Before beginning the material on dimensional analysis, it is worth considering a simple example that demonstrates what we are doing. One that qualifies as simple is the situation of when a object is thrown upwards. The resulting mathematical model for this is an equation for the height x(t) of the projectile from the surface of the Earth at time t. This equation is determined using Newton’s second law, F = ma, and the law of gravitation.
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© 2009 Springer Science+Business Media, LLC
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Holmes, M.H. (2009). Dimensional Analysis. In: Introduction to the Foundations of Applied Mathematics. Texts in Applied Mathematics, vol 56. Springer, New York, NY. https://doi.org/10.1007/978-0-387-87765-5_1
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