# Why is the moment of inertia important?

Apr 27, 2018

To allow calculation of the angular acceleration that results when a certain torque is applied.

#### Explanation:

The formula
$F = m \cdot a$
applies in linear motion.

Moment of inertia is given the variable name $I$.

The formula
$\tau = I \cdot \alpha$
applies in angular motion.
(In words,
$\text{torque" = "moment of inertia"*"angular acceleration}$)

I hope this helps,
Steve