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Consortium for Mathematics and its Applications

Product ID: Model Reality Check
Supplementary Print
Undergraduate

Is Cooling Exponential?

Author: Daniel Kaplan


Introduction

We often model temperature change as an exponential process: According to Newton's law of cooling, the object temperature approaches the ambient temperature (e.g., room temperature) exponentially. But Newton's law of cooling is only a model; how accurate is it? We examine a dataset and compare it against Newton's law. We do the analysis using RStudio, an open-source front end and development environment for the statistical language R [RStudio 2016].

©2017 by COMAP, Inc.
The UMAP Journal 38.1
8 pages

Mathematics Topics:

Application Areas:

Physics

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