\u7ebf\u534a\u5f84\u5927\u4e8e 983m \u65f6\uff0c\u66f2\u7ebf\u534a\u5f84\u8d8a\u5927\uff0c\u7f13\u548c\u66f2\u7ebf\u8d8a\u77ed\uff0c\u5982\u4e0b\u8868\u6240\u793a\u3002<\/p>\n\n\n\n\n\n\n\n\n\n
\u66f2\u7ebf\u534a\u5f84 <\/th>\n\u8ba1\u7b97\u7f13\u548c\u66f2\u7ebf\u957f <\/th>\n \u89c4\u8303\u503c<\/th>\n<\/tr>\n<\/thead>\n
1000<\/td>\n83<\/td>\n85<\/td>\n<\/tr>\n
1200<\/td>\n69<\/td>\n70<\/td>\n<\/tr>\n
1500<\/td>\n55<\/td>\n55<\/td>\n<\/tr>\n
2000<\/td>\n41<\/td>\n45<\/td>\n<\/tr>\n
2500<\/td>\n33<\/td>\n35<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\u540c\u65f6\u8d85\u9ad8\u987a\u5761\u7387\u662f\u4e00\u4e2a\u5b9a\u503c 1.43\u2030\u3002<\/p>\n

\u540c\u6837\u7684\uff0c\u5f53\u7ebf\u8def\u4e1a\u53d7\u5236\u4e8e\u5404\u79cd\u56e0\u7d20\u800c\u65e0\u6cd5\u8bbe\u7f6e\u8f83\u957f\u7684\u7f13\u548c\u66f2\u7ebf\u65f6\uff0c\u5c31\u4f1a\u9009\u62e9\u7f29\u77ed\u7684\u7f13\u548c\u66f2\u7ebf\uff0c\u4f46\u662f\u6839\u636e\u5730\u94c1\u89c4\u8303\uff0c\u7f13\u548c\u66f2\u7ebf\u4e00\u822c\u4e0d\u5c0f\u4e8e 20m\uff0c\u8fd9\u662f\u57fa\u4e8e\u4e00\u8282\u8f66\u8f86\u7684\u5168\u8f74\u77e9\uff08\u4e24\u4e2a\u8f6c\u5411\u67b6\u4e2d\u5fc3\u8ddd + \u4e00\u4e2a\u8f6c\u5411\u67b6\u56fa\u5b9a\u8f74\u8ddd\uff09\u957f\u5ea6\u8981\u6c42\u800c\u5b9a\uff0c\u5927\u81f4\u6309\u4e00\u8282\u8f66\u8f86\u957f\u5ea6\u4e3a 20m\u3002<\/p>\n

\u7ed3\u8bba<\/h3>\n

\u7efc\u4e0a\uff0c\u4e00\u822c\u800c\u8a00\u7ebf\u8def\u4e13\u4e1a\u4f1a\u6309\u8d85\u9ad8\u65f6\u53d8\u7387\u8bbe\u7f6e\u7f13\u548c\u66f2\u7ebf\uff0c\u6309\u8d85\u9ad8\u65f6\u53d8\u7387\u8ba1\u7b97\u51fa\u6765\u7684\u8d85\u9ad8\u90fd\u80fd\u6ee1\u8db3\u8f68\u9053\u4e13\u4e1a\u8981\u6c42\u7684\u8d85\u9ad8\u987a\u5761\u7387\u7684\u8981\u6c42\uff08i=1\/(7v)<\/code><\/font>\uff09\u3002<\/p>\n

