Page 1 of 1

Module Code - Title:

PH6091 - SCALAR AND VECTOR MEASUREMENT AND ANALYSIS OF ENERGY

Year Last Offered:

2025/6

Hours Per Week:

Lecture

2

Lab

2

Tutorial

1

Other

0

Private

5

Credits

6

Grading Type:

N

Prerequisite Modules:

Rationale and Purpose of the Module:

The purpose of this module is to enhance students understanding of key concepts and models associated with forces, potentials and fields. The objectives are to introduce and model kinematics, dynamics, planetary dynamics, fluid mechanics and electromagnetism using concepts such as magnitude, direction, rate-of-change, gradient and fields and to measure such quantities using instrumentation and software reinforcing the students' understanding of theory with applied experiments.

Syllabus:

In this module, we will explore the fundamental concepts and principles that underpin our understanding of the physics of energy and the measurement and analysis of physical quantities. Through a combination of theoretical study, practical applications, and hands-on experiments, we will investigate the mathematics used by physicists and engineers to model kinematics, forces, dynamics, and fields, giving a clearer understanding of the world around us. We will also emphasize the evaluation of measurement errors and the analysis of tolerance in calculations to ensure accuracy and reliability in our findings. 1. Kinematics: Review of Vectors and Scalars; Displacement, Velocity, Flux, Acceleration; Rotation, Frequency, Angular Velocity; Planes of Reference, Rotation of Axes; Cylindrical and Spherical Coordinates 2. Forces: Stress, Strain, Pressure, Tension; Electricity, Gauss's Law, Magnetism; Work, Potential, Conservation of Energy 3. Dynamics: Newton's Laws; Forces as a Function of Time and Space; Rate of Change of Forces and Other Vectors; Tangential Forces, Centripetal, and Centrifugal Forces 4. Fields: Visualization of Scalar and Vector Fields; Maxima and Minima; Contour Maps, Smoothness; Gradient, Curvature Conservative Fields and relationship to Gravity and Electricity 5. Divergence and Vortices and their Significance for: Electromagnetism; Fluid Mechanics 6. Introduction to Maxwell's Equations Throughout the module, we will conduct experimental measurements of vector and scalar quantities, allowing us to apply the theoretical concepts in real-world scenarios. We will also focus on evaluating measurement errors, understanding sources of uncertainty, and analyzing tolerance in calculations to ensure precision and accuracy in our results. By the end of this module, you will have gained a solid foundation in the measurement and analysis of energy, equipped with the skills to conduct experiments, evaluate errors, and maintain rigorous standards of calculation precision.

Learning Outcomes:

Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis)

Cognitive (Knowledge, Understanding, Application, Analysis, Evaluation, Synthesis) On successful completion of this module students will be able to: Solve problems involving kinematics and dynamics. Develop an in-depth understanding for scalar and vector fields. Solve problems involving forces which are a function of several variables. Describe the qualities of fields, including smoothness, gradient and divergence and vortices. Derive Maxwell's equations and understand the relationships between magnetic and electric field parameters. Describe the relationship between fields and forces and apply Gauss's and Kelvin-Stokes theorem's to simple cases.

Affective (Attitudes and Values)

Affective (Attitudes and Values) On successful completion of this module, students will be able to: Value the usefulness of mathematical models towards comprehending physical systems. Appreciate the broad applicability of similar models across diverse fields of physics and engineering. Embrace the significance of measurement errors and the importance of tolerance in the measurement and analysis of physical systems.

Psychomotor (Physical Skills)

Psychomotor (Physical Skills) On successful completion of this module, students will be able to operate a camera for the purposes of using tracking software and will have basic operating tracking software skills. The student will be able to implement basic electronics circuits for instrumentation of experiments using a microcontroller for measurement and analysis of physical quantities.

How the Module will be Taught and what will be the Learning Experiences of the Students:

This module provides students with practical skills and theoretical knowledge in energy measurement and analysis. Through interactive lectures, labs, and problem-based private study, students develop critical thinking, technical proficiency, and creativity encouraging students to be curious and giving them the tools to have the self-confidence in their arguments. They will learn to apply their discipline knowledge proactively, explore new possibilities, and develop technical expertise. This module prepares future agile-minded engineers and scientists for significant contributions in energy measurement and analysis.

Research Findings Incorporated in to the Syllabus (If Relevant):

Prime Texts:

Spiegel, M (2009) Vector Analysis (2e) , McGraw-Hill
Haliday, D., Resnick, R. and Walker, J. (2021) Fundamentals of Physics (12e) , Wiley
Kreyszig, E (2011) Advanced Engineering Mathematics (10e) , Wiley

Other Relevant Texts:

Marsden, J. and Tromba, A (1996) Vector Calculus , Freeman
Danielson, D. A (1992) Vectors and tensors in engineering and physic , Addison-Wesley
Tang, Kwong-Tin (2007) Mathematical Methods for Engineers and Scientists 2: Vector Analysis, Ordinary Differential Equations and Laplace Transforms , Springer-Verlag
Fleisch, D. A (2012) A student's guide to vectors and tensors , Cambridge University Press
Riley, K.F., Hobson, M.P. and Bence, S.J. (2006) Mathematical Methods for Physics and Engineering (3e) , Cambridge University Press
Schey Hm (2005) Div, Grad, Curl and All That (4e) , W.W. Norton & Co.

Programme(s) in which this Module is Offered:

MSESAETFA - ENERGY SCIENCE AND ENGINEERING

Semester(s) Module is Offered:

Autumn

Module Leader:

david.mcnulty@ul.ie