7 Pendulum Lab

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Pendulum Lab – Model Data Tables:
Pendulum Lab – Model Data Tables:
Pendulum Lab – Model Data Tables:
Copy/Paste these formulas
in all cells to calculate the
average period for each
trial.
Pendulum Lab – Sorted and Average Data Tables:
Sort the data by Amplitude as
shown here. In other words, group
all of the data taken at 5 degrees
together, group all taken at 10
degrees, etc.
Pendulum Lab – Sorted and Average Data Tables:
Average the two trials at each
amplitude and consolidate the
data…do this for both Procedure
1 and Procedure 2.
Pendulum Lab – Sorted and Average Data Tables:
Convert the Procedure 1 data
(after it has been averaged) into a
chart like the one shown below.
Pendulum Lab – Sorted and Average Data Tables:
FileName:
EngPrac_Period_LastNames.xlsx
Example:
“EngPract_7_Scott.xlsx”
Pendulum Lab – Sorted and Average Data Tables:
We set out to prove that the period, T, of a pendulum
was given by the equation:
T C
l
g
and that mass and amplitude have no effect on T. In
addition, we also want to determine the constant, C.
With the data we took last week, we have the
information we need to do this!
Pendulum Lab – Sorted and Average Data Tables:
This equation,
T C
l
g
is the same thing as saying that,
T l
If that’s true, then…
T α la
Log T α a Log l
If we plot Log T vs Log l, then the slope of the line
should be the exponent, a. What do we expect that to
be?
Pendulum Lab – Sorted and Average Data Tables:
Log Rules:
log(x )
1) x  10
2) log(mn) = log(m) + log(n)
3) log(m/n) = log(m) – log(n)
n
4) log(m ) = n · log(m)
Pendulum Laboratory Report
Grading Rubric:
1.Format:
2.Descriptions and lab summaries:
3.Analysis of results:
4.Error analysis:
5.Questions answered
20%
20%
20%
20%
20%
Sample Lab Report:
http://www.writing.engr.psu.edu/workbooks/labreport2.html
(Only difference is that you need to include data plots in the
body of your report, not just as an appendix.)
Pendulum Laboratory Report
1. Data Tables included at end of report as an appendix:
a) Procedure 1 raw, average data
b) Procedure 2 raw, averaged data
c) Procedure 2 sorted data
Pendulum Laboratory Report
2. Data Plots included in body of report
a) scatter-plot of T vs. L for all amplitudes – 4 plots on
one graph using four series (a=5, 10, 15, 20 degrees)
b) scatter-plot of Log T vs. Log L for the “best” data plot
in #1 above
c) T vs. L points for m = 1, 2, 3, or another appropriate
plot
Pendulum Laboratory Report
3. Write-up
a) Typed, 12 pt font, 1.5 spacing
b) 3-5 pages long, not including appendix of data tables
c) Separate report into sections
d) Answer #1-5, making sure to cite all sources used
a) Describe the purpose of experiment
b) Describe the experiment and method
c) Describe the results
Include data plots and a description of what they
tell you – based off objectives
d) Describe possible errors that led your results to
be different from the theoretical values
Pendulum Laboratory Report
3. Write-up (continued)
e) How do your graphs and results support or refute
the theory of a simple pendulum? Your purpose
here is to discuss, in writing, what evidence there is
that indicates (or does not indicate) that the theory
is correct. Do not do any calculations for this
question. Instead, refer to the shapes, features,
and types of relations and equations shown on the
graph(s). Be sure to discuss each part of the lab.
Pendulum Laboratory Report
Due Dates:
1.Wednesday 10/6 – Intro/Procedure
2.Thursday 10/7 – Results
3.Monday 10/11 – Discussion/Conclusion
4.Monday 10/18 – Final Lab Report
5.Tuesday and Wednesday 10/19,20
UNIT 1 TEST
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