# What units can measure weight?

May 22, 2018

Technically, Newtons, $\text{N}$, or a ${\text{kg"cdot"m/s}}^{2}$.

#### Explanation:

A weight is a force.
Newtons is a unit of force.

Mass in a gravitational field creates a force, but mass by itself is not a force.

${\vec{F}}_{g} = m \vec{g}$, ${\text{ "vecg = -"9.80665 m/s}}^{2}$

Mass is often used (technically incorrectly) as an indirect measure of weight. Mass is a measure of the amount of matter in a substance, not a measure of force.

Mass is more accurately a measure of inertia, $I \propto m {r}^{2}$ (where $r$ is the distance to the axis of rotation).