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: **
30 cm, 35 cm
5.01 cm
I got these numbers by measuring the distance between the ends. I took the absolute value of the two numbers listed first. I believe that my measurements are within + or - .05 cm. I used an accurate ruler.
** The basis for your uncertainty estimate: **
I used one of the reduced copies of the ruler. I believe that is accurate + or - 0.5 mm.
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
30 cm, 35.50 cm
30 cm, 35.25 cm
30 cm, 35.40 cm
30 cm, 35.35 cm
30 cm, 35.55 cm
End
5.50 cm
5.25 cm
5.40 cm
5.35 cm
5.55 cm
Uncertainty= .05 cm
** Distances between ends when supporting 2 dominoes **
5.45 cm, 5.25 cm, 5.35 cm, 5.60 cm, 5.65 cm, 5.50 cm
** Lengths when supporting 4, 6, ... dominoes: **
5.40 cm, 5.85 cm, 5.65 cm, 5.75 cm, 5.70 cm, 5.95 cm
4 Dominoes
5.85 cm, 6.15 cm, 5.75 cm, 6.05 cm, 5.95 cm, 6.10 cm
6 Dominoes
6.05 cm, 6.30 cm, 6.00 cm, 6.25 cm, 6.10 cm, 6.20 cm
8 Dominoes
6.10 cm, 6.45 cm, 6.20 cm, 6.30 cm, 6.45 cm, 6.55 cm
** Your table of force in Newtons vs. length in cm for all rubber bands **
5.50 cm, 5.25 cm, 5.40 cm, 5.35 cm, 5.55 cm, 5.01cm, .19 Newtons
5.45 cm, 5.25 cm, 5.35 cm, 5.60 cm, 5.65 cm, 5.50 cm.38 Newtons
5.40 cm, 5.85 cm, 5.65 cm, 5.75 cm, 5.70 cm, 5.95 cm .76 Newtons
5.85 cm, 6.15 cm, 5.75 cm, 6.05 cm, 5.95 cm, 6.10 cm 1.14 Newtons
6.05 cm, 6.30 cm, 6.00 cm, 6.25 cm, 6.10 cm, 6.20 cm 1.52 Newtons
6.10 cm, 6.45 cm, 6.20 cm, 6.30 cm, 6.45 cm, 6.55 cm 1.90 Newtons
End
Column # 1 shows the rubberband lengths for the first rubberbands, column # 2 shows the lengths of the second rubberband, and the third column the third band; etc. The 7th column shows the force that was put on each rubberband according to the number of dominoes.
** Describe the graph of your first rubber band **
The first graph is increasing at a constant rate. The second graph is increases at an increasing rate it then begins to slow to a decreasing rate. The third graph increases at increasing rate then slows until it is increases at a decreasing rate then switches again to where it its increasing at an increasing rate, the fourth graph increases an increasing rate then increases at constant rate and then increases at a constant (this one is less than the 3rd graph). The 5th graph also increases at an increasing rate and then begins to slowly decrease; the same happened with the 6th graph.All of these graphs are increasing and are mostly linear.
End
** The tension force in your first rubber band at length 9.8 cm: **
4.25 Newtons
** The length of your first rubber band when tension is 1.4 N: **
5.95
** 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: **
0.16, 0.26, 0.68, 1.04, 1.25, 1.64
0.06, 0.04, 0.06, 0.02, 0.01, 0.04
** 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: **
5.01, 5.24, 5.41, 5.56, 5.01, 5.35
0.01, 0.05, 0.02, 0.01, 0.01, 0.05
** The typical error you estimate when predicting force for a given length from your graphs: **
The curve, because the curve is closest to the correct values; the curve also allows for human error.
** The typical error you estimate when predicting length for a given force from your graphs: **
The uncertainty value would be approx. +or- 0.04 cm; this is neqar the average of the deviation of the actual value I found after measuring.
** **
3.5 hours
** **
&#Your work looks very good. Let me know if you have any questions. &#