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Dimensional Analysis and Dimensionless Numbers

Buckingham Pi theorem, dimensional analysis method, and key dimensionless numbers in engineering.

dimensionalanalysis

Overview

Engineering reference data for Dimensional Analysis and Dimensionless Numbers in basics.

Key Formulas

Ohm's Law

V=IRV = IR

Voltage = Current × Resistance.

Newton's Second Law

F=maF = ma

Force = mass × acceleration.

Conservation of Energy

Ein=Eout+ΔEstoredE_{in} = E_{out} + \Delta E_{stored}

Energy balance.

Variables

Symbol Description Unit
VV Voltage V
II Current A
RR Resistance Ω
FF Force N
mm Mass kg
aa Acceleration m/s²

References