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: **
10,17.14
7.14
I got this number from subtracting the measurement reading at the beginning and the reading at the end. this rubber band is marked 1
I think the limits are with in 0.02cm
** The basis for your uncertainty estimate: **
I am reading the ruler in mm which gives me accracy to 0.1cm, but I can estimate the distance between two mm mark to give and estimate to 0.01cm but eastimating a fraction of distance between mm marks I would estimate as being 0.02cm.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
10,17.14
10,17.01
10,17.22
10,17.18
10,17.20
10,17.05
7.14,7.01,7.22,7.18,7.2,7.05
1,2,3,4,5,6
0.02cm
** Distances between ends when supporting 2 dominoes **
7.49,7.22,7.31,7.37,7.3,7.25
this is for 2 dominoes
** Lengths when supporting 4, 6, ... dominoes: **
7.65,7.51,7.48,7.42,7.49,7.40
4
7.85,7.52,7.61,7.64,7.62,7.54
6
7.91,7.71,7.73,7.72,7.80,7.70
8
8.11,7.80,7.92,7.91,7.89,7.87
10
8.32,7.99,8.16,8.13,8.06,8.09
12
8.49,8.21,8.30,8.26,8.31,8.19
14
8.61,8.31,8.41,8.42,8.49,8.29
16
8.79,8.60,8.63,8.66,8.71,8.57
18
9.01,8.71,8.90,8.92,8.93,8.89
20
end
I ran out of dominoes before my stretched length was increased by 30%
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.14,7.01,7.22,7.18,7.20,7.05,0.19
7.49,7.22,7.31,7.37,7.30,7.25,0.38
7.65,7.51,7.48,7.42,7.49,7.40,0.76
7.85,7.52,7.61,7.64,7.62,7.54,1.146
7.91,7.71,7.73,7.72,7.80,7.70,1.52
8.11,7.80,7.92,7.91,7.89,7.87,1.90
8.32,7.99,8.16,8.13,8.06,8.09,2.28
8.49,8.21,8.30,8.26,8.31,8.19,2.66
8.61,8.31,8.41,8.42,8.49,8.29,3.04
8.79,8.60,8.63,8.66,8.71,8.57,3.42
9.01,8.71,8.90,8.92,8.93,8.89,3.80
end
My lengths are measured in cm and the force is measured in Newtons
** Describe the graph of your first rubber band **
The best fit line on on my graph fro rubberband #1 would be a slight curve that is increasing at a decreaseing rate.
All of my graphs are similar to the first rubberband. I used excel to create all of my graphs and to add trendlines to best fit the points.
** The tension force in your first rubber band at length 9.8 cm: **
None of my rubberbands stretched out this much.
9.8 cm would be more than a 30% stretch for all of my rubberbands, so I would not have had any lengths this long
** The length of your first rubber band when tension is 1.4 N: **
7.90 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: **
0.4,0.75,1.25,1.4,1.85,2.3,2.7,3,3.4,3.8
0.02,0.01,0.11,0.12,0.05,0.02,0.04,0.04,0.02,0
** 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: **
7.5,7.65,7.8,7.95,8.15,8.3,8.46,8.65,8.82,9
0.01,0,0.05,0.04,0.04,0.02,0.03,0.04,0.03,0.01
** The typical error you estimate when predicting force for a given length from your graphs: **
I have more faith ion the values from the curve because it automatically adjusts for errors that might be present.
I would an estimate of uncretainty of +/- 0.04N. Which is the average difference between actual and estimate
** The typical error you estimate when predicting length for a given force from your graphs: **
I would an estimate of uncretainty of +/- 0.03cm. Which is the average difference between actual and estimate
** **
2 hr 30 min
** **
Very good work.