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: **
1,8.6
7.7 cm
I measured from one end of the rubber band to the other, starting at the 1 cm mark. The rubber band stretched out to the 8.6 cm mark, which meant the total length of the rubber band #1 was 7.6 cm long, a stretch of .1 cm.
** The basis for your uncertainty estimate: **
I think I should be pretty close on the accuracy of the #1 rubber band, the only uncertainty is the human eye and the initial measurement of my rubber band to get its regular un-stretch length.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
1,8.6
1,8.6
1,8.65
1.8.55
1,8.6
1,8.65
END
7.6,7.6,7.65,7.55,7.6,7.65
Human judgement of their eye and the line on the ruler and the top and end of the rubber band.
** Distances between ends when supporting 2 dominoes **
7.8,7.8,7.7,7.7,7.8,7.8
The results were from the weight of the two dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
8.05,8,8.1,7.95,8.1,8
4
8.35,8.3,8.33,8.25,8.3,8.25
6
8.55,8.5,8.5,8.5,8.5,8.5
8
8.8,8.8,8.75.8.75,8.75,8.8
10
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.6,7.6,7.65,7.55,7.6,7.65
Force= .19newtons
7.8,7.8,7.7,7.7,7.8,7.8
Force= .38newtons
8.05,8,8.1,7.95,8.1,8
Force= .76newtons
8.35,8.3,8.33,8.25,8.3,8.25
Force= 1.14newtons
8.55,8.5,8.5,8.5,8.5,8.5
Force= 1.52newtons
8.8,8.8,8.75.8.75,8.75,8.8
Force= 1.9newtons
** Describe the graph of your first rubber band **
I would say the curve of my graph starts off near the bottom left and starts slowly curving upward then exponetially goes upward, I would say increasing at an increasing rate. My rubber bands were mostly straight, they were being stretched so long ovals really.
** The tension force in your first rubber band at length 9.8 cm: **
2.8newtons
** The length of your first rubber band when tension is 1.4 N: **
8.5cm
** 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: **
.19,.38,.76,1.14,1.53,1.9
The estimate of the curve is pretty close from the weight actually supported.
** 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: **
7.6,7.8,8.05,8.35,8.55,8.8
Actually, these lengths are almost the same.
** The typical error you estimate when predicting force for a given length from your graphs: **
I believe you could get fairly close, within +-.1 newton. From the graph that we drew and looked at it, I believe I could have came fairly close to my guestimations.
** The typical error you estimate when predicting length for a given force from your graphs: **
I believe you can estimate the length to within .05 cm to 1cm for the lenght with a given force in one of the graphs. From the data that I gathered I can tell about the lenght should be for a certain amount of force.
** **
2 hour and 15 minutes
** **
Your work looks very good. Let me know if you have any questions.