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

TL;DR

This paper details an undergraduate physics experiment to determine water density using a metal rod and water container, emphasizing measurement techniques, data analysis, and computational tools for educational purposes.

Contribution

It introduces a comprehensive theoretical and computational framework, including Python code, to enhance understanding of hydrostatics and data analysis in water density experiments.

Findings

Successful determination of water density through controlled measurements.

Effective use of regression analysis and Python tools for data fitting.

Educational insights into experimental physics concepts and data interpretation.

Abstract

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.