Newton’s Law of cooling calculator

Mohamad Yunos, Nurhazirah and Ahmad Khairuddin, Taufiq Khairi and Alimon, Nur Idayu and Hairol Sufhan, Muhammad Ilham and Norizan, Muhammad Hafiz Quezaimy and Mat Jalaini, Muhammad Aqeef Haqimi (2025) Newton’s Law of cooling calculator. In: Johor Innovation Invention Competition and Symposium 2025. Universiti Teknologi MARA Cawangan Johor Kampus Pasir Gudang, Universiti Teknologi MARA, Johor, pp. 191-195. ISBN 978-967-0033-57-0

Abstract

Newton’s Law of Cooling describes the rate at which an object’s temperature changes relative to its surrounding environment. This fundamental principle is widely applied in real-world contexts such as forensic science (to estimate the time of death) and food safety (to monitor cooling of cooked items). In education, this law is commonly introduced in Ordinary Differential Equations, a topic taught at diploma and bachelor’s degree levels in engineering courses. However, students often struggle to grasp the real-life application of this concept due to the lack of interactive, user-friendly tools. Currently, there is no stand-alone application that allows users to predict temperature, estimate cooling time, and visualize temperature trends over time using Newton’s Law. Manual calculation can be time consuming and error prone, especially for those without strong mathematical background. To address this gap, a stand-alone application, namely the Newton’s Law of Cooling Calculator is developed using graphical user interface Matlab. This application allows users to provide initial conditions and instantly obtain temperature values over time, or determine the time needed to reach a specific temperature. It also provides graphical visualization, making the learning process more engaging and intuitive. The application offers clear benefits in STEM education, allowing students to explore mathematical theory through real-life examples. Beyond academia, it has potential uses in forensic investigations, food industries and pharmaceutical storage. In conclusion, this innovation bridges the gap between mathematical theory and practical application. It serves as a valuable educational tool while offering real-world functionality, making it both noble and commercially viable.

Metadata

Item Type: Book Section
Creators:
Creators
Email / ID Num.
Mohamad Yunos, Nurhazirah
nurhazirah12394@uitm.edu.my
Ahmad Khairuddin, Taufiq Khairi
UNSPECIFIED
Alimon, Nur Idayu
idayualimon@uitm.edu.my
Hairol Sufhan, Muhammad Ilham
UNSPECIFIED
Norizan, Muhammad Hafiz Quezaimy
UNSPECIFIED
Mat Jalaini, Muhammad Aqeef Haqimi
UNSPECIFIED
Subjects: Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas
Q Science > QA Mathematics > Problems, exercises, etc.
Divisions: Universiti Teknologi MARA, Johor > Pasir Gudang Campus > College of Computing, Informatics and Mathematics
Event Title: Johor Innovation Invention Competition and Symposium 2025
Volume: 3
Page Range: pp. 191-195
Keywords: Newton’s Law of cooling, Differential equations, Graphical user interface matlab, Engineering
Date: 2025
URI: https://ir.uitm.edu.my/id/eprint/144392
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