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Appendix B: Units and Dimensional Analysis

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Appendix B: Units and Dimensional Analysis

This appendix is internal to the Classical Physics book.

SI Base Units

QuantityUnitSymbol
Lengthmetrem
Masskilogramkg
Timeseconds
CurrentampereA
TemperaturekelvinK

Dimensional Analysis

Every physically meaningful equation must be dimensionally consistent. For example, Newton's second law:

[F]=[m][a]=kg⋅m⋅s−2=N[F] = [m][a] = \text{kg}\cdot\text{m}\cdot\text{s}^{-2} = \text{N}[F]=[m][a]=kg⋅m⋅s−2=N