# What is the moment of inertia of a rod with a mass of 4 kg and length of 18 m that is spinning around its center?

Jan 18, 2016

Inertia is the tendency of a body to stay at rest or in constant motion, this concept can be extended to rotational.

Moment of Inertia L - is a measure of an object's resistance to changes in a rotation direction. Moment of Inertia has the same relationship to angular acceleration as mass has to linear acceleration.

For a point mass the Moment of Inertia is the mass times the square of perpendicular distance to the rotation reference axis and can be expressed as

$L = m {r}^{2}$

where

L = moment of inertia (kg ${m}^{2}$)

m = mass

r = distance of mass from the axis or rotation