Pop Bottles

Soda Bottle Hiss Model

4/20/2010 dt 0.01 b 1 alpha

William Roll a 0.5 c 10 q

t-half

Opening beta

t B P F A

0 0 0.1 0 0

0.01 0.000364 0.1 3.64E-05 0.000364 0.2

0.02 0.00086 0.099982 8.6E-05 0.00086 0.18

0.03 0.001536 0.099939 0.000154 0.001535 0.16









Apmitude of Noise

0.04 0.002457 0.099862 0.000245 0.002454 0.14

0.05 0.003711 0.099739 0.00037 0.003701 0.12

0.06 0.005417 0.099554 0.000539 0.005393 0.1

0.07 0.007735 0.099285 0.000768 0.00768 0.08

0.08 0.010881 0.098901 0.001076 0.010761 0.06

0.09 0.01514 0.098363 0.001489 0.014892 0.04

0.1 0.020893 0.097618 0.00204 0.020396 0.02

0.11 0.028636 0.096598 0.002766 0.027662 0

0.12 0.039004 0.095215 0.003714 0.037138 0 0.5 1

0.13 0.052799 0.093358 0.004929 0.049292

0.14 0.070994 0.090894 0.006453 0.064529

0.15 0.094722 0.087667 0.008304 0.08304

0.16 0.125206 0.083515 0.010457 0.104566

0.17 0.163634 0.078287 0.01281 0.128104 1.2

0.18 0.210928 0.071882 0.015162 0.151619

1

0.19 0.267448 0.064301 0.017197 0.171971

0.2 0.332667 0.055702 0.01853 0.185303 0.8

0.21 0.40495 0.046437 0.018805 0.188047

0.22 0.481568 0.037035 0.017835 0.178347 0.6

0.23 0.559038 0.028117 0.015719 0.157186 0.4

0.24 0.633717 0.020258 0.012838 0.128379

0.25 0.702469 0.013839 0.009722 0.097215 0.2

0.26 0.763132 0.008978 0.006852 0.068516

0

0.27 0.814684 0.005553 0.004524 0.045235

0 0.5

0.28 0.857115 0.003291 0.002821 0.028205

0.29 0.891127 0.00188 0.001676 0.016757

0.3 0.917818 0.001043 0.000957 0.009569

0.31 0.938418 0.000564 0.000529 0.005294

0.32 0.954112 0.000299 0.000286 0.002857

0.33 0.965951 0.000157 0.000151 0.001513

0.34 0.974816 8.1E-05 7.89E-05 0.000789

0.35 0.981418 4.15E-05 4.07E-05 0.000407

0.36 0.986313 2.11E-05 2.08E-05 0.000208

0.37 0.989932 1.07E-05 1.06E-05 0.000106

0.38 0.992601 5.41E-06 5.37E-06 5.37E-05

0.39 0.994567 2.73E-06 2.71E-06 2.71E-05

0.4 0.996012 1.37E-06 1.36E-06 1.36E-05

0.41 0.997074 6.88E-07 6.86E-07 6.86E-06

0.42 0.997854 3.45E-07 3.44E-07 3.44E-06

0.43 0.998426 1.73E-07 1.73E-07 1.73E-06

0.44 0.998846 8.65E-08 8.64E-08 8.64E-07

0.45 0.999154 4.33E-08 4.33E-08 4.33E-07

0.46 0.99938 2.17E-08 2.17E-08 2.17E-07

0.47 0.999545 1.08E-08 1.08E-08 1.08E-07

0.48 0.999667 5.43E-09 5.42E-09 5.42E-08

0.49 0.999756 2.71E-09 2.71E-09 2.71E-08

0.5 0.999821 1.36E-09 1.36E-09 1.36E-08

0.51 0.999869 6.79E-10 6.79E-10 6.79E-09

0.52 0.999904 3.39E-10 3.39E-10 3.39E-09

