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goldenfeld-1 - {—72 a “:— x w M75 W WLA— M1 TMQJ...

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Unformatted text preview: {—72 a “#:— x w: M75. W_ WLA— M1; TMQJ M444 #3 , thugf ‘ ——~7 ' ' ‘27 R(T=3¢-m JE— 5‘ ‘Mflw E ‘ _ (5Q ‘fm 7- E Ez KID/0'5 ia'mVA-‘L 0mm TNT ,6? Hana"? m Goldenfeld Chapter 1.1 Exercise 1—2 data from Table 1.1 on radius R (in meters) of blast wave after time T (in microseconds) mm}: blastwave - Lieu {0.10, 11.1}, {0.24, 19.9}, {0.30, 25.4}, {0.52, 28.8}, {0.66, 31.9}, {0.00, 34.2}, {0.94, 36.3}, {1.00, 36.9}, {1.22, 41.0}, {1.36, 42.3}, {1.50, 44.4}, {1.65, 46.0}, {1.19, 46.9}, {1.93, 48.1}, {3.26, 59.0}, {3.53, 61.1}, {3.60, 62.9}, {4.07, 64.3}, {4.34, 65.6}, {4.61, 61.3}, {15.0, 106.5}, {25.0, 130.0}, {34.0, 145.0}, {53.0, 115.0}, {62.0, 185.01]; ln[2};= LiltPlot[blnstuava] 0mm}: {SIC 2 1 goldenfeld-Imb ln1311= data I Liatmgmrlotmlastwave] 150 100 70 0003}: 0.5 1.0 5.0 10.0 50.0 make a log—log fit of the blast wave data mm: length = Lengthla-hrava] blnntwavemgIBQ : Table[{1.og[b1astwave[[i, 11]] , Ing[b1astwave[[i, 211]}, {1, 1., length”; 0mm: 25 ln[5]I= fit I Pindl'ifiblastwaveLOQLog, a + (2 I 5) x, {a}, x] 0u1[61= [ct-93.59557] mm: afit - a I. fit 0mm: 3.59557 lnfa}: curve - LogLogPlot[lxp[a£it1 t“ (2 l 5) , (t, 0.1, 1'01] ; show[dnta, curve] 150 100 70 50 0mm]: 30 20 15 0.5 1.0 5.0 10.0 50.0 estimate energy released in blast in Joules and in tons of TNT mm]: (36.4m) *5 I (10" (-3) s) ‘2 * (1.28 kgln“3) 3.17931x1013 1:ng 52 "11111;: 96/ (4.2:- 10‘9kgwm‘2 ls‘Z) 0mm]: 0mm]: 19474.6 ,L—za ...
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