Question

The SI unit of moment of inertia is ___.

Answer 1

Definition of the moment of inertia: The moment of inertia is defined as the property of a body by virtue of which it opposes the angular acceleration.

Formula of the moment of inertia: Moment of Inertia, $I=\sum m_i{r_i}^2$, where $m_i$ is the mass of the $i^{th}$ particle in a body and $r_i$ is the distance of the $i^{th}$particle from the axis of rotation.

S.I. unit of moment of inertia:

$$\begin{gathered} I=kg\times m^2 \\ I=kg{m}^2 \end{gathered}$$

Thus, the S.I. unit of the moment of inertia is $kg{m}^2$.