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: **
0,6.95
6.95
I placed my ruler alongside the top rubber band and took down the measurements for the top and bottom of this rubber band.
This is band 1.
I think the measurements are accurate to+-.1cm.
** The basis for your uncertainty estimate: **
I believe that the most likely length will be between 6.90 and 7.0 because the length falls between these numbers.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
0,6.95
0.25,6.75
0.31,6.91
1.10,7.90
0.29,6.45
2.21,8.62
End
6.90,6.50,6.60,6.80,6.16,6.41
1,2,3,4,5,6
I feel that the uncertainty lies between +-.1cm.
** Distances between ends when supporting 2 dominoes **
7.12,7.16,7.38,7.42,7.28,7.1
These are the lengths of the rubber bands that were holding up two dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
7.18,7.25,7.28,7.5,7.28,7.29
four
7.42,7.52,7.48,7.68,7.37,7.35
six
7.46,7.67,7.85,7.92,7.51,7.62
eight
7.62,7.81,7.92,8.11,7.62,7.67
ten
7.82,7.85,8.32,8.31,7.84,8.12
twelve
7.84,8.21,8.34,8.36,8.23,8.28
fourteen
8.10,8.38,8.37,8.56,8.32,8.31
sixteen
8.18,8.61,8.78,8.92,8.56,8.59
eighteen
end
** Your table of force in Newtons vs. length in cm for all rubber bands **
6.90,6.50,6.60,6.80,6.16,6.41,.19
7.12,7.16,7.38,7.42,7.28,7.1,.38
7.18,7.25,7.28,7.5,7.28,7.29,.76
7.42,7.52,7.48,7.68,7.37,7.35,1.14
7.46,7.67,7.85,7.92,7.51,7.62,1.52
7.62,7.81,7.92,8.11,7.62,7.67,1.90
7.82,7.85,8.32,8.31,7.84,8.12,2.28
7.84,8.21,8.34,8.36,8.23,8.28,2.66
8.10,8.38,8.37,8.56,8.32,8.31,3.04
8.18,8.61,8.78,8.92,8.56,8.59,3.42
Each column represents the lengths of the rubber bands in cm and the force on the bands. The bands are in order 1-6 with the force in Newtons as the last entry. There is a gravitational force equal to .19N for each dominoe.
** Describe the graph of your first rubber band **
increasing at a decreasing rate, then increasing at an increasing rate
increasing at a decreasing rate, then increasing at an increasing rate
increasing at a decreasing rate, then increasing at an increasing rate
increasing at a decreasing rate throughout
increasing at a decreasing rate, then increasing at an increasing rate
increasing at a decreasing rate, then increasing at an increasing rate
end
Band 1 Band 2 Band 3 Band 4 Band 5 Band6 Force
6.92 6.50 6.60 6.80 6.20 6.40 .19
7.12 7.16 7.38 7.42 7.28 7.10 .38
7.18 7.25 7.28 7.51 7.28 7.29 .76
7.42 7.52 7.48 7.68 7.37 7.35 1.14
7.46 7.67 7.85 7.92 7.51 7.62 1.52
7.62 7.81 7.92 8.10 7.62 7.67 1.90
7.82 7.85 8.32 8.31 7.84 8.12 2.28
7.85 8.21 8.34 8.36 8.23 8.28 2.66
8.10 8.38 8.37 8.56 8.32 8.31 3.04
8.18 8.61 8.78 8.92 8.56 8.59 3.42
** The tension force in your first rubber band at length 9.8 cm: **
4.5N
** The length of your first rubber band when tension is 1.4 N: **
7.4cm
** 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: **
.25,.4,.75,1.15,1.55,1.85,2.25,2.85,3.25,3.65
31%,5.3%,1.3%,.87%,1.97%,2.6%,1.3%, 7.1%,6.9%,6.7%
** 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: **
6.5,6.6,6.9,7.2,7.4,7.6,7.8,8.1,8.4,8.6
5.8%,7.3%,3.9%,2.9%,.81%,.26%,.26%,3.2%,3.7%,5.1%
** The typical error you estimate when predicting force for a given length from your graphs: **
The values reported in the curve because the curve is based on the data points.
+-.23N because this is the largest difference between my estimate from the graph and the force from calculating .19 for each dominoe.
** The typical error you estimate when predicting length for a given force from your graphs: **
+-.52cm This is the largest difference between my estimates from the graph and my observed values
** **
3hours, 20 minutes
** **
&#Very good work. Let me know if you have questions. &#