{"id":26,"date":"2013-10-14T17:42:00","date_gmt":"2013-10-14T15:42:00","guid":{"rendered":"http:\/\/viewonphysics.gr\/?p=26"},"modified":"2017-10-31T22:39:48","modified_gmt":"2017-10-31T20:39:48","slug":"%cf%84%ce%bf-%ce%b4%ce%af%ce%bb%ce%b7%ce%bc%ce%bc%ce%b1-%cf%84%ce%bf%cf%85-%cf%84%ce%b1%cf%81%ce%b6%ce%ac%ce%bd","status":"publish","type":"post","link":"https:\/\/viewonphysics.gr\/?p=26","title":{"rendered":"\u03a4\u03bf \u03b4\u03af\u03bb\u03b7\u03bc\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd"},"content":{"rendered":"
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\u00a0<\/span><\/div>\n

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\u00a0<\/span><\/div>\n
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(\u0391\u03c5\u03c4\u03cc \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd\u03b5 \u03bd\u03b1 \u03c4\u03bf \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03bd \u03b4\u03b5\u03c7\u03c4\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03bc\u03ac\u03b6\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03af\u03b4\u03b9\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03bc\u03b5 \u03c4\u03bf \u03ba\u03ac\u03c4\u03c9<\/span>\u00a0\u03ac\u03ba\u03c1\u03bf \u03c4\u03bf\u03c5 \u03ba\u03bb\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b1 \u03b1\u03c0\u03cc \u03c0\u03bf\u03cd \u03c4\u03bf \u03ad\u03c7\u03b5\u03b9 \u03c0\u03b9\u03ac\u03c3\u03b5\u03b9). \u03a5\u03c0\u03bf\u03b8\u03ad\u03c4\u03bf\u03c5\u03bc\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bc\u03b9\u03b1 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03bf\u03c1\u03b9\u03b6\u03cc\u03bd\u03c4\u03b9\u03b1 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 v. \u0398\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03bc\u03b5\u03b3\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03bf\u03c1\u03b9\u03b6\u03cc\u03bd\u03c4\u03b9\u03b1 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03bd\u03b1 \u03ad\u03bb\u03b8\u03b5\u03b9 \u03bf \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd \u03ba\u03b1\u03b9 \u03c0\u03ac\u03bb\u03b9 \u03c3\u03b5 \u03b5\u03c0\u03b1\u03c6\u03ae \u03bc\u03b5 \u03c4\u03bf \u03ad\u03b4\u03b1\u03c6\u03bf\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03b8\u03ad\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bc\u03ac\u03b6\u03b1\u03c2 m \u03b5\u03c0\u03af \u03c4\u03bf\u03c5 \u03ba\u03ac\u03c4\u03c9 \u03ac\u03ba\u03c1\u03bf\u03c5 \u03c4\u03bf\u03c5 \u03ba\u03bb\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2<\/i> \u03ba\u03b1\u03b9 \u03cc\u03c7\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c0\u03bf\u03c5 \u03b5\u03b3\u03ba\u03b1\u03c4\u03b1\u03bb\u03b5\u03af\u03c0\u03b5\u03b9 \u03c4\u03bf \u03ba\u03bb\u03ae\u03bc\u03b1. \u0391\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b4\u03b5 \u03bc\u03b1\u03c2 \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03c4\u03bf \u03c0\u03bb\u03ac\u03c4\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03c6\u03b1\u03c1\u03b1\u03b3\u03b3\u03b9\u03bf\u03cd, \u03b5\u03ba\u03c4\u03cc\u03c2 \u03ba\u03b9 \u03b1\u03bd \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03b1\u03bd \u03bf \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd \u03c0\u03ad\u03c6\u03c4\u03b5\u03b9 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ac \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03bf \u03c6\u03b1\u03c1\u03ac\u03b3\u03b3\u03b9 \u03ae \u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc. \u03a4\u03ad\u03bb\u03bf\u03c2 \u03b8\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03c1\u03b9\u03b2\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03ad\u03c1\u03b1 \u03b1\u03bc\u03b5\u03bb\u03b7\u03c4\u03ad\u03b5\u03c2.<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u0391\u03c2 \u03b8\u03c5\u03bc\u03b7\u03b8\u03bf\u03cd\u03bc\u03b5 \u03c4\u03ce\u03c1\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03ac\u03b3\u03b9\u03b1\u03c2 \u03b2\u03bf\u03bb\u03ae\u03c2. \u0393\u03b9\u03b1 \u03bc\u03af\u03b1 \u03c0\u03bb\u03ac\u03b3\u03b9\u03b1 \u03b2\u03bf\u03bb\u03ae \u03c0\u03bf\u03c5 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ad\u03b4\u03b1\u03c6\u03bf\u03c2 \u03bc\u03b5 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 v0<\/sub>\u00a0\u03ba\u03b1\u03b9 \u03c5\u03c0\u03cc \u03b3\u03c9\u03bd\u03af\u03b1 \u03b8 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf \u03ad\u03b4\u03b1\u03c6\u03bf\u03c2\u00a0\u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7:<\/span><\/div>\n
<\/a><\/p>\n

