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: **
0,7
7cm
I used the doubly reduced meter stick on the rubber band marked Number 1. So the actual measurement for Number one is within +.01 cm and -.01 cm.
** The basis for your uncertainty estimate: **
All rubber bands will have some distortion in them. They are not all made the same. The uncertainty will always be withing +.01cm and -.01 cm.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
0,7
0,8
0,8
0,8
0,7
0,7
End
7cm
8cm
8cm
8cm
7cm
7cm
End
1,2,3,4,5,6
All rubber bands will have some distortion in them. They are not all made the same. The uncertainty will always be withing +.01cm and -.01 cm.
** Distances between ends when supporting 2 dominoes **
7.50,8.25,8.25,8.00,7.25,7.00
** Lengths when supporting 4, 6, ... dominoes: **
7.50,8.25,8.25,8.00,7.75,8.00
4
7.75,8.25,8.25,8.25,7.75,8.25
6
8.25,8.75,8.25,8.50,8.50,8.50
8
8.25,9.25,9.00,8.50,8.50,8.75
10
8.50,9.75,9.50,9.00,9.00,9.00
12
9.00,10.25,10.00,9.25,8.75,9.00
14
9.00,10.75,10.25,9.25,9.25,9.50
16
9.50,11.25,11.25,10.25,9.50,10.00
18
End
** Your table of force in Newtons vs. length in cm for all rubber bands **
7,0.19,7.5,0.38,7.5,0.76,7.75,1.14,8.25,1.52,8.25,1.9,8.5,2.28,9,2.66,9,3.04,9.5,3.42
8,0.19,8.25,0.38,8.25,0.76,8.25,1.14,8.75,1.52,9.25,1.9,9.75,2.28,10.25,2.66,10.75,3.04,11.25,3.42
8,0.19,8.25,0.38,8.25,0.76,8.25,1.14,8.25,1.52,9,1.9,9.5,2.28,10,2.66,10.25.3.04,11.25,3.42
8,0.19,8,0.38,8,0.76,8.25,1.14,8.5,1.52,8.5,1.9,9,2.28,9.25,2.66,9.25,3.04,10.25 3.42
End
** Describe the graph of your first rubber band **
The graphs starts straight and begins so slightly to curve off to the right. The curve can be described as increasing at an increasing rate throughout the experiment.
All six of the rubber bands narrowed and took on an elongated form.
** The tension force in your first rubber band at length 9.8 cm: **
3.8 Newtons
** The length of your first rubber band when tension is 1.4 N: **
8cm
** 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: **
8,0.19,8.25,0.38,8.25,0.76,8.25,1.14,8.25,1.52,9,1.9,9.5,2.28,10,2.66,10.25.3.04,11.25,3.42
The estimate of the curve differs from the actual weight supported by about 1 newton.
** 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: **
0.19N,0.38N,0.76N,1.14N,1.52N,1.9N,2.28N,2.66N,3.04N,3.42N
7,7.5,7.5,7.75,8.25,8.25,8.5,9,9,9.5
** The typical error you estimate when predicting force for a given length from your graphs: **
I would have more faith in the table values.
The uncertainty would be +.05N or -.05N.
The numbers from the table and the curve of the graph.
** The typical error you estimate when predicting length for a given force from your graphs: **
The uncertainty in the length would be +.01cm or -.01cm.
The numbers from the meter stick, the table, and the curve of the graph as well as the observation of the rubber bands.
** **
2hours
** **
You did very well on this experiment.
Let me know if you have questions.