Contents

The oscillation motion of a simple pendulum

g calculation:

* 1st Senior High School-Aigio: pendulum length 112cm

* Rekaldeberri BHI: pendulum length 80 cm

* 6th High School of Serres: pendulum length 60 cm

* 3rd General Lyceum of Serres: pendulum length 40 cm

* IES Iturrama BHI:  pendulum length 20 cm

* Collaborative results

Pendulum of 112 cm

 1st Senior High School of Aigio   

The students of our school studied the oscillation of a pendulum 112 cm long.

Here is the link of our video:

https://drive.google.com/file/d/1munysaigEaWpttpARaU-gELxhDMKQec3/view

(You have to copy and paste it on your browser

As can be seen in the Data Analysis Tool, the angular frequency of the pendulum oscillation equals ω=2,95 rad/s, which, for a pendulum of length L=1,12m gives a result of g=Lω^2=9,75m/s^2, which is less than 1% smaller than the theoretically expected value of g=9,81m/s^2.

Tracker analysis automatically calculates the angular frequency of pendulum oscillation as constant B.

Constant B is equal with ω=2,9557rad/s.

And so T=2π/ω=2,125 s

The video analysis using Tracker is also available in the link below

https://drive.google.com/file/d/1Yqxifs01n9_Z_nIO_uvNxIGemhOvjf9X/view

You have to download the file in your computer and open it with Tracker software.

     Pendulum of 80 cm

        Rekaldeberri BHI (Bilbao, Spain) 

Our pupils measured the period of a 80 cm long pendulum using Tracker video analysis free software.

Here is the link of our video:

https://www.youtube.com/watch?v=XYzrra-iwZY

(You have to copy and paste it on your browser)

We used Tracker online. Here is a Tracker's screenshot,

and the corresponding link that shows the process.

https://www.loom.com/share/9d3954aa42d44dff9d49d1b25b9b0001?sid=a8ea791c-abf7-4eb7-b4a7-fde8383eafce

Finally we calculated the period of our pendulum.

The result is: T= 1,745 sec. 

 Pendulum of 60 cm

                          6th High School of Serres

The students of the 6th High School  of Serres studied the 60 cm long pendulum. First they created the pendulum swing video. This video was used to measure the oscillation period of the pendulum with the help of "Tracker video analysis" software.

Here is the link of our video:

https://drive.google.com/file/d/1qyTIsa9UCEsM-2XIEHwXpmZpQywzGef0/view?usp=sharing

(You have to copy and paste it on your browser)

Here are some screenshots from Tracker Video Analysis.

                                                                                      Double-click the x-t graph. 

                                                                          Find the period from two suitable                                                            points on the graph or by using the                                                                     values of x and t.

Using the constant B derived from the equation approximating our experimental points in the Tracker, we calculated the period of the pendulum's oscillation.

T = 2π / ω = 6.28 / ω = 1.565 sec

Finally, here is the link of full Tracker file where you can see the full analysis of the pendulum swing.

https://drive.google.com/file/d/1WGC3aL8gmROsg8FZaZIp3j3mC6qa0icN/view

You have to download the file in your computer and open it with Tracker software.

            Pendulum of 40 cm

                              3rd General Lyceum of Serres

The students of the 3rd General  Lyceum  of Serres studied the 40 cm long pendulum. First they created the pendulum swing video. This video was used to measure the oscillation period of the pendulum with the help of "Tracker video analysis" software.

Here is the link of our video:

https://www.youtube.com/shorts/3WjyKbXeXKU

(You have to copy and paste it on your browser)

Here are some screenshots from Tracker Video Analysis. The simple harmonic oscillation made by the pendulum is approximated by a sinusoidal function.

                                                   The main screen of Tracker.

                                                    (left image)       

The Tracker's secondary

screen that gives us the

equation that approximates

our experimental points.

(right image)