0.53 0.99993 1.7E-10 1.7E-10 1.7E-09

0.54 0.999948 8.49E-11 8.49E-11 8.49E-10

0.55 0.999962 4.24E-11 4.24E-11 4.24E-10

0.56 0.999972 2.12E-11 2.12E-11 2.12E-10

0.57 0.99998 1.06E-11 1.06E-11 1.06E-10

0.58 0.999985 5.3E-12 5.3E-12 5.3E-11

0.59 0.999989 2.65E-12 2.65E-12 2.65E-11

0.6 0.999992 1.33E-12 1.33E-12 1.33E-11

0.61 0.999994 6.63E-13 6.63E-13 6.63E-12

0.62 0.999996 3.32E-13 3.32E-13 3.32E-12

0.63 0.999997 1.66E-13 1.66E-13 1.66E-12

0.64 0.999998 8.29E-14 8.29E-14 8.29E-13

0.65 0.999998 4.14E-14 4.14E-14 4.14E-13

0.66 0.999999 2.07E-14 2.07E-14 2.07E-13

0.67 0.999999 1.04E-14 1.04E-14 1.04E-13

0.68 0.999999 5.18E-15 5.18E-15 5.18E-14

0.69 1 2.59E-15 2.59E-15 2.59E-14

0.7 1 1.3E-15 1.3E-15 1.3E-14

0.71 1 6.48E-16 6.48E-16 6.48E-15

0.72 1 3.24E-16 3.24E-16 3.24E-15

0.73 1 1.62E-16 1.62E-16 1.62E-15

0.74 1 8.09E-17 8.09E-17 8.09E-16

0.75 1 4.05E-17 4.05E-17 4.05E-16

0.76 1 2.02E-17 2.02E-17 2.02E-16

0.77 1 1.01E-17 1.01E-17 1.01E-16

0.78 1 5.06E-18 5.06E-18 5.06E-17

0.79 1 2.53E-18 2.53E-18 2.53E-17

0.8 1 1.26E-18 1.26E-18 1.26E-17

0.81 1 6.32E-19 6.32E-19 6.32E-18

0.82 1 3.16E-19 3.16E-19 3.16E-18

0.83 1 1.58E-19 1.58E-19 1.58E-18

0.84 1 7.9E-20 7.9E-20 7.9E-19

0.85 1 3.95E-20 3.95E-20 3.95E-19

0.86 1 1.98E-20 1.98E-20 1.98E-19

0.87 1 9.88E-21 9.88E-21 9.88E-20

0.88 1 4.94E-21 4.94E-21 4.94E-20

0.89 1 2.47E-21 2.47E-21 2.47E-20

0.9 1 1.24E-21 1.24E-21 1.24E-20

0.91 1 6.18E-22 6.18E-22 6.18E-21

0.92 1 3.09E-22 3.09E-22 3.09E-21

0.93 1 1.54E-22 1.54E-22 1.54E-21

0.94 1 7.72E-23 7.72E-23 7.72E-22

0.95 1 3.86E-23 3.86E-23 3.86E-22

0.96 1 1.93E-23 1.93E-23 1.93E-22

0.97 1 9.65E-24 9.65E-24 9.65E-23

0.98 1 4.82E-24 4.82E-24 4.82E-23

0.99 1 2.41E-24 2.41E-24 2.41E-23

1 1 1.21E-24 1.21E-24 1.21E-23

1.01 1 6.03E-25 6.03E-25 6.03E-24

1.02 1 3.02E-25 3.02E-25 3.02E-24

1.03 1 1.51E-25 1.51E-25 1.51E-24

1.04 1 7.54E-26 7.54E-26 7.54E-25

1.05 1 3.77E-26 3.77E-26 3.77E-25

1.06 1 1.88E-26 1.88E-26 1.88E-25

1.07 1 9.42E-27 9.42E-27 9.42E-26

1.08 1 4.71E-27 4.71E-27 4.71E-26

1.09 1 2.36E-27 2.36E-27 2.36E-26

1.1 1 1.18E-27 1.18E-27 1.18E-26

1.11 1 5.89E-28 5.89E-28 5.89E-27

1.12 1 2.94E-28 2.94E-28 2.94E-27

1.13 1 1.47E-28 1.47E-28 1.47E-27

1.14 1 7.36E-29 7.36E-29 7.36E-28

1.15 1 3.68E-29 3.68E-29 3.68E-28

1.16 1 1.84E-29 1.84E-29 1.84E-28

1.17 1 9.2E-30 9.2E-30 9.2E-29

1.18 1 4.6E-30 4.6E-30 4.6E-29

1.19 1 2.3E-30 2.3E-30 2.3E-29

