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): **
** first line ruler markings, distance in actual cm between ends, how obtained: **
10, 17.31
7.31
I subtracted the first reading from the second.
I believe the measurement is within +-.05 cm since we are measuring to the nearest .01 cm.
** The basis for your uncertainty estimate: **
Since I am measuring to the nearest .01 cm and the markings are only as small as .1 cm, I believe it stands to reason that my measurements could be inaccurate +-.05 cm since I am estimating the distance between .1 and .2 cm for example.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
10, 17.31
10, 17.32
10, 17.29
10, 17.29
10, 17.20
10, 17.10
END
7.31, 7.32, 7.29, 7.29, 7.20, 7.10
1, 2, 3, 4, 5, 6
Uncertainty is +-.05 cm
** Distances between ends when supporting 2 dominoes **
7.40, 7.43, 7.32, 7.35, 7.30, 7.28
Results from weight of 2 dominoes
** Lengths when supporting 4, 6, ... dominoes: **
7.69, 7.68, 7.58, 7.60, 7.52, 7.40
4
7.90, 7.88, 7.75, 7.89, 7.90, 7.78
6
8.09, 8.05, 7.87, 8.15, 8.12, 8.02
8
8.35, 8.20, 8.15, 8.30, 8.18, 8.13
10
END
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.31, 7.32, 7.29, 7.29, 7.20, 7.10
.19
7.40, 7.43, 7.32, 7.35, 7.30, 7.28
.38
7.69, 7.68, 7.58, 7.60, 7.52, 7.40
.76
7.90, 7.88, 7.75, 7.89, 7.90, 7.78
1.14
8.09, 8.05, 7.87, 8.15, 8.12, 8.02
1.52
8.35, 8.20, 8.15, 8.30, 8.18, 8.13
1.90
END
The six numbers represent the lengths of the rubber bands (1-6) with the following amount of force exerted.
** Describe the graph of your first rubber band **
For the most part it seems like the graph of my first rubber band is increasing at a constant rate.
The graph of my second rubber band seems to be increasing at a constant rate as well.
The graph of my third rubber band is a little more spread out and curved in the middle. But for the most part it seems like a straight line would be about the best fit for it. Increasing at a constant rate.
The graph of my fourth rubber band is possibly increasing at a decreasing rate, however it is be very little.
** The tension force in your first rubber band at length 9.8 cm: **
Probably about 3.0 N
** The length of your first rubber band when tension is 1.4 N: **
About 8.15
** 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: **
.25, .40, .68, 1.10, 1.50, 1.88
.06, .02, .08, .04, .02, .02
** 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: **
7.25, 7.38, 7.75, 7.93, 8.05, 8.38
.06, .02, .06, .03, .04, .03
** The typical error you estimate when predicting force for a given length from your graphs: **
I would say the values I reported because I am not sure I graphed the curve correctly. It is an estimate and attempt not collected data.
Probably about +-.10 N. This is because of the curves and how much they vary. I feel this could be the error since one of the differences in the above table was .08
** The typical error you estimate when predicting length for a given force from your graphs: **
About +-.15 cm. The difference here I feel could be a little greater.
** **
1 hour 45 minutes.
** **
&#This looks very good. Let me know if you have any questions. &#