integration v03

integration v03 - Numerical Integration using Trapeziod...

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Numerical Integration using Trapeziod Rule wuth Unequally Spaced Data Taken from Gottfried t (sec) v (volts) delta t avg v area 0 0 0.005 6 0.03 0.005 12 0.005 15.5 0.0775 0.01 19 0.01 24.5 0.245 0.02 30 0.01 34 0.34 0.03 38 0.01 41.5 0.415 0.04 45 0.01 47 0.47 0.05 49 0.01 49.5 0.495 0.06 50 0.01 49.5 0.495 0.07 49 0.01 48 0.48 0.08 47 0.01 46 0.46 0.09 45 0.01 43.5 0.435 0.1 42 0.02 39 0.78 0.12 36 0.02 34.5 0.69 0.14 33 0.02 31.5 0.63 0.16 30 0.02 28.5 0.57 0.18 27 0.05 24 1.2 0.23 21 0.05 18.5 0.925 0.28 16 0.1 12.5 1.25 0.38 9 0.12 6.5 0.78 0.5 4 sum 10.7675 trapezoid ### using VBA trapezoid function 0 0.1 0.2 0.3 0.4 0.5 0.6 0 10 20 30 40 50 60 Voltage over time time (sec) volts
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Trapeziod Rule with Equal Spaced Data Taken from Gottfried t (sec) Temperature (K) delta t avg Tempe area 0 300 5 330 1650 5 360 5 390 1950 10 420 5 450 2250 15 480 5 510 2550 20 540 5 570 2850 25 600 5 630 3150 30 660 5 690 3450 35 720 5 750 3750 40 780 5 810 4050 45 840 5 870 4350 50 900 5 930 4650 55 960 5 990 4950 60 1020 5 1050 5250 65 1080 5 1110 5550 70 1140 5 1170 5850 75 1200 5 1230 6150 80 1260 5 1290 6450 85 1320 5 1350 6750 90 1380 5 1410 7050 95 1440 5 1470 7350 100 1500 sum 90000 using unequal spaced approach
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This note was uploaded on 01/01/2012 for the course CEE 3804 taught by Professor Aatrani during the Spring '07 term at Virginia Tech.

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integration v03 - Numerical Integration using Trapeziod...

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