1.2 1 1.15E-30 1.15E-30 1.15E-29

1.21 1 5.75E-31 5.75E-31 5.75E-30

1.22 1 2.88E-31 2.88E-31 2.88E-30

1.23 1 1.44E-31 1.44E-31 1.44E-30

1.24 1 7.19E-32 7.19E-32 7.19E-31

1.25 1 3.59E-32 3.59E-32 3.59E-31

1.26 1 1.8E-32 1.8E-32 1.8E-31

1.27 1 8.99E-33 8.99E-33 8.99E-32

1.28 1 4.49E-33 4.49E-33 4.49E-32

1.29 1 2.25E-33 2.25E-33 2.25E-32

1.3 1 1.12E-33 1.12E-33 1.12E-32

1.31 1 5.62E-34 5.62E-34 5.62E-33

1.32 1 2.81E-34 2.81E-34 2.81E-33

1.33 1 1.4E-34 1.4E-34 1.4E-33

1.34 1 7.02E-35 7.02E-35 7.02E-34

1.35 1 3.51E-35 3.51E-35 3.51E-34

1.36 1 1.76E-35 1.76E-35 1.76E-34

1.37 1 8.78E-36 8.78E-36 8.78E-35

1.38 1 4.39E-36 4.39E-36 4.39E-35

1.39 1 2.19E-36 2.19E-36 2.19E-35

1.4 1 1.1E-36 1.1E-36 1.1E-35

1.41 1 5.48E-37 5.48E-37 5.48E-36

1.42 1 2.74E-37 2.74E-37 2.74E-36

1.43 1 1.37E-37 1.37E-37 1.37E-36

1.44 1 6.86E-38 6.86E-38 6.86E-37

1.45 1 3.43E-38 3.43E-38 3.43E-37

1.46 1 1.71E-38 1.71E-38 1.71E-37

1.47 1 8.57E-39 8.57E-39 8.57E-38

1.48 1 4.29E-39 4.29E-39 4.29E-38

1.49 1 2.14E-39 2.14E-39 2.14E-38

1.5 1 1.07E-39 1.07E-39 1.07E-38

1.51 1 5.36E-40 5.36E-40 5.36E-39

1.52 1 2.68E-40 2.68E-40 2.68E-39

1.53 1 1.34E-40 1.34E-40 1.34E-39

1.54 1 6.7E-41 6.7E-41 6.7E-40

1.55 1 3.35E-41 3.35E-41 3.35E-40

1.56 1 1.67E-41 1.67E-41 1.67E-40

1.57 1 8.37E-42 8.37E-42 8.37E-41

1.58 1 4.18E-42 4.18E-42 4.18E-41

1.59 1 2.09E-42 2.09E-42 2.09E-41

1.6 1 1.05E-42 1.05E-42 1.05E-41

1.61 1 5.23E-43 5.23E-43 5.23E-42

1.62 1 2.62E-43 2.62E-43 2.62E-42

1.63 1 1.31E-43 1.31E-43 1.31E-42

1.64 1 6.54E-44 6.54E-44 6.54E-43

1.65 1 3.27E-44 3.27E-44 3.27E-43

1.66 1 1.63E-44 1.63E-44 1.63E-43

1.67 1 8.17E-45 8.17E-45 8.17E-44

1.68 1 4.09E-45 4.09E-45 4.09E-44

1.69 1 2.04E-45 2.04E-45 2.04E-44

1.7 1 1.02E-45 1.02E-45 1.02E-44

1.71 1 5.11E-46 5.11E-46 5.11E-45

1.72 1 2.55E-46 2.55E-46 2.55E-45

1.73 1 1.28E-46 1.28E-46 1.28E-45

1.74 1 6.39E-47 6.39E-47 6.39E-46

1.75 1 3.19E-47 3.19E-47 3.19E-46

1.76 1 1.6E-47 1.6E-47 1.6E-46

1.77 1 7.98E-48 7.98E-48 7.98E-47

1.78 1 3.99E-48 3.99E-48 3.99E-47

1.79 1 2E-48 2E-48 2E-47

1.8 1 9.98E-49 9.98E-49 9.98E-48

1.81 1 4.99E-49 4.99E-49 4.99E-48

1.82 1 2.49E-49 2.49E-49 2.49E-48

1.83 1 1.25E-49 1.25E-49 1.25E-48

1.84 1 6.24E-50 6.24E-50 6.24E-49

1.85 1 3.12E-50 3.12E-50 3.12E-49

1.86 1 1.56E-50 1.56E-50 1.56E-49

1.87 1 7.79E-51 7.79E-51 7.79E-50

1.88 1 3.9E-51 3.9E-51 3.9E-50

1.89 1 1.95E-51 1.95E-51 1.95E-50

