Secondary Dimension and Units

Secondary dimensions are derived from the combination of primary dimensions.

Secondary Dimension Symbol SI Unit English Unit
Velocity \(v\) m/s ft/s
Acceleration \(a\) m/s\(^2\) ft/s\(^2\)
Volume \(V\) m\(^3\) ft\(^3\)
Force \(F\) (\(= ma\)) N (Newton) lb\(_f\) (pound-force)
Pressure \(P\) (\(= F/A\)) N/m\(^2\) lb\(_f\)/in\(^2\) (psi)
Energy, Work \(E\) (\(= Fd\)) J (Joule = N.m) ft.lb\(_f\)
Power \(P\) W (= J/s) ft.lb\(_f\)/s

Note that there are many other units, both SI and English, in use today. For example, power is often expressed in units of horsepower, in addition to the standard units of watt. There are conversion factors to enable conversion from any of these units to any other.