Experimental Physics Laboratory 2: Calculating the Value of Water Density using Metal Rod and Water Container

Fuente: arXiv
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Autore principale: Santos-Pereira, Osvaldo L.
Natura: Preprint
Pubblicazione: 2025
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author Santos-Pereira, Osvaldo L.
author_facet Santos-Pereira, Osvaldo L.
contents This article presents a detailed analysis of an undergraduate physics laboratory experiment designed to determine the density of water using fundamental measurement techniques and data analysis methods. The experimental setup consists of a precision scale, a graduated container filled with water, and a suspended metal rod held by a crank, allowing for controlled displacement measurements. The primary objective of this experiment is to reinforce essential concepts in experimental physics, particularly in deriving physical models that correlate measurable quantities, performing precise measurements, and analyzing data using regression techniques via ordinary least squares methods for fitting data into linear models. This article aims to provide students with a theoretical and computational aid to explore the physical interpretations of this experiment. I developed a theoretical framework to introduce the fundamental concepts of hydrostatics, Newtonian mechanics, and the primary equations used in the experiment. I supplied Python code with thorough explanations that performs analysis on the experiment.
format Preprint
id arxiv_https___arxiv_org_abs_2508_02682
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Experimental Physics Laboratory 2: Calculating the Value of Water Density using Metal Rod and Water Container
Santos-Pereira, Osvaldo L.
Physics Education
Data Analysis, Statistics and Probability
Physics and Society
This article presents a detailed analysis of an undergraduate physics laboratory experiment designed to determine the density of water using fundamental measurement techniques and data analysis methods. The experimental setup consists of a precision scale, a graduated container filled with water, and a suspended metal rod held by a crank, allowing for controlled displacement measurements. The primary objective of this experiment is to reinforce essential concepts in experimental physics, particularly in deriving physical models that correlate measurable quantities, performing precise measurements, and analyzing data using regression techniques via ordinary least squares methods for fitting data into linear models. This article aims to provide students with a theoretical and computational aid to explore the physical interpretations of this experiment. I developed a theoretical framework to introduce the fundamental concepts of hydrostatics, Newtonian mechanics, and the primary equations used in the experiment. I supplied Python code with thorough explanations that performs analysis on the experiment.
title Experimental Physics Laboratory 2: Calculating the Value of Water Density using Metal Rod and Water Container
topic Physics Education
Data Analysis, Statistics and Probability
Physics and Society
url https://arxiv.org/abs/2508.02682