Recently Added Physical Formulas

Current Location  >  Physics Formulas > Mechanics > Moment of Inertia

Moment of Inertia

The moment of inertia of is given by:


Where we have:
m: mass
R: radius ( from the axis O to the object )

The following is a list of moment of inertia for some common homogeneous objects, where M stands for mass and the red line is the axis the objects rotating about.

Object Illustration Moment of inertia
Particle Md2
The distance between the particle and the axis is d.
Bar ML2/3
The length of the bar is L
Bar ML2/12
The length of the bar is L
Rectangular plate ML2/12
The length of the plate is L and is orthogonal to the axis.
Rectangular plate M(L2 + W2)/12
L is the length and W is the width
Circular plate MR2/2
R is the radius of the ring
Circular plate MR2/4
R is the radius of the ring
Ring MR2
R is the radius of the ring
Cylinder MR2/2
R is the radius of the caps
Cylinder MR2/4 + ML2/12
R is the radius of the caps and L is the height of the cylinder
Spherical surface 2MR2/3
R is the radius
Sphere 2MR2/5
R is the radius


Web-Formulas.com © 2017 | Contact us | Terms of Use | Privacy Policy | Yellow Sparks Network
Web Formulas