(1) <\/span>   <\/span>\"\begin{equation*} <\/p>\n<\/div>\n

\u038c\u03c0\u03bf\u03c5 R \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03bf\u03c1\u03b9\u03b6\u03cc\u03bd\u03c4\u03b9\u03bf \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03ad\u03c2 \u03bc\u03b5 g=9,8m\/s<\/span>2<\/sup>.<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u0391\u03c2 \u03b8\u03b5\u03c9\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03ce\u03c1\u03b1 \u03cc\u03c4\u03b9 \u03b7 \u03af\u03b4\u03b9\u03b1 \u03b2\u03bf\u03bb\u03ae \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9, \u03cc\u03c7\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03ad\u03b4\u03b1\u03c6\u03bf\u03c2, \u03b1\u03bb\u03bb\u03ac \u03b1\u03c0\u03cc \u03cd\u03c8\u03bf\u03c2 H. \u0391\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03ba\u03b9\u03bd\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b4\u03cd\u03bf \u03b4\u03b9\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bd\u03b5 \u03c4\u03b9\u03c2 \u03b5\u03be\u03ae\u03c2 \u03b5\u03ba\u03c6\u03c1\u03ac\u03c3\u03b5\u03b9\u03c2:<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u039a\u03b1\u03c4\u03ac \u03c4\u03bf\u03bd \u03ba\u03b1\u03c4\u03b1\u03ba\u03cc\u03c1\u03c5\u03c6\u03bf \u03ac\u03be\u03bf\u03bd\u03b1 y \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7:<\/span><\/div>\n
<\/a><\/p>\n

(2) <\/span>   <\/span>\"\begin{equation*} <\/p>\n<\/div>\n

\u03a0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9:<\/span><\/div>\n
<\/a><\/p>\n

(3) <\/span>   <\/span>\"\begin{equation*} <\/p>\n<\/div>\n

\u0397 \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03b1 \u03c3\u03c7\u03ad\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b2\u0384 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u0394t \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7 (\u03b1\u03c6\u03bf\u03cd \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03bf\u03c1\u03c1\u03af\u03c8\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae):<\/span><\/div>\n
<\/a><\/p>\n

(4) <\/span>   <\/span>\"\begin{equation*} <\/p>\n<\/div>\n

\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03c4\u03bf \u03bf\u03c1\u03b9\u03b6\u03cc\u03bd\u03c4\u03b9\u03bf \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03ad\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03c4\u03ad\u03c4\u03bf\u03b9\u03b1\u03c2 \u03b2\u03bf\u03bb\u03ae\u03c2 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9:<\/span><\/div>\n
<\/a><\/p>\n

