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: **
5.00cm, 12.20cm
7.20cm
The number in the second line was obtained by finding the difference between the two numbers in the first line. The rubber band is maked number one with a marker on the side. This measurement is only accurate to the .05cm becuase of the measuring instrument available.
** The basis for your uncertainty estimate: **
This is the estimated uncertainty becuase the ruler is only marked up to the mm, but the halfway mark of the mm can be quite accurately judged; therefore, uncertainty is .05mm.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
5.00cm, 12.20cm
5.00cm, 12.35cm
5.00cm, 12.50cm
5.00cm, 12.35cm
5.00cm, 12.60cm
5.00cm, 12.75cm
END
7.20cm, 7.35cm, 7.50cm, 7.35cm, 7.60cm, 7.75cm
1, 2, 3, 4, 5, 6
uncertainty = .05
** Distances between ends when supporting 2 dominoes **
7.45cm, 7.55cm, 7.60cm, 7.45cm, 7.65cm, 7.80cm
These results were from the weight of two dominoes.
** Lengths when supporting 4, 6, ... dominoes: **
7.65cm, 7.75cm, 7.85cm, 7.70cm, 8.00cm, 8.10cm
4
7.90cm, 7.95cm, 8.15cm, 7.85cm, 8.20cm, 8.35cm
6
8.10cm, 8.20cm, 8.40cm, 8.00cm, 8.45cm, 8.60cm
8
8.40cm, 8.45cm, 8.70cm, 8.30cm, 8.75cm, 8.90cm
10
8.65cm, 8.70cm, 9.10cm, 8.60cm, 9.10cm, 9.35cm
12
9.00cm, 9.00cm, 9.50cm, 8.90cm, 9.55cm, 9.65cm
14
9.35cm, 9.35cm, 10.00cm, 9.30cm, 9.80cm, 10.15cm
16
7.20cm, 7.45cm, 7.65cm, 7.90cm, 8.10cm, 8.40cm, 8.65cm, 9.00cm,
9.35cm
** Your table of force in Newtons vs. length in cm for all rubber bands **
7.20cm, 7.35cm, 7.50cm, 7.35cm, 7.60cm, 7.75cm
0.19N
7.45cm, 7.55cm, 7.60cm, 7.45cm, 7.65cm, 7.80cm
.38N
7.65cm, 7.75cm, 7.85cm, 7.70cm, 8.00cm, 8.10cm
.76N
7.90cm, 7.95cm, 8.15cm, 7.85cm, 8.20cm, 8.35cm
1.14N
8.10cm, 8.20cm, 8.40cm, 8.00cm, 8.45cm, 8.60cm
1.52N
8.40cm, 8.45cm, 8.70cm, 8.30cm, 8.75cm, 8.90cm
1.90N
8.65cm, 8.70cm, 9.10cm, 8.60cm, 9.10cm, 9.35cm
2.28N
9.00cm, 9.00cm, 9.50cm, 8.90cm, 9.55cm, 9.65cm
2.66N
9.35cm, 9.35cm, 10.00cm, 9.30cm, 9.80cm, 10.15cm
3.04N
END
Each of the lines of numbers are the lengths of the rubber bands in the chain, under the downward force in the line below it.
7.20cm, 7.45cm, 7.65cm, 7.90cm, 8.10cm, 8.40cm, 8.65cm, 9.00cm,
9.35cm
** Describe the graph of your first rubber band **
Increasing at an increasing rate, increasing at a decreasing rate at very end.
Increasing at an increasing rate throughout.
Increasing at a decreasing rate breifly, increasing at an increasing rate, increasing at a decreasing rate at end.
Increasing at a decreasing rate very breifly, increasing at an increasing rate mostly, increasing at a decreasing rate for last two points.
Increasing at a decreasing rate very breifly, increasing at an increasing rate, increasing at a decreasing rate for a few points, increasing at an increasing rate between last two points.
Increasing at a decreasing rate for first two points, increasing at an increasing rate, increasing at a decreasing rate for two points, increasing at an increasing rate between two points, increasing at a decreasing rate between last two points.
** The tension force in your first rubber band at length 9.8 cm: **
2.9N
** The length of your first rubber band when tension is 1.4 N: **
8.3cm
** 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, .36, .74, 1.18, 1.5, 2.3, 2.64, 3.0
0, .02, .02, .04, .02, .4, .02, .02, .04
** 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: **
7.45, 7.61, 7.85, 8.11, 8.42, 8.73, 9.07, 9.5, 10.0
.05, .01, 0, .04, .39, .23, .37, .03, 0, 0
** The typical error you estimate when predicting force for a given length from your graphs: **
I have more faith in the values of the curve becuase it accounts for the human error that could have occured.
+-.01 uncertainty because that it the significant digits we were able to measure in.
** The typical error you estimate when predicting length for a given force from your graphs: **
+-.05 becuase we were only able to measure to the half a mm.
** **
1 hour
** **
Everything looks good.