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: **
0, 7.9cm
88.9cm
I obtained the number in the second line by measuring from the top of rubber band 1 to the end point of rubber band 6. +/-.03cm
** The basis for your uncertainty estimate: **
Because I measured it with a very reduced ruler.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
8.0, 7.5, 7.8, 7.7, 7.4
End
7.9, 8.0, 7.5, 7.8, 7.7, 7.4
End
1, 2, 3, 4, 5, 6
End
0.00
** Distances between ends when supporting 2 dominoes **
8.0, 7.9, 8.2, 8.0, 7.9, 7.8
This is from the weight of 2 dominos.
** Lengths when supporting 4, 6, ... dominoes: **
8.2, 8.1, 8.0, 8.1, 8.2, 7.8
This is for four dominos.
8.5, 8.4, 8.1, 8.4, 8.5, 8.1
This is for six dominos.
8.7, 8.7, 8.2, 8.7, 8.7, 8.3
This is for eight dominos.
9.0, 9.0, 8.5, 9.0, 8.9, 8.6
This is for ten dominos.
End.
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.9, 8.0, 7.5, 7.8, 7.7, 7.4
.19 Newtons
8.0, 7.9, 8.2, 8.0, 7.9, 7.8
.38 Newtons
8.2, 8.1, 8.0, 8.1, 8.2, 7.8
.76 Newtons
8.5, 8.4, 8.1, 8.4, 8.5, 8.1
1.14 Newtons
8.7, 8.7, 8.2, 8.7, 8.7, 8.3
1.52 Newtons
9.0, 9.0, 8.5, 9.0, 8.9, 8.6
1.9 Newtons
End.
Each column represents how many centimeters the rubber bands are being stretched and it is caused by how much force (in Newtons) is exerted on the rubber bands
** Describe the graph of your first rubber band **
In the first graph the curve is increasing at a decreasing rate. In the second graph you find the curve is increasing at an increasing rate. In the third you find the curve increasing at a constant rate. In the fourth you find the curve increasing at an increasing rate. In the fifth graph you find the curve increasing at an increasing rate. And in the final graph you find the curve increasing at an increasing rate.
End.
** The tension force in your first rubber band at length 9.8 cm: **
2.75 Newtons
** 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: **
1.5, 1.65, 2.1, 2.75, 3.1
-.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: **
7.8, 8.0, 8.4, 8.5, 8.7, 9.0
-.1, 0, -.2, 0, 0, 0
** The typical error you estimate when predicting force for a given length from your graphs: **
I have more faith in my actual values that I obtained during the experiment because the other were raw estimates with an inaccurate graph and my naked eye.
** The typical error you estimate when predicting length for a given force from your graphs: **
I averaged out each graph and got an uncertainty as follows:
+/-.5, +/-.2, +/-.4, +/-.4, +/-.4, +/-.4
** **
1 hour 30 minutes
** **
Had a little trouble this one.
I think you have good calibration data, and will be able to use these results effectively in upcoming experiments.