Phy121
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: **
2.0cm, 5.5cm
3.50cm
rubber band #1-i subtracted the point of origin from the ending point +-.05
** The basis for your uncertainty estimate: **
the basis for my uncertainty for the measurement of the copy of the centimeter ruler is i used a xerox copy of the measuring ruler. uncertainty of .1
** Positions of the ends of each rubber band, actual lengths of each when the chain supports 1 domino: **
2.0cm, 5.5cm
3.0cm, 6.5cm
1.0cm, 4.5cm
1.0cm, 4.5cm
2.0cm, 5.5cm
3.0cm, 6.5cm
end
3.50cm, 3.50cm, 3.50cm, 3.50cm, 3.50cm
band 2, band 3, band 4, band 5, band 6
+- .1 uncertainty
** Distances between ends when supporting 2 dominoes **
3.6cm, 3.6cm, 3.6cm, 3.6cm, 3.6cm, 3.6cm
two dominoes
** Lengths when supporting 4, 6, ... dominoes: **
3.8cm, 3.9cm, 3.8cm, 3.8cm, 3.9cm, 3.8cm
4
4.0cm, 4.1cm, 4.0cm, 4.0cm, 4.1cm, 4.0cm
6
4.2cm, 4.2cm, 4.2cm, 4.2cm, 4.2cm, 4.2cm
8
4.3cm, 4.3cm, 4.3cm, 4.3cm, 4.3cm, 4.3cm
10
end
** Your table of force in Newtons vs. length in cm for all rubber bands **
3.50cm, 3.50cm, 3.50cm, 3.50cm, 3.50cm, 3.50cm,.19
3.6cm, 3.6cm, 3.6cm, 3.6cm, 3.6cm, 3.6cm, .38
3.8cm, 3.9cm, 3.8cm, 3.8cm, 3.9cm, 3.8cm, .76
4.0cm, 4.1cm, 4.0cm, 4.0cm, 4.1cm, 4.0cm, 1.14
4.2cm, 4.2cm, 4.2cm, 4.2cm, 4.2cm, 4.2cm, 1.52
4.3cm, 4.3cm, 4.3cm, 4.3cm, 4.3cm, 4.3cm, 1.90
** Describe the graph of your first rubber band **
with the first rubber band, it was increasing at an increasing rate
with each rubber band and the addition of two dominoes, the points on the graph became more spaced out.
end
** The tension force in your first rubber band at length 9.8 cm: **
.2 newtons
** The length of your first rubber band when tension is 1.4 N: **
2cm
** 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: **
.20N, .36N, .79N, 1.20N, 1.60N
-.01N, -.02N, +.03N, +.06N, +.08N
** 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: **
3.4cm, 3.7cm, 3.9cm, 4.1cm
-.1cm, -.1cm, -.1cm, -.1cm
** The typical error you estimate when predicting force for a given length from your graphs: **
the values in the table-the curve was an estimate where the table was equal intervals. +-.04N, the values in the box above
** The typical error you estimate when predicting length for a given force from your graphs: **
+-.1cm the values in the box above
** **
1.5 hours
** **
Good work.
I expect that you used a printed copy of the ruler, and your system printed the copy at an exaggerated size. If this is the case, then at some point you might want to know how the measurements you took here convert to standard centimeters. I suggest you use a standard ruler and measure how many actual standard centimeters correspond to 10 cm on your paper ruler. If you submit a short note indicating your measurement, I'll be glad to post it to your page so you'll always know where to find the information.