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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=14mr2+112ml2I = \frac{1}{4}mr^2+\frac{1}{12}ml^2

The following are the variables for the equations...

  1. 
    
    = the moment of inertia (
    
    ).
  1. 
    
    = the length of the rigid body (m).
  1. 
    
    = the body's mass (kg).
  1. 
    
    = 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
:10.00kg



Length of the cylinder, l
:5.00m



Radius, r
:1.50m


Output



Moment of Inertia
:26.46kg m^2


I=14mr2+112ml2I = \frac{1}{4}mr^2+\frac{1}{12}ml^2

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