Your work on rubber band calibration has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
Your initial comment (if any):
first line ruler markings, distance in actual cm between ends, how obtained:
8, 34.7
7.28
This number is in cm and was obtained by subtracting the first two numbers and dividing by 3.667, the number of paper cm in an actual cm on the middle triply reduced ruler. This number is probably accurate to +/- .06cm.
The basis for your uncertainty estimate:
If each number is off by .1 cm, the result for example would be the difference between 34.8 and 7.9 which would equal 26.9. If we divide the 26.9 by 3.667. We get about 7.34, which is .06 cm away from the 7.28 cm.
Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino:
8, 34.7
2, 28.7
3, 29.8
1, 27.7
6, 32.4
3, 29.9
End
7.28, 7.28, 7.31, 7.28, 7.20, 7.36
1, 2, 3, 4, 5, 6
+/-.06cm
Distances between ends when supporting 2 dominoes
7.55, 7.47, 7.44, 7.47, 7.42, 7.39
These results are recorded in cm and correspond to the weight of two dominoes.
Lengths when supporting 4, 6, ... dominoes:
7.80, 7.88, 7.55, 7.69, 7.69, 7.83
4
8.02, 7.83, 7.83, 7.85, 7.88, 7.88
6
8.24, 8.04, 8.04, 8.10, 8.10, 8.10
8
8.51, 8.29, 8.32, 8.54, 8.32, 8.37
10
The rubber bands never stretched over 30% of the original length, even after the addition of 10 dominoes.
Your table of force in Newtons vs. length in cm for all rubber bands
7.28, 7.28, 7.31, 7.28, 7.20, 7.36, .19
7.55, 7.47, 7.44, 7.47, 7.42, 7.39, .38
7.80, 7.88, 7.55, 7.69, 7.69, 7.83, .76
8.02, 7.83, 7.83, 7.85, 7.88, 7.88, 1.14
8.24, 8.04, 8.04, 8.10, 8.10, 8.10, 1.52
8.51, 8.29, 8.32, 8.54, 8.32, 8.37, 1.9
End
The first column is the lenght in cm of the first rubber band. The next 5 columns are the lengths of the next five rubber bands. The last number is the force in Newtons. All lengths are recorded in cm.
Describe the graph of your first rubber band
The graph of the first rubber band is increasing at an increasing rate throughout.
The second graph is increasing at an increasing rate throughout.
The third graph is increasing at an increasing rate, then increases at a decreasing rate.
The fourth graph is increasing at an increasing rate throughout.
The fifth graph is increasing at an increasing rate throughout.
The sixth graph is increasing at an increasing rate throughout.
End
The tension force in your first rubber band at length 9.8 cm:
3.7
The length of your first rubber band when tension is 1.4 N:
8.2
The forces at your observed lengths the 1st rubber band, as given by the curve, and the deviations of those curve-predicted lengths from the observed lengths:
.17, .48, .8, 1.3, 1.5, 1.9
.02, .10, .04, .16, .02, 0
The lengths predicted for forces .19 N, .38 N, .76 N, 1.14 N, etc. by the curve for your first rubber band; the deviations of your actual observations from these predictions:
7.35, 7.48, 7.78, 8.00, 8.33, 8.51
.07, .07, .02, .02, .09, 0
The typical error you estimate when predicting force for a given length from your graphs:
I have more faith in the curve, the uncertainty would probably be around +/- .06. This is because the difference in the Newtons from the curve and the actual values were averaged to be about .06 N.
The typical error you estimate when predicting length for a given force from your graphs:
The uncertainty would be about +/-0.05 cm, because this is the average difference between the observed value and the curve value.
Your report has been received. We will be discussing this and other data reports online after the due dates.