Peter Dougherty i 3IBA vann 1. prisen i konkurransen Unge forskere 2015 i klassen for naturvitskap og teknologi. Han leverte sitt Extended essay i fysikk der Erlend Harbo har vore rettleiar.

Peter skal i tillegg delta i ein konkurranse i regi av EU-kommisjonen for Europas mest talentfulle unge forskarar. Dessutan skal han delta i Intel i USA som er verdas største forskningskonkurranse for ungdom.
Og til slutt skal han delta på det vekeslange Stockholm international youth science seminar i samband med utdelinga av Nobelprisane.

Vi gratulerer og ønskjer han lukke til først med eksamen, så med Fysikk-OL i India i juli der Peter er ein av 5 norske deltakarar og med prisen i Unge forskere!

Teksten under er tatt frå nettsida til Unge forskere: http://www.proscientia.no/prognett-proscientia/Prislister/1244733985960

 

1. pris: 10 000 kroner

Spesialpriser: EuCys, Intel/ISEF, SIYSS

Navn: Peter Erdmann Dougherty 

Skole: Kristiansand Katedralskole Gimle

Alder: 18 år

Tittel: Modelling Coupled Metronome Systems; an Application of the Kuramoto Model

Sammendrag:

The purpose of this essay is to investigate the evolution of two ticking metronomes that lie on a light, movable surface, such as a skateboard. Any such system where the metronomes tick unsynchronized will eventually synchronize, so long as the frequencies of the metronomes is identical. This is due to a transferal of momentum from the pendulums through the movable surface. This results in a form of interference between the transferred momentums of the metronomes. This behavior is quite interesting to watch, and has spawned several viral videos.

My research question for this project is To what extent does the Kuramoto model provide a theoretical framework for a coupled system of metronomes?  The Kuramoto model, named after Japanese physicist Yoshiki Kuramoto, provides a general differential equation for N coupled oscillators. Our skateboard scenario provides such a coupling for the metronomes.  I adjust and solve the corresponding equation for N=2, obtaining a theoretical model for the evolution and eventual synchronization of the coupled system.

To test the model, I collected data of two metronomes synchronizing by recording the time lag between their ‘ticks’, which turned out to be a rather arduous affair. I did this with the audio software Audacity. Because the model does not predict a clean linear relationship, I transformed it through a function that my model predicted would yield a linear graph. The corresponding correlation was strong, and the data fit well. However, the model broke down as the phase difference approached very small values. The Kuramoto model was able to accommodate for this when I changed my assumption that the metronomes had identical frequencies (they did in fact not). With this correction, I conclude that the Kuramoto model provides a highly useful framework for the coupled metronome system consisting of two metronomes. However, more research is required to give a complete picture of the model’s application, including its use in multi-metronome systems. 

av Lauritsen, Vibeke, publisert 21. april 2015 | Skriv ut siden