Your 'rubber band calibration' report 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: **
5 3/8 in, 5 1/8 in
3 in
Measured the length of the actual rubber band. It is marked number one.
** The basis for your uncertainty estimate: **
I believe the paperclips could have played a role in the net length of the rubber band.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
4 7/8, 4 7/8
3 - II
End
4 7/8, 4 7/8
3 - III
End
5 1/4, 5 1/4
3 1/8 - IV
End
** Distances between ends when supporting 2 dominoes **
3, 3, 2 15/16, 3 1/8
Results of the weight of two dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
3 1/4, 3 1/8, 3 1/8, 3 1/4
4
3 3/8, 3 1/4, 3 1/4, 3 3/8
6
3 5/8, 3 3/8, 3 3/8, 3 5/8
8
3 15/16, 3 5/8, 3 5/8, 3 15/16
10
End
** Your table of force in Newtons vs. length in cm for all rubber bands **
3, 3, 3, 3 1/8, 0.19
3, 3, 2 15/16, 3 1/8, 0.38
3 1/4, 3 1/8, 3 1/8, 3 1/4, 0.76
3 3/8, 3 1/4, 3 1/4, 3 3/8, 1.14
3 5/8, 3 3/8, 3 3/8, 3 5/8, 1.52
3 15/16, 3 5/8, 3 5/8, 3 15/16, 1.9
End
** Describe the graph of your first rubber band **
I - Increasing at a decreasing rate
II - Increasing at a constant rate
III - Increasing at a constant rate
IV - Inreasing at a decreasing rate
End
** The tension force in your first rubber band at length 9.8 cm: **
1.71 Newtons
** The length of your first rubber band when tension is 1.4 N: **
8.89 cm
** 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: **
3, 0.19
3, 0.38
3 1/4, 0.76
3 3/8, 1.14
3 5/8, 1.52
3 15/16, 1.9
** 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: **
3, 0.19
3, 0.38
3 1/4, 0.76
3 3/8, 1.14
3 5/8, 1.52
3 15/16, 1.9
** The typical error you estimate when predicting force for a given length from your graphs: **
I would trust the graph more than the values in my table because the graph would be a better overall estimate.
** The typical error you estimate when predicting length for a given force from your graphs: **
+- 1/16
** **
40 minutes
** **
You would have been better off measuring lengths in cm, but your data appears to be good.