Simple Pendulum lab not so simple

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SUMMARY

The discussion focuses on setting up a graph for a Simple Pendulum lab, specifically creating a period squared (T^2) vs. length (L) graph. Participants emphasize the importance of varying the length of the pendulum while measuring the period to establish a relationship between these variables. Key issues include ensuring data is in SI units (meters) and correctly averaging time trials in Excel. The formula T = 2π√(L/g) is critical for calculating the expected slope, which should approximate 9.81 m/s² for gravity.

PREREQUISITES
  • Understanding of simple pendulum mechanics
  • Familiarity with graphing in Excel
  • Knowledge of SI units, specifically converting centimeters to meters
  • Ability to calculate averages and apply formulas in spreadsheets
NEXT STEPS
  • Learn how to correctly format and graph data in Excel
  • Study the derivation of the pendulum period formula T = 2π√(L/g)
  • Research methods for averaging multiple data sets in Excel
  • Explore the significance of unit conversion in scientific experiments
USEFUL FOR

Students conducting physics experiments, educators teaching pendulum dynamics, and anyone involved in data analysis using Excel for scientific research.

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This lab I would LOVE to use as TP. I'm sure its me being stupid and not really the lab. The problem I have it trying to set up a graph for this. I don't know if I did it right. My numbers seem way off. I'm supposed to make a period^2 vs length graph. Part of what I don't get is if I'm using the saxe x-value the isn't it going to be just a vertical line? Could someone just check out to see if its right?
 

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What are you varying (independent variable)? And what are you measuring (independent variable)? What is the purpose of the lab?

~H
 
If you keep the x value the same you will get a single value for the period and thus only a single point on the graph. I believe the purpose of this lab would be to determine the relationship between period and length and thus you must vary one (which one I'll leave for you to decide).
 
Why do you say that your values seem to be wrong? Which values are you referring to (the periods I guess since your lenghts are probably right).
 
You don't say either in your question or on your graph what x and y are supposed to represent.
You do say "I'm supposed to make a period^2 vs length graph."
Okay, so I presume that you are timing the periods for several different pendulums of several different lengths. Are you taking the length of the pendulum as x and the square of the period as y or vice-versa?
 
You are suppose to have the x-values in one column and the corresponding y-values in the column next to it in Excel. Then select both columns by dragging over them before drawing the graph. Your data points do not have x-coordinates in the graph! Which means there was some thing wrong with your data selection before you drew the graph.
 
Last edited:
x=length
y=T^2, period^2

For each length, we had five time trials. The slope of the line is to determine gravity of the pendulum which should be 9.81. The values are completeley off. When I calculate some of the values using the formula for the period of a simple pendulum, I get close. I guess what I'm askiing is they way I have that spreadsheet set up-is it right? Are the values really that far off or am I doing something wrong?
 
The values do'nt seem to be in SI units either.
 
I just wanted to say thanks for the help. I guess everyone was having diffculity with the lab so he gave us some pointers and extended the deadline. Thanks again!
 
  • #10
It looks like the length of your pendulum, plus the radius of the ball is in the range d4:d9. This appears to be in cm, you need it in meters. Excell hint. you do this formula (=d4+c4) where c4 contains the radius, if you instead use (= d4 +$c$4) you can then drag to fill the rest of your data and the value in c4 will be added to each. This will help avoid errors like in cell d8.

It looks like the time for each trial is in columns in the range b13:g19, you need to compute the average of these numbers (by column)

Now the relationship between Length and period is

T = 2 \pi \sqrt{ \frac L g}

so your line is
L = {(\frac T {2 \pi})}^2 g

You will need the factor of 2 pi if you want a slope of 9.8.

It would be easiest if you placed the column containing

{ (\frac T {2 \pi})}^2

adjacent to a column containing the corresponding lengths. I got a slope of 9.71.
 
Last edited:

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