(5) <\/span>   <\/span>\"\begin{equation*} <\/p>\n<\/div>\n

\n

\u0395\u03af\u03bd\u03b1\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf \u03bd\u03b1 \u03c0\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b1\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 H=0 \u03c4\u03cc\u03c4\u03b5 \u03b7\u00a0(5<\/a>) \u03bc\u03b5\u03c4\u03b1\u03c0\u03af\u03c0\u03c4\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd (2<\/a>)<\/p>\n

\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03c4\u03bf \u03b6\u03b7\u03c4\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b3\u03b9\u03b1 \u03c0\u03bf\u03b9\u03b1 \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03b8 \u03bc\u03b5\u03b3\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b7\u00a0(5<\/a>).
\n\u0388\u03bd\u03b1\u03c2 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03ac\u03b3\u03c9\u03b3\u03bf \u03c4\u03bf\u03c5 R \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03b8 (dR\/d\u03b8) \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03ad\u03be\u03b9\u03c3\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5 \u03bc\u03b7\u03b4\u03ad\u03bd. \u0391\u03c5\u03c4\u03cc \u03cc\u03bc\u03c9\u03c2 \u03c0\u03b5\u03c1\u03b9\u03ad\u03c7\u03b5\u03b9 \u03b1\u03bd\u03c5\u03c0\u03ad\u03c1\u03b2\u03bb\u03b7\u03c4\u03b5\u03c2 \u03b4\u03c5\u03c3\u03ba\u03bf\u03bb\u03af\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03c4\u03ce\u03bd \u03bc\u03b1\u03c2.
\n\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03bc\u03c9\u03c2 \u03bd\u03b1 \u03b4\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bb\u03cd\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03b1\u03c0\u03bb\u03ac \u03ba\u03b1\u03b9 \u03bc\u03cc\u03bd\u03bf\u03bd \u03c4\u03bf\u03c5 Excel.<\/p>\n

\u03a4\u03bf \u0394\u03af\u03bb\u03b7\u03bc\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd: \u03b7 \u03bb\u03cd\u03c3\u03b7<\/i><\/span><\/h3>\n
\u03a4\u03ce\u03c1\u03b1 \u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03ad\u03c4\u03bf\u03b9\u03bc\u03bf\u03b9 \u03bd\u03b1 \u03c0\u03ac\u03bc\u03b5 \u03c3\u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1.<\/span><\/div>\n
\u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03b4\u03b5 \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 v0<\/sub>\u00a0\u03bc\u03b5 \u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03bf \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd \u03b5\u03b3\u03ba\u03b1\u03c4\u03b1\u03bb\u03b5\u03af\u03c0\u03b5\u03b9 \u03c4\u03bf \u03ba\u03bb\u03ae\u03bc\u03b1, \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1\u03c2 \u03c3\u03c4\u03b9\u03c2 \u03b4\u03cd\u03bf \u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03b9\u03c2: \u038c\u03c4\u03b1\u03bd \u03c4\u03bf \u03ba\u03bb\u03ae\u03bc\u03b1 \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03ba\u03cc\u03c1\u03c5\u03c6\u03b7 \u03b8\u03ad\u03c3\u03b7 (1) \u03ba\u03b1\u03b9 \u03cc\u03c4\u03b1\u03bd \u03ad\u03c7\u03b5\u03b9 \u03b3\u03c1\u03ac\u03c8\u03b5\u03b9 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b8 \u03c4\u03b7 \u03c3\u03c4\u03b9\u03b3\u03bc\u03ae \u03c0\u03bf\u03c5 \u03c4\u03bf \u03b5\u03b3\u03ba\u03b1\u03c4\u03b1\u03bb\u03b5\u03af\u03c0\u03b5\u03b9 \u03bf \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd (\u03b5\u03b9\u03ba. 2).<\/span><\/div>\n
\n

\"\"<\/p>\n

\u0395\u03b9\u03ba. 2<\/div>\n<\/div>\n
<\/a><\/p>\n

(6) <\/span>   <\/span>\"\begin{equation*} <\/p>\n<\/div>\n

\u039b\u03cd\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd\u00a0<\/span> (6<\/a>)<\/span> \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 v0<\/sub>\u00a0\u03ad\u03c7\u03bf\u03c5\u03bc\u03b5:<\/span><\/div>\n
\n

