Compound Pendulum : Moment of Inertia of the Pendulum Calculator

Posted by Dinesh on 20-06-2019T18:35

Calculate moment of inertia of the pendulum by using simple compound pendulum calculator online.

A compound pendulum is a body formed from an assembly of particles of continuous shape that rotates rigidly around a pivot. Its moment of inertia is the sum of the moments of inertia of each of the particles that it is composed of.

The Moment of Inertia of the body can be calculated by the period of oscillation, the mass and the distance from the pivot point to the centre of mass of the object.

Any swinging rigid body free to rotate about a fixed horizontal axis is called a compound pendulum or physical pendulum. The appropriate equivalent length L for calculating the period of any such pendulum is the distance from the pivot to the center of oscillation.

Formula:

$I_{p} = \frac{m \cdot g \cdot r \cdot t^{2}}{4 \cdot π^{2}}$

where,
m = Mass of the object
g = Local acceleration of gravity 9.80665 m/s²
r = Distance from the pivot point to the centre of mass of the object
t = Time duration of oscillation
π = pi (3.141592653589793)
I_p = Moment of inertia of the pendulum

Compound Pendulum : Moment of Inertia of the Pendulum Calculator

Formula:

Reference:

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