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: **
10.0 cm, 16.4 cm
6.4 cm
These numbers are the measurements of one end of the rubber band to the other end. I obtained the number on the second line by subtracting the 10.0 cm from the 16.4 cm to come up with distance in centimeters between the two ends. This rubber band is marked with a '1' and i believe that the measurement may be +.02 greater than the actual reported result.
** The basis for your uncertainty estimate: **
I believe the estimate for the uncertainty of the length of the first rubber band is because of the measuring and how the numbers are situated on the ruler.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
10.0, 16.4
10.0, 16.3
10.0, 16.4
10.0, 16.4
10.0, 16.4
10.0, 16.5
End
6.4 cm, 6.3 cm, 6.4 cm, 6.4 cm, 6.4 cm, 6.5 cm
The uncertainty would be .02
** Distances between ends when supporting 2 dominoes **
6.7 cm, 6,8 cm, 6.8 cm, 6.7 cm, 6.8 cm, 6.9 cm
These results are from the weight of the two dominoes
** Lengths when supporting 4, 6, ... dominoes: **
7.3 cm, 7.2 cm, 7.3 cm, 7.1 cm, 7.1 cm, 7.2 cm
4
8.0 cm, 7.8 cm, 7.6 cm, 7.6 cm, 7.9 cm, 8.0 cm
6
8.6 cm, 8.2 cm, 8.3 cm, 8.35 cm, 8.4 cm, 8.5 cm
8
End
** Your table of force in Newtons vs. length in cm for all rubber bands **
6.4, 1.40, 6.3, 1.38, 6.3, 1.40, 6.4, 1.40, 6.4, 1.40, 6.5, 1.42
6.7, 1.27, 6.8, 1.29, 6.8, 1.29, 6.7, 1.27, 6.8, 1.29, 6.9, 1.31
7.3, 1.38, 7.2, 1.36, 7.3, 1.38, 7.1, 1.34, 7.1, 1.34, 7.2, 1.36
8.0, 1.52, 7.8, 1.48, 7.6, 1.44, 7.6, 1.44, 7.9, 1.50, 8.0, 1.52
8.6, 1.63, 8.2, 1.55, 8.3, 1.57, 8.35, 1.58, 8.4, 1.59, 8.55, 1.62
End
The first column in each of my tables for each of my rubber bands is the length of each of the rubber band, after adding the appropriate number of dominoes. The second column in each of my tables for each of my rubber bands is the force exerted by each of the rubber bands, after adding the appropriate number of dominoes. The first column is measured in centimeters and the second column is measured in Newtons.
** Describe the graph of your first rubber band **
The shape of the curve of the graph that i drew to approximate the force vs. length behavior of the first rubber band was increasing at an increasing rate.
The shape of the second rubber band was also increasing at an increasing rate.
The shape of the third rubber band is also increasing at an increasing rate.
The shape of all of the rubber bands are increasing at an increasing rate throughout.
End
** The tension force in your first rubber band at length 9.8 cm: **
1.8 Newtons
** The length of your first rubber band when tension is 1.4 N: **
7.5 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: **
1.2, 1.3, 1.35,1.4, 1.6,
the estimate of the curve only differs from the actual weight supported by about 0.05 newtons
** 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: **
6.4, 6.3, 6.35, 6.4, 6.5, 6.55
These lengths differ only by about 0.5 from the length that i actually observed when the rubber band was resisting the force.
** The typical error you estimate when predicting force for a given length from your graphs: **
I have more faith in the values from the table because the curve could have errors made it it, or could have not been draw or made accurately, and the table should be more accurate.
probably about .3 Newtons because while i was estimating the Newtons, it seemed like they were no more than .3 Newtons off from the actual measurements.
** The typical error you estimate when predicting length for a given force from your graphs: **
Probably 0.5 cm because when i have previously estimated the lengths, all of them were off by no more than 0.5, so i feel that that would be the uncertainty of the length.
** **
about 2 hours
** **
&#Very good responses. Let me know if you have questions. &#