Moment of inertia:

$\overline{){\mathbf{I}}{\mathbf{=}}{\mathbf{\int}}{{\mathbf{r}}}^{{\mathbf{2}}}{\mathbf{d}}{\mathbf{m}}}$

Given the mass density to be ρ, the moment of inertia becomes:

$\overline{){\mathbf{I}}{\mathbf{=}}{\mathbf{\int}}{{\mathbf{r}}}^{{\mathbf{2}}}{\mathbf{\rho dV}}}$

From the equations:

The moment of inertia does not depend on the linear speed, linear acceleration, angular speed, and angular acceleration.

On which of the following does the moment of inertia of an object depend?

Check all that apply.

linear speed

linear acceleration

angular speed

angular acceleration

total mass

shape and density of the object

location of the axis of rotation

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Moment of Inertia via Integration concept. You can view video lessons to learn Moment of Inertia via Integration. Or if you need more Moment of Inertia via Integration practice, you can also practice Moment of Inertia via Integration practice problems.