Phy 231
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: **
30 cm, 37 cm
7.10 cm
I obtained the numbers in the second line by finding the absolute value between the values in the first line. I believe my measurements to be accurate to the nearest .1 cm.
** The basis for your uncertainty estimate: **
My measurement is being taken by the single ruler sheet and it is only accurate to the nearest half millimeter, since I can reasonably perceive if the measurement is halfway between to millimeter marks.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
30 cm, 37.55 cm
30 cm, 37.25 cm
30 cm, 37.40 cm
30 cm, 37.35 cm
30 cm, 37.50 cm
End
7.55 cm
7.25 cm
7.40 cm
7.35 cm
7.50 cm
2
3
4
5
6
Uncertainty of .05 cm
** Distances between ends when supporting 2 dominoes **
7.25 cm, 7.65 cm, 7.35 cm, 7.50 cm, 7.45 cm, 7.60 cm
These measurements were collected from the length caused by the weight of two dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
7.50 cm, 7.95 cm, 7.55 cm, 7.75 cm, 7.70 cm, 7.85 cm
4
7.75 cm, 8.15 cm, 7.80 cm, 8.00 cm, 7.95 cm, 8.15 cm
6
8.00 cm, 8.40 cm, 8.00 cm, 8.20 cm, 8.15 cm, 8.30 cm
8
8.20 cm, 8.65 cm, 8.30 cm, 8.40 cm, 8.40 cm, 8.60 cm
10
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.10 cm, 7.55 cm, 7.25 cm, 7.40 cm, 7.35 cm, 7.50 cm, .19 Newtons
7.25 cm, 7.65 cm, 7.35 cm, 7.50 cm, 7.45 cm, 7.60 cm, .38 Newtons
7.50 cm, 7.95 cm, 7.55 cm, 7.75 cm, 7.70 cm, 7.85 cm, .76 Newtons
7.75 cm, 8.15 cm, 7.80 cm, 8.00 cm, 7.95 cm, 8.15 cm, 1.14 Newtons
8.00 cm, 8.40 cm, 8.00 cm, 8.20 cm, 8.15 cm, 8.30 cm, 1.52 Newtons
8.20 cm, 8.65 cm, 8.30 cm, 8.40 cm, 8.40 cm, 8.60 cm, 1.90 Newtons
End
The first column shows the lengths for rubber band # 1 as the force increases. The second column shows the lengths for band #2, and so forth with each column corresponding the number on the band. The last column indicates the force that was exerted upon the rubber bands along each row.
** Describe the graph of your first rubber band **
The first one could be described as increasing at a fairly constant rate. The second graph increases at an increasing rate then at a decreasing rate. The third graph increases at increasing rate then increases at a decreasing rate then increases at an increasing rate again. The fourth graph increases an increasing rate then increases at constant rate and then increases at a constant less than the previous one. Overall these graphs increase at rates which form fairly linear graphs with the increasing and decreasing rates noted above as small deviations from a linear graph.
End
I only included descriptions for 4 graphs because above you said we didn't have to create graphs for all six, but instead to save the data for the last two in case it is needed later.
** The tension force in your first rubber band at length 9.8 cm: **
4.25 Newtons
** The length of your first rubber band when tension is 1.4 N: **
7.9 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: **
0.12, 0.36, 0.74, 1.13, 1.51, 1.82
The estimates differ by the following amounts in order 0.07, 0.02, 0.02, 0.01, 0.01, 0.08
** 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: **
7.14, 7.27, 7.51, 7.76, 8.01, 8.25
The estimates differ by the following amounts in order 0.04, 0.02, 0.01, 0.01, 0.01, 0.05
** The typical error you estimate when predicting force for a given length from your graphs: **
The values of the curve, because the curve helps to smooth out the errors caused by human error; therefore, the curve represents a value closer to the perfect mathematical value than the one I perceived.
** The typical error you estimate when predicting length for a given force from your graphs: **
I would estimate an uncertainty value of approximately +- 0.02 cm, because this is close to the average value of deviation from the actual value found when measured.
** **
2 hours 15 minutes
** **
Since I had all of this copied to text documents please let me know if any of my responses seem out of place or incomplete, because while I have made all attempts to maintain 100% of all the data I originally entered into these forms, and since I could not submit them at the time I am copying from the text document backup onto here. This will apply to all experiments I am submitting through Assignment 11 group. Also, if I am missing any labs prior to this one is sequence please let me know, because I will most likely have it backup and missed it as I was submitting the labs.
The format is fine, as is the quality of the work.