  <\/span>   <\/span>\"\[v_0= \sqrt{v^2-2gy_0} \]\"<\/p>\n<\/div>\n

\u0391\u03bb\u03bb\u03ac \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03b5\u03af\u03bd\u03b1\u03b9:<\/span><\/div>\n
\n

  <\/span>   <\/span>\"\[ y_0=L-L \cdot \sigma \upsilon \nu \theta \]\"<\/p>\n<\/div>\n

\u0397 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 v0<\/sub>\u00a0\u03b8\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9:<\/span><\/div>\n

<\/a><\/p>\n

(7) <\/span>   <\/span>\"\begin{equation*} <\/p>\n

\u0395\u03af\u03bd\u03b1\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf \u03bd\u03b1 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b1\u03c5\u03c4\u03cc \u03cc\u03c4\u03b9 \u03bf \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03b1\u03c1\u03ba\u03ae \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 v \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b5 \u03b8\u03ad\u03c3\u03b7 \u03bd\u03b1 \u03c0\u03b9\u03ac\u03c3\u03b5\u03b9 \u03bf\u03c0\u03bf\u03b9\u03b1\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b8 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd 00<\/sup>\u00a0\u03ba\u03b1\u03b9 900<\/sup>.<\/p>\n

\u03a4\u03bf \u03bf\u03c1\u03b9\u03b6\u03cc\u03bd\u03c4\u03b9\u03bf \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03ad\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b4\u03b9\u03b1\u03c6\u03c5\u03b3\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd (\u03ad\u03c3\u03c4\u03c9 R2<\/sub>) \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03bc\u03b5 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c4\u03b7\u03c2 v0<\/sub>\u00a0\u03b1\u03c0\u03cc \u03c4\u03b7\u03bd (7<\/a>) \u03c3\u03c4\u03b7\u03bd (5<\/a>). \u0397 \u03bb\u03cd\u03c3\u03b7 \u03c3\u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 – \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 R1<\/sub>\u00a0\u03c0\u03bf\u03c5 \u03c4\u03bf \u03bc\u03b5\u03c4\u03c1\u03ac\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03ba\u03cc\u03c1\u03c5\u03c6\u03b7 \u03b8\u03ad\u03c3\u03b7 (1), \u03b5\u03b9\u03ba. 2 – \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03bb\u03ac \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 L\u03b7\u03bc\u03b8+R2<\/sub>. \u03a4\u03bf \u03c4\u03b5\u03bb\u03b9\u03ba\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9:
\n<\/a><\/p>\n

(8) <\/span>   <\/span>\"\begin{equation*} <\/p>\n

\u038c\u03c0\u03bf\u03c5 \u03c3\u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 (7<\/a>) \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b8\u03ad\u03c3\u03b5\u03b9 H=h+y0<\/sub>=h+L-L\u03c3\u03c5\u03bd\u03b8. \u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03ad\u03c2, \u03c9\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1\u03c2 \u03b8, \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c3\u03c4\u03bf Excel \u03b8\u03ad\u03c4\u03bf\u03bd\u03c4\u03b1\u03c2 \u03bb\u03bf\u03b3\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c3\u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03bf\u03c5\u03c2 v, h \u03ba\u03b1\u03b9 L. \u0391\u03c0\u03cc \u03c4\u03b7 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ae \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b8\u03b1 \u03c6\u03b1\u03bd\u03b5\u03af \u03c3\u03b5 \u03c0\u03bf\u03b9\u03b1 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b8\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b7 \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03cc\u03c3\u03b7 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c5\u03c4\u03ae.<\/p>\n<\/div>\n

