Dimensional analysis is very important for high school subjects, more specifically, physics (phýsis). In this post, we will show that 80% of the physics entrance exam questions are solved by dimensional analysis.

The author who initiated dimensional analysis was Galileo Galilei. Below we present the work of Galileo.

Galileo’s work Galileo Galilei Linceo

Dimensional Analysis (Descartes, Leibniz, Newton and Galileo)

Today, we study in physics the units of the International System (SI), which emerged as a global standardization. All of this is due to globalization, or specifically, world trade.

Units (SI) Formulas

Importance of Dimensional Analysis

For example, if you mount a car headlight in Brazil, this product must be able to fit into a German or American car. In this way, units in the international system are important. Galileo was already concerned about this at this time, later used by Newton, Leibniz and other famous mathematicians.

Grafiko's Galileo.

Entrance exam problems solved by Dimensional Analysis

Here, to solve some entrance exam exercises, we will use concepts shown in other posts, such as portions, rates, among others. It is worth remembering that 70% to 80% of chemistry and physics tests can be solved with dimensional analysis.

Mackenzie Agulhas Negras Military Academy (AMAN)
FUVEST (USP) Armando Alvares Penteado Foundation (FAAP)
Armando Alvares Penteado Foundation (FAAP) FEI University Center