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Solid Cylinder - Diameter
This page provides a diagram and functioning calculator to compute the mass moment of inertia for a solid cylinder about it's central diameter.
I
=
1
4
m
r
2
+
1
12
m
l
2
I = \frac{1}{4}mr^2+\frac{1}{12}ml^2
I
=
4
1
m
r
2
+
12
1
m
l
2
The following are the variables for the equations...
I
= the moment of inertia (
m
2
k
g
).
l
= the length of the rigid body (m).
m
= the body's mass (kg).
r
= distance between the centroid of the body and the axis, i.e. the radius (m).
Figure 1: Diagram Of The Moment of Inertia For A Solid Cylinder
Calculation
Inputs
Mass, m
:
10.00
kg
Length of the cylinder, l
:
5.00
m
Radius, r
:
1.50
m
Output
Moment of Inertia
:
26.46
kg m^2
I
=
1
4
m
r
2
+
1
12
m
l
2
I = \frac{1}{4}mr^2+\frac{1}{12}ml^2
I
=
4
1
m
r
2
+
12
1
m
l
2
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