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Análisis dimensional en Física

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Análisis dimensional en Física

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Aprende a expresar magnitudes en unidades fundamentales y derivadas

Created by

wilmer valle caballero
wilmer valle caballero
Peru

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Análisis dimensional en Física
 

Análisis dimensional en FísicaOnline version

Aprende a expresar magnitudes en unidades fundamentales y derivadas

by wilmer valle caballero
1

Introducción al análisis dimensional

El análisis dimensional relaciona magnitudes derivadas con fundamentales. Permite verificar fórmulas y convertir unidades. [Dimensional analysis overview]

2

Magnitudes fundamentales y derivadas

Las magnitudes se dividen en fundamentales y derivadas. Las derivadas se expresan en función de las básicas.

3

Fórmula dimensional: definición

Una fórmula dimensional muestra cómo una magnitud derivada se expresa con las fundamentales, de forma genérica.

4

Ejemplo: área y volumen

Área: [A] = L²; Volumen: [Vol] = L³. Estas relaciones se usan para verificar ecuaciones.

5

Ejemplo: velocidad y aceleración

Velocidad: [v] = LT⁻¹; Aceleración: [a] = LT⁻². Permiten construir otras derivadas como fuerza o energía.

6

Ejemplo: fuerza y trabajo

Fuerza: [F] = MLT⁻²; Trabajo: [W] = ML²T⁻². Estas relaciones conectan magnitudes con unidades.

7

Peso, presión y potencia

Peso: [P] = MLT⁻²; Presión: [Pres] = M L⁻¹ T⁻²; Potencia: [Pot] = ML²T⁻³. Verifica coherencia entre fórmulas.

8

Caudal, densidad y energía

Caudal: [Q] = L³T⁻¹; Densidad: [D] = ML⁻³; Energía: [E] = ML²T⁻². Útiles para aplicaciones en fluidos y termodinámica.

9

Aplicación práctica

Usa las fórmulas dimensionales para comprobar que una ecuación física conserve unidades y sea razonable. Practica con ejemplos de la guía.

 
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