SI
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Fundamental quantities of the SI system:
SI stands for βSysteme International dβ Unitesβ in
French.
This abbreviation is now adopted by the International
Standardizing Organization as the abbreviated name
of this new system of units in all languages.
Dimension
A derived unit is recognized by the dimensions and can be defined as the complete algebraic formula for the derive unit.
Dimension equation help:
-In conversion from system of units to another one
-In derivation of equations for physical quantities
- In checking the accuracy of an equation
How to find the dimension of derived units?
Velocity : [V] = [πΏπππβπ‘] / [Time] = [πΏ] / [ π] = [πΏπ^β1 ]
Acceleration : π = [πππππππ‘π¦] / [ ππππ] = [πΏπ^ β1] / [ π] = [πΏπ^ β2 ]
Force : πΉ = [πππ π ] Γ [π΄ππππππππ‘πππ] = [π][πΏπ^ β2 ] = [ππΏπ^ β2 ]
Work : π = [πΉππππ] Γ [πΏπππβπ‘] = [ππΏπ^ β2][L] = [ππΏ^ 2π^ β2 ]
Power : π = [ππππ] / [ππππ] = [ππΏ^ 2π^ β2] / [ π] = [ππΏ^ 2π^ β3 ]