Pendulum Lab Report

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Introduction
In this lab we had to design a system that would test if changing the mass, angle of release and length would have any effect on the period of a pendulum.

Hypothesis
As the length, mass and angle of release change, the period (T) will change for each one of these factors.

Materials
Lab stand
Protractor
Cardboard
Fishing line
Stopwatch
Weights
Hook for weights
Tape
Ruler
Weighing scale
Logger Pro

Variables
Independent
Angle of release
Dependent
Period
Length of string
Mass of bob
Design
Procedure
First you have to set the lab up as seen above. Draw the protractor on a piece of paper and stick this piece of paper on a cardboard board. Attach this cardboard board to the lab stand with ductape. Attach the string to the lab stand and add the hook with mass to the string.

Then you can start testing the affect of change when the angle of release changes. Look at your protractor and release the pendulum at an angle of 10º. Press the timer as you let go and stop the timer as the bob made a complete cycle. Do this two more times so you have three trials for the release angle of 10º. Then make the angle of release 20º and do three trials again. Change the angel of release with 10º each time for 5 trials.

After testing the affect of change in the angle of release you can start testing the effect of change when you change the length of the pendulum. Start with any length and every time add a constant amount of extra length. Take three trials per addition of length and keep the mass the same. For example, you start with a mass of 50gr and a length of 20 cm, you test the period of the pendulum with length of 20 cm three times using the same angle of release. And after three trials, you add 2 cm, so you have 22 cm, and take three trials again, and you keep doing this until you have 10 sets with 3 trials.

As last we test the affect of change when the mass is changed. Start with a mass of 50gr and keep the length the same and the angle of release also the same. Then take 3 trials with the mass of 50gr. And add 5 gr. Take three trials with a mass of 55 gr and add another 5gr. Keep doing this until you have 10 sets of 3 trials with different masses.

After recording all your data you should analyze it on logger pro. And seeing which line or curve fits the data best.
Data
Change in angle
Angle1020304050
10.981.071.041.101.10
21.031.021.101.151.05
30.871.001.061.031.18
41.051.051.130.961.09
50.841.031.170.971.03
average0.951.051.101.041.09


Change in weight
Weight50gr60gr70gr80gr90gr
10.940.851.051.081.05
21.050.951.021.051.05
30.980.841.150.911.02
41.081.011.081.071.16
51.061.011.041.061.12
Average1.020.921.0681.031.08
Weight100gr110gr120gr130gr140gr
11.061.051.021.051.05
21.001.021.061.070.96
31.071.041.021.050.97
41.061.101.041.081.05
51.021.011.160.981.06
average1.041.041.061.051.018


Change in length
Length29 cm31 cm34 cm36 cm38 cm
11.080.941.211.181.30
21.061.051.311.171.18
31.100.981.001.101.16
41.051.081.151.081.16
51.051.061.171.101.11
Average1.101.0221.171.131.18
Length40 cm42 cm44 cm46 cm48 cm
11.151.201.111.431.29
21.341.341.261.131.33
31.161.361.351.391.34
41.351.191.111.321.31
51.281.201.121.241.26
Average1.271.261.201.301.31

Data Evaluation and Conclusion

My conclusion for this experiment is that not every part of the pendulum is related. There was only a significant change when the length of the pendulum released. Based on my data points I have found formulas to demonstrate the relationship between each factor, which was either the mass of the bob, the angle of release and the length of the pendulum that affected the period of the pendulum.

The curve for the data from the angle of release was not very accurate because it...
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