Magnitude of Force

The magnitude of force is the size or strength of the force acting on an object, regardless of its direction.  It is a scalar quantity, meaning it only has magnitude (size) and no directional component.

 

Magnitude of Force Formula
\( F_m \;=\;  \sqrt{ F_x^2 + F_y^2 }  \)
Symbol	English	Metric
\( F_m \) = Magnitude of Force	\(lbm\)	\(kg\)
\( F_x \) = x Component of the Force Vector	\(dimensionless\)	\(dimensionless\)
\( F_y \) = y Component of the Force Vector	\(dimensionless\)	\(dimensionless\)