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Een spiraal van rechthoeken rond een vierkant
Een spiraal van rechthoeken rond een vierkant
Sinds enkele jaren ben ik op zoek naar eenvoudige wiskundige en fysische problemen die onverwacht gerelateerd zijn met het getal \(\pi\). In The bouncing balls and pi beschreef ik eerder al hoe de opeenvolgende decimalen van \(\pi\) kunnen berekend worden door twee ballen volledig elastisch tegen elkaar en tegen een muur te laten botsen. In dit artikel zal ik aantonen hoe het getal \(\pi\) tevoorschijn komt door een oneindige serie rechthoeken met oppervlakte 1 spiraalsgewijze aan elkaar te kleven. In een veralgemening van dit probleem duikt op een natuurlijke wijze de gammafunctie en de formule van Stirling op.
Van den Broeck Luc
Prática 09 - Ondas Estacionárias
Prática 09 - Ondas Estacionárias
Relatório do Trabalho Prático nº 9 de Física Experimental II
Egmon Pereira
El Colisionador de Hadrones
El Colisionador de Hadrones
Articulo Colisionador de Particulas
yosef
Impact Crater Lab
Impact Crater Lab
The impact crater of a small metal ball of 63.7 grams (0.0637kg) is dropped from 8 different heights, ranging from 0.20m to 0.90m was observed. A mean was measured for the craters diameter. Using the equation E=mg$\Delta$h given that we have m, and g is a constant of 9.81 we can find the kinetic energy of the ball on impact. The relationship between crater diameter, D, and impact energy, E, is given by D=kE$^n$ where K is constant and n is found by the gradient of the graph and is also constant. This can be modified to give $\log D = n\log E + \log k$.
Will Wrathall
Notions principales de la thermodynamique
Notions principales de la thermodynamique
Chapitre 1, Peip1, Polytech'Nice Sophia
Rémy Collie
Materials 1 Lab Report
Materials 1 Lab Report
The aim of this laboratory work is to design a strut/bracket assembly for aircrafts. Experiments are carried out to determine mechanical properties of certain materials.The material chosen is Mild Steel. Given the possible condition experienced by the material and the safety factor, the dimensions for the designs of the strut/bracket assembly for aircrafts are obtained to avoid failure by yield or fracture. The diameter of the pin, d ,which is subjected to shear stress should be larger than 14.56mm. The diameter of the rod, D, should be larger than 12.74mm. The thickness of the rod would be 10mm.
Chen Zhi Shen
How to use axions to shine light through walls
How to use axions to shine light through walls
The axion is a hypothetical particle, introduced by the Peccei-Quinn theory in 1977 as a solution to the strong CP problem in quantum chromodynamics. The axion, if it exists, must have a very small mass, and must be very weakly interacting with baryonic matter, giving it the abbreviation WISP (Weakly Interacting Sub-ev Particle). The predicted attributes of the axion would give it the ability to pass directly through an opaque wall without obstruction, and this is how the ALPS experiment (Any Light Particle Search) at DESY in Hamburg is exploring the possibility of their existence. In this report, we will use matrix methods to reproduce the relationship between axion mass and axion coupling as published by the ALPS experiment \autocite{Ehret, K. et al (2010). New ALPS results on hidden-sector lightweights} in 2010, using their conversion probability to plot the result. Note that all equations, unless otherwise stated, are in natural units ($c=1$, $\hbar = 1$).
Nicholas Montague
Pratica 7 - Oscilações Sistema Massa-Mola
Pratica 7 - Oscilações Sistema Massa-Mola
Trabalho prático em Física Experimental II
Egmon Pereira
Th\'eorie cin\'etique des gaz parfaits.
Th\'eorie cin\'etique des gaz parfaits.
Chapitre 2, Peip2, Polytech'Nice Sophia, sans les sch\'emas et applications sch\'ematis\'ees
Rémy Collie

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