Your work on rubber band calibration 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:
1.00, 10.35
9.35 cm
I subtracted.
They are marked with one and two lines. I think it is pretty accurate
The basis for your uncertainty estimate:
I don't know what to say...I think its within atleast .03 cm.
Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino:
1, 10.35
1, 10.30
1, 10.00
1, 10.50
1, 9.9
1, 10.10
End
9.35, 9.30, 9.00, 9.50, 8.90, 9.10
1,2,3,4,5,6
Distances between ends when supporting 2 dominoes
9.60, 9.50, 9.20, 9.70, 9.10, 9.10
These are the distance in cm between the measurements with two dominoes in the bag
Lengths when supporting 4, 6, ... dominoes:
11.00, 10.80, 10.00, 10.70, 10.00, 10.50
4
12.70, 12.40, 11.40, 12.50, 10.70, 11.50
6
End
Your table of force in Newtons vs. length in cm for all rubber bands
9.35, 9.30, 9.00, 9.50, 8.90, 9.10, .19
9.60, 9.50, 9.20, 9.70, 9.10, 9.10, .38
11.00, 10.80, 10.00, 10.70, 10.00, 10.50, .76
12.70, 12.40, 11.40, 12.50, 10.70, 11.50, 1.14
End
Line i contains measurements in cm for each of six rubber band with one domino in the bag or gravitational pull of .19 Newtons. The second line contains measurements in cm for each of the six rubber bands with 2 dominos in the bag or gravitational pull of .38 Newtons. The third line contains measurements in cm for each of six rubber band with 4 dominos in the bag or a gravitational pull of .76 Newtons. The fourth line contains measurements in cm for each of six rubber bands with 6 dominos in the bag with a gravitational pull of 1.14 Newtons.
Describe the graph of your first rubber band
My graph was similar to the one above just not as steep. It was increasing at a decreasing rate and then increasing at an increasing rate.
The tension force in your first rubber band at length 9.8 cm:
.85 Newtons
The length of your first rubber band when tension is 1.4 N:
13.5
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:
.50, .76, 1.0, 1.2
.31, 0.00, .24, .06
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:
9.2, 9.5, 10.5, 12.0
.15, .10, .50, .70
The typical error you estimate when predicting force for a given length from your graphs:
I have more faith in the numbers. The curve is just an estimate.
+/- .07 It It gives a little leway without being too precise.
The typical error you estimate when predicting length for a given force from your graphs:
.20 cm. Because each rubber band could have different elasticity.
Good work. See my notes. We will discuss these results next week.