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: **
1.00, 8.12
7.12
The first row indicates the scale position of the beginning and end of the rubber band, and the second is the total length, calculated by subtracting the first from the last number. The rubber band is marked with a single line on each side. The measurement is probably only good to +- 0.05 cm.
** The basis for your uncertainty estimate: **
I had difficulty holding the measure still while making the measurement, being aware that contact with the rubber band or stack could alter the measurement.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
1.00, 8.12, 1.00, 8.02, 1.00, 8.15, 1.00, 8.22, 10.00, 17.18, 21.00, 28.10
1.00, 8.32, 4.35, 11.60, 4.35, 11.60, 4.35, 11.68, 4.40, 11.65, 4.40, 11.58
1.00, 8.45, 4.35, 11.82, 4.40, 11.80, 4.35, 11.88, 4.35, 11.80, 4.40, 11.88
1.00, 8.71, 4.35, 12.08, 4.40, 12.00, 4.40, 12.10, 4.40, 12.10, 4.35, 12.00
1.00, 8.88, 4.35, 12.21, 4.45, 12.20, 4.40, 12.25, 4.38, 12.20, 12.00, 19.85
1.00, 9.08, 4.45, 12.40, 4.50, 12.35, 4.40, 12.45, 4.40, 12.48, 4.40, 12.50
1.00, 9.28, 4.45, 12.65, 4.45, 12.65, 4.40, 12.71, 4.45, 12.68, 17.10, 25.21
1.00, 9.58, 4.40, 12.85, 4.50, 12.85, 4.40, 12.90, 4.40, 12.90, 17.35, 25.70
1.00, 9.81, 4.45, 13.15, 4.45, 13.08, 4.40, 13.18, 4.50, 13.28, 17.65, 26.91
End
7.12, 7.02, 7.15, 7.22, 7.18, 7.10
I, II, III, IIII, IIIII, IIIIII
0.05 cm
** Distances between ends when supporting 2 dominoes **
7.32, 7.25, 7.25, 7.33, 7.25, 7.18
These were from the weight of two dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
7.45, 7.47, 7.40, 7.53, 7.45, 7.48
4
7.71, 7.73, 7.60, 7.70, 7.70, 7.65
6
7.88, 7.86, 7.75, 7.85, 7.82, 7.85
8
8.08, 7.95, 7.85, 8.05, 8.08, 8.10
10
8.28, 8.20, 8.20, 8.31, 8.23, 8.11
12
8.58, 8.45, 8.35, 8.50, 8.50, 8.35
14
8.81, 8.70, 8.63, 8.78, 8.78, 9.26
16
End
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.12, 7.02, 7.15, 7.22, 7.18, 7.10, 0.19
7.32, 7.25, 7.25, 7.33, 7.25, 7.18, 0.38
7.45, 7.47, 7.40, 7.53, 7.45, 7.48, 0.76
7.71, 7.73, 7.60, 7.70, 7.70, 7.65, 1.14
7.88, 7.86, 7.75, 7.85, 7.82, 7.85, 1.52
8.08, 7.95, 7.85, 8.05, 8.08, 8.10, 1.9
8.28, 8.20, 8.20, 8.31, 8.23, 8.11, 2.28
8.58, 8.45, 8.35, 8.50, 8.50, 8.35, 2.66
8.81, 8.70, 8.63, 8.78, 8.78, 9.26, 3.04
End
** Describe the graph of your first rubber band **
1 - Increasing at an increasing rate, then increasing at a decreasing rate - almost linear
2 - Increasing at an increasing rate, then increasing at a decreasing rate
3 - Increasing at an increasing rate, then increasing at a decreasing rate - almost linear
4 - Increasing at an increasing rate, then increasing at a decreasing rate - almost linear
5 - Increasing at an increasing rate, then increasing at a decreasing rate - almost linear
6 - Increasing at a decreasing rate, then increasing at an increasing rate, then increasing at a decreasing rate
End
** The tension force in your first rubber band at length 9.8 cm: **
5.3
(Extrapolated)
** The length of your first rubber band when tension is 1.4 N: **
7.80
** 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: **
0.10, 0.48, 0.76, 1.23, 1.52, 1.90, 2.20, 2.66, 3.05
0.09, 0.10, 0.00, 0.09, 0.00, 0.00, 0.08, 0.06, 0.01
** 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: **
7.15, 7.25, 7.45, 7.65, 7.85, 8.10, 8.35, 8.55, 8.80
0.03, 0.07, 0.00, 0.06, 0.03, 0.02, 0.07, 0.03, 0.01
** The typical error you estimate when predicting force for a given length from your graphs: **
The smoothed curve because it reduces error from points that are suspect and spreads the error amongst the nearby points.
I would estimate error of +-0.10N based on the observations that were made in the exercise above.
** The typical error you estimate when predicting length for a given force from your graphs: **
I would estimate error of +-0.07 cm based on the observations that were made in the exercise above.
** **
3.75 hours
** **
&#Your work looks very good. Let me know if you have any questions. &#