\u5728\u66f2\u7ebf\u51b3\u5b9a\u6700\u5927\u9650\u901f\u60c5\u51b5\u4e0b\uff0c250\u2264R\u2264654 \u65f6\uff0c\u66f2\u7ebf\u9650\u901f\u2264100km\/h\uff0c\u7f13\u548c\u66f2\u7ebf\u957f\u968f\u534a\u5f84\u7684\u589e\u52a0\u800c\u53d8\u5927\uff0c\u8d85\u9ad8\u987a\u5761\u7387\u9010\u6e10\u53d8\u5c0f\uff0c\u6700\u5927\u503c 2.31\u2030\uff1b654\u2264R\u2264983 \u65f6\uff0c\u66f2\u7ebf\u9650\u901f = 100km\/h\uff0c\u7f13\u548c\u66f2\u7ebf\u957f\u4e0d\u53d8\uff0c\u8d85\u9ad8\u987a\u5761\u7387\u4e0d\u53d8\u4e3a 1.43\u2030\uff1b983\u2264R \u65f6\uff0c\u66f2\u7ebf\u9650\u901f = 100km\/h\uff0c\u7f13\u548c\u66f2\u7ebf\u957f\u968f\u534a\u5f84\u589e\u52a0\u800c\u51cf\u5c11\uff0c\u8d85\u9ad8\u987a\u5761\u7387\u4e3a\u5b9a\u503c 1.43\u2030\u3002\u4f46\u662f\u5f53\u7ebf\u8def\u6ca1\u6709\u53d6\u6700\u5927\u7f13\u548c\u66f2\u7ebf\u957f\u65f6\uff0c\u66f2\u7ebf\u9650\u901f\u4e0d\u5e94\u6309\u534a\u5f84\u8fdb\u884c\u8ba1\u7b97\uff0c\u800c\u5e94\u8be5\u8d85\u9ad8\u65f6\u53d8\u7387\u8fdb\u884c\u8003\u8651\u3002<\/p>\n

\u884c\u8f66\u4e13\u4e1a\u5728\u8fdb\u884c\u7275\u5f15\u8ba1\u7b97\u65f6\u4e0d\u4ec5\u5e94\u8003\u8651\u5706\u66f2\u7ebf\u7684\u9650\u901f\uff0c\u8fd8\u5e94\u8003\u8651\u7f13\u548c\u66f2\u7ebf\u5e26\u6765\u7684\u9650\u901f\u3002\u8fd9\u5c31\u9700\u8981\u884c\u8f66\u4e13\u4e1a\u80fd\u591f\u7f16\u5236\u4e00\u6b3e\u5c0f\u7a0b\u5e8f\u4ee5\u4fbf\u80fd\u591f\u6839\u636e\u7ebf\u8def\u66f2\u7ebf\u534a\u5f84\u548c\u524d\u540e\u7f13\u548c\u66f2\u7ebf\u957f\u5f97\u51fa\u9650\u901f\u503c\u3002\u5f53\u53d1\u73b0\u6709\u4e0d\u6ee1\u8db3\u65f6\uff0c\u6216\u8005\u964d\u901f\u4f18\u5316\u7275\u5f15\u66f2\u7ebf\uff0c\u6216\u8005\u53cd\u9988\u7ed9\u7ebf\u8def\u4e13\u4e1a\u8fdb\u884c\u4f18\u5316\u7ebf\u8def\u3002<\/p>\n

\u5f53\u884c\u8f66\u4e13\u4e1a\u5bf9\u7f13\u548c\u66f2\u7ebf\u9650\u901f\u64cd\u4f5c\u56f0\u96be\u65f6\uff0c\u4e5f\u53ef\u4ee5\u4ecd\u6309\u5706\u66f2\u7ebf\u534a\u5f84\u8fdb\u884c\u9650\u901f\u8ba1\u7b97\uff0c\u53ea\u4e0d\u5f53\u8f68\u9053\u4e13\u4e1a\u8ba1\u7b97\u8d85\u9ad8\u503c\u53ca\u9650\u901f\u503c\u65f6\u4f1a\u53d1\u73b0\u90e8\u5206\u503c\u4e0d\u6ee1\u8db3\u89c4\u8303\uff0c\u518d\u53cd\u9988\u7ed9\u884c\u8f66\u548c\u7ebf\u8def\u4e13\u4e1a\u8fdb\u884c\u8c03\u6574\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

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