\u03a3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b3\u03b9\u03b1 v=10m\/s, h=1m \u03ba\u03b1\u03b9 L=3m.<\/span><\/div>\n
\"\"<\/div>\n
\u00a0<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\n
\u0391\u03c0\u03cc \u03b5\u03b4\u03ce \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03b5\u03c4\u03b5 \u03c4\u03bf \u03c6\u03cd\u03bb\u03bb\u03bf\u00a0<\/span><\/a><\/div>\n
\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03c3\u03c4\u03bf Excel<\/span><\/a><\/div>\n<\/div>\n
\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\u0397 \u03bc\u03b5\u03b3\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03ba\u03bf\u03bd\u03c4\u03ac \u03c3\u03c4\u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 400<\/sup>\u00a0, \u03b3\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03c9\u03bd \u03c0\u03bf\u03c5 \u03c6\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b9\u03bf \u03c0\u03ac\u03bd\u03c9.\u00a0<\/span><\/p>\n<\/div>\n

\u03a3\u03c4\u03bf \u03c6\u03cd\u03bb\u03bb\u03bf Excel \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b4\u03ce\u03c3\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c3\u03c4\u03b7 \u03b8 \u03b1\u03c0\u03cc 00<\/sup>\u00a0\u03ad\u03c9\u03c2 900<\/sup>, \u03bc\u03b5 \u03b2\u03ae\u03bc\u03b1 100<\/sup>. \u0391\u03c0\u03cc 300 <\/sup>\u00a0\u03ad\u03c9\u03c2 500<\/sup>\u00a0\u03b4\u03af\u03bd\u03bf\u03c5\u03bc\u03b5 \u03b2\u03ae\u03bc\u03b1 50<\/sup>\u00a0\u03b3\u03b9\u03b1\u03c4\u03af \u03c3’ \u03b1\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ae \u03b3\u03c9\u03bd\u03b9\u03ce\u03bd \u03b1\u03bd\u03b1\u03bc\u03ad\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03cc\u03c3\u03bf \u03bc\u03b9\u03ba\u03c1\u03b1\u03af\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03b2\u03ae\u03bc\u03b1 \u03c4\u03cc\u03c3\u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c4\u03c5\u03b3\u03c7\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5. \u0392\u03b5\u03b2\u03b1\u03af\u03c9\u03c2 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1, \u03c4\u03bf\u03bd\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c0\u03ac\u03bb\u03b9, \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c4\u03c5\u03b3\u03c7\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b5 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03c3\u03bc\u03cc \u03c4\u03b7\u03c2 \u03c0\u03c1\u03ce\u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b3\u03ce\u03b3\u03bf\u03c5 (dR1<\/sub>\/d\u03b8=0) \u03ba\u03b1\u03b9 \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03b8. \u03a4\u03bf\u03cd\u03c4\u03bf \u03cc\u03bc\u03c9\u03c2 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2, \u03c4\u03b9\u03c2 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03b4\u03b5\u03bd \u03b5\u03be\u03b5\u03c4\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03b5\u03b4\u03ce.\u00a0<\/span><\/div>\n
\u00a0<\/span><\/div>\n

