Phy231
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: **
0,7.35
7.35
Hanging 6 rubberband/paperclip chain with bag with one domino measured lengths first rubberband using 75% scale ruler, translated to 100%. Each rubberband is marked with a label. Each measurement is +/- .01 cm.
** The basis for your uncertainty estimate: **
Because that was the accuracy derived from the earlier lab for the 75% ruler.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
0,7.35
11.65,18.96
23.26,30.64
34.94,42.63
46.93,54.64
58.94,66.12
End
7.35,7.31,7.38,7.69,7.71,7.18
** Distances between ends when supporting 2 dominoes **
7.47,7.50,7.43,7.91,7.84,7.58
Results from weight of two dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
7.71,7.65,7.66,8.02,8.08,7.73
4
7.79,7.78,7.83,8.26,8.41,8.02
6
8.26,8.63,8.52,8.23,8.09,8.03
8
8.24,8.30,8.57,8.92,9.08,8.53
10
End
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.35,7.31,7.38,7.69,7.71,7.18,0.19
7.47,7.50,7.43,7.91,7.84,7.58,0.38
7.71,7.65,7.66,8.02,8.08,7.73,0.76
7.79,7.78,7.83,8.26,8.41,8.02,1.14
8.03,8.09,8.23,8.52,8.63,8.26,1.52
8.24,8.30,8.57,8.92,9.08,8.53,1.90
End
Column 1-6 (length in cm of rubberband),col1=rubberband#1,col2=#2,col3=#3,col4=#4,col5=#5,col6=#6
Column 7 = Force of gravitational pull of bag of dominoes in newtons (N)
** Describe the graph of your first rubber band **
Increasing at a constant rate then increasing at a decreasing rate.
Increasing at a decreasing rate.
Increasing at a constant rate then increasing at a decreasing rate.
Increasing at an increasing rate then increasing at a decreasing rate.
** The tension force in your first rubber band at length 9.8 cm: **
3.3N
** The length of your first rubber band when tension is 1.4 N: **
8.19cm
** 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: **
0.02,0.59,0.79,1.18,1.49,1.82
-0.16,0.21,0.03,0.03,-0.03,-0.07
** 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: **
7.30,7.43,7.71,7.99,8.29,8.59
0.12,-0.15,-0.02,-0.02,0.02,0.06
** The typical error you estimate when predicting force for a given length from your graphs: **
I have more faith in my data points since they were measured while the curve only estimates.
I would estimate +/-.09N since that is the average of the absolute values of the errors between measured and estimated.
** The typical error you estimate when predicting length for a given force from your graphs: **
I would say +/-.07cm since that is the average of the absolute value of the errors between measured and estimated.
** **
4 hours
** **
Very good work, though an uncertainty of +- .01 cm is probably not possible. The +-.07 cm indicated by your graph is probably more realistic.
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