Dimensional Analysis and Using Units

Concept

Derived Units

Derived units are units of measurement formed by multiplying or dividing base units in different combinations.

Quantity (Symbol) Expression Base Units Unit Symbol (Name)
Area (A) length * width m^2 m^2
Volume (V) area * height m^3 m^3
Speed (r) distance/time .m /s. .m /s.
Acceleration (a) speed/time .m /s^2. .m /s^2.
Density ( ) mass/length^3 .kg /m^3. .kg /m^3.
Force (F) mass * acceleration .kg* m /s^2. N (newton)
Pressure (P) force/area .N /m^2. Pa (pascal)
Energy (E) force * distance N*m J (joule)
Power (P) force* distance/time .J /s. W (watt)
Frequency (F) 1/time .1 /s. Hz (hertz)

The derived units shown in this table are only some of the many possible combinations of base units.

Exercises
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