\u0394\u03b9\u03b5\u03c1\u03b5\u03cd\u03bd\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bb\u03cd\u03c3\u03b7\u03c2<\/i><\/span><\/h3>\n
\u0391\u03c2 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03ce\u03c1\u03b1 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03bf\u03c1\u03b9\u03b1\u03ba\u03ad\u03c2 \u03c0\u03b5\u03c1\u03b9\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2.\u00a0<\/span><\/div>\n
\u0391\u03bd \u03b7 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd \u03c4\u03b7 \u03c3\u03c4\u03b9\u03b3\u03bc\u03ae \u03c0\u03bf\u03c5 \u03b3\u03c1\u03b1\u03c0\u03ce\u03bd\u03b5\u03b9 \u03c4\u03bf \u03ba\u03bb\u03ae\u03bc\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03c0\u03bf\u03bb\u03cd \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03bd\u03b1 \u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf, \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b4\u03b9\u03b1\u03c6\u03c5\u03b3\u03ae\u03c2 \u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b9\u03c2 450<\/sup>. \u0394\u03bf\u03ba\u03b9\u03bc\u03ac\u03c3\u03c4\u03b5 \u03c4\u03bf \u03c3\u03c4\u03bf\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c4\u03b9\u03bc\u03ce\u03bd \u03b2\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7 v \u03c0.\u03c7. 250m\/s. \u0391\u03bc\u03ad\u03c3\u03c9\u03c2 \u03b8\u03b1 \u03b4\u03b5\u03af\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03c3\u03c4\u03bf\u03bd \u03ba\u03ac\u03c4\u03c9 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c9\u03c2 \u03bb\u03cd\u03c3\u03b7 450<\/sup>,\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c0\u03b5\u03b9 \u03b7 \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03bc\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03b5\u03b3\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03bf\u03cd\u03c2 \u03c3\u03b5 \u03c0\u03bb\u03ac\u03b3\u03b9\u03b1 \u03b2\u03bf\u03bb\u03ae \u03c0\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03cd\u03c8\u03bf\u03c2 \u03bc\u03b7\u03b4\u03ad\u03bd. \u0391\u03c5\u03c4\u03cc \u03cc\u03bc\u03c9\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03b1\u03bc\u03b5\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03b3\u03b9\u03b1\u03c4\u03af \u00a0\u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03bf\u03c5 \u03a4\u03b1\u03c1\u03b6\u03ac\u03bd \u03b4\u03b5\u03bd \u03b5\u03c0\u03b9\u03c1\u03c1\u03b5\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03c4\u03bf\u03c5 \u03ba\u03bb\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b8 \u03b4\u03b5\u03bd \u03c0\u03b1\u03af\u03b6\u03b5\u03b9 \u03ba\u03b1\u03bd\u03ad\u03bd\u03b1\u03bd \u03c1\u03cc\u03bb\u03bf.<\/span><\/div>\n
\u039c\u03b9\u03b1 \u03ac\u03bb\u03bb\u03b7 \u03b4\u03b9\u03b1\u03c0\u03af\u03c3\u03c4\u03c9\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03c4\u03b9 \u03b1\u03bd \u03bc\u03b5\u03b9\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03cc\u03c1\u03b9\u03bf \u03bf\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03c7\u03af\u03b6\u03bf\u03c5\u03bd \u03bd\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03ba\u03b5\u03bd\u03ac. \u0386\u03c1\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03b5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03bf \u03cc\u03c1\u03b9\u03bf \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ba\u03ac\u03c4\u03c9 \u03c4\u03b7\u03c2 \u03bf\u03c0\u03bf\u03af\u03b1\u03c2 \u03c4\u03bf \u03ba\u03bb\u03ae\u03bc\u03b1 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03ad\u03b2\u03b5\u03b9 \u03bc\u03ad\u03c7\u03c1\u03b9 900<\/sup>. (\u0394\u03bf\u03ba\u03b9\u03bc\u03ac\u03c3\u03c4\u03b5 \u03c0.\u03c7. v=5m\/s). \u03a0\u03ce\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03b5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1\u03c2. \u03a0\u03bf\u03bb\u03cd \u03b1\u03c0\u03bb\u03ac, \u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1\u03c2 \u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c9\u03c2 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b4\u03b9\u03b1\u03c6\u03c5\u03b3\u03ae\u03c2 900<\/sup>\u00a0\u03ba\u03b1\u03b9 L=3m, \u03b5\u03bd\u03ce \u03c9\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03b4\u03b9\u03b1\u03c6\u03c5\u03b3\u03ae\u03c2 v0<\/sub>\u00a0\u03c0\u03b1\u03af\u03c1\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03bf\u03c1\u03b9\u03b1\u03ba\u03ae \u03c4\u03b9\u03bc\u03ae \u03bc\u03b7\u03b4\u03ad\u03bd. \u0388\u03c7\u03bf\u03c5\u03bc\u03b5:<\/span><\/div>\n
\n

