PHY 201
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.
** #$&* Your initial comment (if any): **
June 21 around 3:40 pm
** #$&* first line ruler markings, distance in actual cm between ends, how obtained: **
0, 7.82
7.82 cm
I got second number from subtracting the first ruler markings from the second ruler marking, which is the length of the first rubber band. I numbered my rubber bands by writing a number on them with a pen. I think that my uncertianity is +- .03.
** #$&* The basis for your uncertainty estimate: **
I have a ruler that measures in cenimeters, and sometimes the rubber band length falls between a tenth of a centimeter, so I have to estimate the length. The first rubber band fell between the length of 7.8 and 7.9, so I had to estimate the actual distance between the two and it was closer to the 7.8 cm, so I went with a smaller number that was closer to 7.8.
** #$&* Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
0, 7.93
End
7.82, 7.55, 7.78, 7.92, 7.63, 7.93
1, 2, 3, 4, 5, 6
+- .03
** #$&* Distances between ends when supporting 2 dominoes **
8.02, 7.76, 7.82, 7.91, 7.95, 8.21
These lengths are from the two dominoes, becasue they increased from my previous length that was from one domino.
** #$&* Lengths when supporting 4, 6, ... dominoes: **
8.83, 8.65, 8.81, 8.92, 8.99, 8.78
8
9.13, 8.89, 8.99, 9.12, 9.41, 9.11
10
End
** #$&* Your table of force in Newtons vs. length in cm for all rubber bands **
7.82, 7.55, 7.78, 7.92, 7.63, 7.93
.19
8.02, 7.76, 7.82, 7.91, 7.95, 7.21
.38
8.29, 7.98, 8.25, 8.32, 8.34, 8.36
.57
8.55, 8.31, 8.45, 8.62, 8.61, 8.46
1.14
The first column is the actual length of the rubber bands in cm's and the second column is the force associated with domino resistance on each rubber band, which is measured in newtons.
** #$&* Describe the graph of your first rubber band **
The curve of the first rubber band is increasing at an increasing rate, then increasing at a constant rate.
The curve of the second rubber band is increasing at an increasing rate, then increasing at a constant rate.
The curve of the third rubber band is increasing at a increasing rate, then increasing at a constant rate.
The curve of the fourth rubber band is increasing at a increasing rate, then increasing at a constant rate.
The curve of the fifth rubber band is increasing at a increasing rate, then increasing at a constant rate.
The sixth rubber band is increasing at the constant rate.
End
** #$&* The tension force in your first rubber band at length 9.8 cm: **
My measurements with the 10 dominoes did not go as far as the 9.8 cm that you a asking. The farthest length I got was 9.13 cm, so it would be difficult to answer this question, because I have no curve to estimate it from.
** #$&* The length of your first rubber band when tension is 1.4 N: **
7.7 cm
** #$&* The forces at your observed lengths the 1st rubber band, as given by the curve, and the deviations of those curve-predicted lengths from the observed lengths: **
.20, .41, .74, 1.02, 1.41, 1.84
.01, .03, .12, .11, .06
End
** #$&* 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: **
7.81, 7.99, 8.31, 8.59
.01, .03, .02, .04
** #$&* The typical error you estimate when predicting force for a given length from your graphs: **
I think I will lean toward the values I reported in my table, because these are actual lengths of the rubber bands with the given force.
The uncertianty in a force would be aroun +- .10 N. Well, when I figured out the diffence between the actual forces and the forces associated with the curve for that length, the differnce between the two was differnce all the way across so this is an uncertainty.
** #$&* The typical error you estimate when predicting length for a given force from your graphs: **
I think that the uncertianty of the length's would be around +- .2. When I got the differnce of the actual lengths and the lengths of the curve that is associated with the force, there were different differnces all across the curve.
** **
2 hours
** **
&#This looks very good. Let me know if you have any questions. &#