1.9 1 9.74E-52 9.74E-52 9.74E-51

1.91 1 4.87E-52 4.87E-52 4.87E-51

1.92 1 2.44E-52 2.44E-52 2.44E-51

1.93 1 1.22E-52 1.22E-52 1.22E-51

1.94 1 6.09E-53 6.09E-53 6.09E-52

1.95 1 3.04E-53 3.04E-53 3.04E-52

1.96 1 1.52E-53 1.52E-53 1.52E-52

1.97 1 7.61E-54 7.61E-54 7.61E-53

1.98 1 3.81E-54 3.81E-54 3.81E-53

1.99 1 1.9E-54 1.9E-54 1.9E-53

2 1 9.51E-55 9.51E-55 9.51E-54

2.01 1 4.76E-55 4.76E-55 4.76E-54

2.02 1 2.38E-55 2.38E-55 2.38E-54

2.03 1 1.19E-55 1.19E-55 1.19E-54

2.04 1 5.95E-56 5.95E-56 5.95E-55

2.05 1 2.97E-56 2.97E-56 2.97E-55

2.06 1 1.49E-56 1.49E-56 1.49E-55

2.07 1 7.43E-57 7.43E-57 7.43E-56

2.08 1 3.72E-57 3.72E-57 3.72E-56

2.09 1 1.86E-57 1.86E-57 1.86E-56

2.1 1 9.29E-58 9.29E-58 9.29E-57

2.11 1 4.65E-58 4.65E-58 4.65E-57

2.12 1 2.32E-58 2.32E-58 2.32E-57

2.13 1 1.16E-58 1.16E-58 1.16E-57

2.14 1 5.81E-59 5.81E-59 5.81E-58

2.15 1 2.9E-59 2.9E-59 2.9E-58

2.16 1 1.45E-59 1.45E-59 1.45E-58

2.17 1 7.26E-60 7.26E-60 7.26E-59

2.18 1 3.63E-60 3.63E-60 3.63E-59

2.19 1 1.81E-60 1.81E-60 1.81E-59

2.2 1 9.07E-61 9.07E-61 9.07E-60

2.21 1 4.54E-61 4.54E-61 4.54E-60

2.22 1 2.27E-61 2.27E-61 2.27E-60

2.23 1 1.13E-61 1.13E-61 1.13E-60

2.24 1 5.67E-62 5.67E-62 5.67E-61

2.25 1 2.84E-62 2.84E-62 2.84E-61

2.26 1 1.42E-62 1.42E-62 1.42E-61

2.27 1 7.09E-63 7.09E-63 7.09E-62

2.28 1 3.54E-63 3.54E-63 3.54E-62

2.29 1 1.77E-63 1.77E-63 1.77E-62

2.3 1 8.86E-64 8.86E-64 8.86E-63

2.31 1 4.43E-64 4.43E-64 4.43E-63

2.32 1 2.22E-64 2.22E-64 2.22E-63

2.33 1 1.11E-64 1.11E-64 1.11E-63

2.34 1 5.54E-65 5.54E-65 5.54E-64

2.35 1 2.77E-65 2.77E-65 2.77E-64

2.36 1 1.38E-65 1.38E-65 1.38E-64

2.37 1 6.92E-66 6.92E-66 6.92E-65

2.38 1 3.46E-66 3.46E-66 3.46E-65

2.39 1 1.73E-66 1.73E-66 1.73E-65

2.4 1 8.65E-67 8.65E-67 8.65E-66

2.41 1 4.33E-67 4.33E-67 4.33E-66

2.42 1 2.16E-67 2.16E-67 2.16E-66

2.43 1 1.08E-67 1.08E-67 1.08E-66

2.44 1 5.41E-68 5.41E-68 5.41E-67

2.45 1 2.7E-68 2.7E-68 2.7E-67

2.46 1 1.35E-68 1.35E-68 1.35E-67

2.47 1 6.76E-69 6.76E-69 6.76E-68

2.48 1 3.38E-69 3.38E-69 3.38E-68

2.49 1 1.69E-69 1.69E-69 1.69E-68

2.5 1 8.45E-70 8.45E-70 8.45E-69

2.51 1 4.23E-70 4.23E-70 4.23E-69

2.52 1 2.11E-70 2.11E-70 2.11E-69

2.53 1 1.06E-70 1.06E-70 1.06E-69

1

31.07304 Variance 0.000952

0.2 Standard Deviation 0.030848

0.001

3



1.2



1



0.8



0.6



0.4



0.2



0

1.5 2 2.5 3

Time Elapsed





B









B









0.5 1 1.5 2 2.5 3