  <\/span>   <\/span>\"\[ v_{min}= \sqrt {2gL}=7,67m/s \]\"<\/p>\n<\/div>\n

\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b3\u03b9\u03b1 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b5\u03c2 \u03ba\u03ac\u03c4\u03c9 \u03c4\u03bf\u03c5 7,67m\/s \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b4\u03b9\u03b1\u03c6\u03c5\u03b3\u03ae\u03c2 900<\/sup>.<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u03a4\u03b9 \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c4\u03c9\u03bd h \u03ba\u03b1\u03b9 L;<\/span><\/div>\n
\u0394\u03bf\u03ba\u03b9\u03bc\u03ac\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b2\u03ac\u03bb\u03b5\u03c4\u03b5 \u03c3\u03c4\u03bf L \u03c4\u03b9\u03bc\u03ad\u03c2 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b5\u03c2, \u03c0.\u03c7. 20m. \u0398\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03ba\u03b1\u03b9 \u03c0\u03ac\u03bb\u03b9 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b2\u03b5\u03bb\u03b7\u03bd\u03b5\u03ba\u03bf\u03cd\u03c2 \u03c7\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9. \u03a4\u03bf\u03cd\u03c4\u03bf \u03c3\u03c5\u03bc\u03b2\u03b1\u03af\u03bd\u03b5\u03b9 \u03b3\u03b9\u03b1\u03c4\u03af \u03cc\u03c3\u03bf \u03bc\u03b5\u03b3\u03b1\u03bb\u03ce\u03bd\u03b5\u03b9 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03bb\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 L \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03cc\u03bb\u03bf \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03ba\u03b9\u03bd\u03b7\u03c4\u03b9\u03ba\u03ae \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ac \u03b4\u03b5\u03bd \u03b5\u03c0\u03b1\u03c1\u03ba\u03b5\u03af \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b9\u03c3\u03bf\u03c3\u03c4\u03b1\u03b8\u03bc\u03af\u03c3\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1 \u03c0\u03bf\u03c5 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03b4\u03b9\u03b1\u03c6\u03c5\u03b3\u03ae \u03c3\u03b5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b3\u03c9\u03bd\u03af\u03b1.<\/span><\/div>\n
\u00a0<\/span><\/div>\n
\u0393\u03b9\u03b1 \u03c4\u03bf h \u03b8\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03ae\u03c3\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03cc\u03c3\u03bf \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03c4\u03b5, \u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b4\u03b9\u03b1\u03c6\u03c5\u03b3\u03ae\u03c2 \u03b8 \u03bc\u03b5\u03b9\u03ce\u03bd\u03b5\u03c4\u03b1\u03b9. \u039a\u03b1\u03b9 \u03b1\u03bd \u03c4\u03bf \u03cd\u03c8\u03bf\u03c2 h \u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf \u03ac\u03c0\u03b5\u03b9\u03c1\u03bf, \u03b7 \u03b3\u03c9\u03bd\u03af\u03b1 \u03b8\u03b1 \u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03bf \u03bc\u03b7\u03b4\u03ad\u03bd. \u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03bd\u03b1 \u03c0\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 “\u03cc\u03c3\u03bf \u03c0\u03b9\u03bf \u03c8\u03b7\u03bb\u03cc\u03c2 \u03b5\u03af\u03c3\u03b1\u03b9, \u03c4\u03cc\u03c3\u03bf \u03c0\u03b9\u03bf \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b1\u03c6\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c4\u03bf \u03ba\u03bb\u03ae\u03bc\u03b1”.<\/span><\/div>\n
<\/div>\n
<\/div>\n
\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u0393\u03b9\u03ac\u03bd\u03bd\u03b7\u03c2 \u0393\u03b1\u03ca\u03c3\u03af\u03b4\u03b7\u03c2<\/div>\n
gaisidis@viewonphysics.gr<\/a><\/div>\n
\"084d8930-f294-45d0-b352-2acd918a7bd2\"<\/a><\/div>\n
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\u039a\u03c1\u03ac\u03c4\u03b1 \u03c4\u03bf<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

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