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: **
10 cm, 17.11cm
5.61cm, 5.22cm, 6.21cm, 6.09cm
the second line indicates the lengths between the 4 rubber bands, marked with a permanent marker. this should be accurate to about .05 cm
** The basis for your uncertainty estimate: **
i couldn't hold the ruler perfectly still, and i couldn't visually see the perfectly exact length of the rubber band
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
10cm, 17.11cm
22.73, 29.95
36.16, 43.37
49.46, 56.05
uncertainty - .05 cm
** Distances between ends when supporting 2 dominoes **
7.30, 7.25, 7.32, 7.12
** Lengths when supporting 4, 6, ... dominoes: **
7.60, 7.62, 7.55, 7.28
4
7.98, 7.95, 7.80, 7.50
6
8.35, 8.30, 8.01, 7.60
8
8.80, 8.65, 8.20, 7.75
10
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.11, 7.22, 7.21, 7.09, .19
7.30, 7.25, 7.32, 7.12, .38
7.45, 7.49, 7.40, 7.20, .57
7.60, 7.62, 7.55, 7.28, .76
7.98, 7.95, 7.80, 7.50, 1.14
8.35, 8.30, 8.01, 7.60, 1.52
8.80, 8.65, 8.20, 7.75, 1.90
end
** Describe the graph of your first rubber band **
the curve goes from the bottom left to the top right, it seems to be increasing at an increasing rate
the second seems to be increasing at a less increasing rate
the third seems to be increasing at a constant rate
the fourth seems to be increasing at a decreasing rate
end
** The tension force in your first rubber band at length 9.8 cm: **
3.1 Newtons
** The length of your first rubber band when tension is 1.4 N: **
8.18cm
** 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: **
2.09, 2.28, 2.66, 3.04, 3.42
this was fairly close, using the best fit line I was able to guess pretty close to the actual observations
** 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: **
7.20, 7.50, 7.70, 8.00
7.11, 7.30, 7.60, 7.98 are my actual observations so they varied only slightly
** The typical error you estimate when predicting force for a given length from your graphs: **
i actually have learned to value the curve quite a bit, it's useful
my uncertainty, judging from this experiment, would be around +-.08 N
** The typical error you estimate when predicting length for a given force from your graphs: **
i would estimate uncertainty to be about .10 cm, i'm just going by what i guessed on the curves and then actually measuring it
** **
nearly 2 hours
** **
Your work looks very good. Let me know if you have any questions.