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: **
10,21.4
7.6cm
The ruler I used was 1.5 to 1 scale to an actual ruler so I subtracted 10 from 21.4 to get 11.4 then divided that by 1.5 to get 7.6cm. The rubber band is marked 1. Since 1mm on the scale ruler equals .7mm on the real ruler the smallest increment of measurement I can make is .07 so the measurement should be within + - .07cm
** The basis for your uncertainty estimate: **
Since 1mm on the scale ruler equals .7mm on the real ruler the smallest increment of measurement I can make is .07 so the measurement should be within + - .07cm
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
10, 21.4
10, 21.2
10, 21.1
10, 21.4
10, 21.1
end
7.6 cm, 7.47cm, 7.4cm, 7.6cm, 7.4cm
The rubber bands are marked in this order: 1 2 3 4 5
+ - .07cm
** Distances between ends when supporting 2 dominoes **
7.67cm, 7.6cm, 7.53cm, 7.73cm, 7.47cm
these results were from the weight of two dominoes
** Lengths when supporting 4, 6, ... dominoes: **
7.87cm, 7.93cm, 7.87cm, 7.93cm, 7.87cm
4
8.13cm, 8.13cm, 8.07cm, 8.2cm, 8.07cm
6
8.4cm, 8.4cm, 8.33cm, 8.53cm, 8.33cm
8
8.67cm, 8.67cm, 8.6cm, 8.87cm, 8.8cm
10
End
None of the rubber bands reached a length 30% more than there original before I ran out of dominoes.
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.6 cm, 7.47cm, 7.4cm, 7.6cm, 7.4cm
.19 newtons
7.67cm, 7.6cm, 7.53cm, 7.73cm, 7.47cm
.38newtons
7.87cm, 7.93cm, 7.87cm, 7.93cm, 7.87cm
.76 newtons
8.13cm, 8.13cm, 8.07cm, 8.2cm, 8.07cm
1.14 newtons
8.4cm, 8.4cm, 8.33cm, 8.53cm, 8.33cm
1.52 newtons
8.67cm, 8.67cm, 8.6cm, 8.87cm, 8.8cm
1.9 newtons
End
The first column is the length of the rubber bands with 1 dominoe which is equal to .19 newtons the second is the length of the rubber bands with 2 dominoes which is equal to .38 newtons and so on for 4, 6, 8, and 10 dominoes. Each length corresponds to rubber bands 1,2,3,4,5 in that order.
** Describe the graph of your first rubber band **
#1 Increasing at a decreasing rate then increasing at a constant rate.
#2 Increasing at a constant rate
#3 Increasing at an increasing rate then increasing at a constant rate.
#4 Increasing at a decreasing rate
#5 Increasing at an increasing rate then increasing at a decreasing rate.
End
** The tension force in your first rubber band at length 9.8 cm: **
My data never got past 8.67cm
** The length of your first rubber band when tension is 1.4 N: **
8.36cm
** 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: **
.2N, .41N, .77N, 1.16N, 1.53N, 8.67N
.01N, .03N, .01N, .02N, .01N, 0N
** 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: **
7.59cm, 7.65cm, 7.86cm, 8.12cm, 8.39cm, 8.67cm
.01cm, .02cm, .01cm, .01cm, .01cm, 0cm
** The typical error you estimate when predicting force for a given length from your graphs: **
Since the points lined up to form a good curve I would say both.
+- .19n Because that is the smallest increment on my graph.
** The typical error you estimate when predicting length for a given force from your graphs: **
+- .1cm because that is the smallest increment on my graph.
** **
2hrs
** **
&#Your work looks very good. Let me know if you have any questions. &#