Moment of Inertia Calculator

Moment of Inertia Calculator 

Moment of inertia calculator is used to calculate the moment of inertia of an object where the mass and the distance between the axis and rotation are known. 

What is the moment of inertia?

The moment of inertia of an object is a physical quantity that measures its resistance to rotational motion. It is frequently indicated by the symbol "I" and has SI units of kilogram meter squared (kgm²). The moment of inertia of an item is determined by its mass distribution relative to its axis of rotation.

Formula:

The formula for the moment of inertia of a body is

I = mr²

Where

• m is the mass of the object.
• r is the perpendicular distance between the axis and rotation.
• I is the moment of inertia.

How to find the moment of inertia?

Example 1:

We have a circular ball of mass 5 kg and with radius is 10 cm. Find the moment of inertia of the disc.

Solution:

Step 1: The data value from the statement

m= 5 kg

r= 10 cm

I=?

Step 2: The formula of the moment of inertia of the disc is

I= mr²

Step 3: By Putting the value and evaluating the numerical values

I= (5) (10²)

I= 500 kg.m²

Example 2:

What is the moment of inertia when the mass of the object is 60 kg and the distance between the axis and rotation is 25 meters?

Solution:

Step 1: The data value from the statement

m= 60 kg

r= 25 cm

I=?

Step 2: The formula of the moment of inertia of the disc is

I= mr²

Step 3: By Putting the value and evaluating the numerical values

I= (60) (25²)

I= 37500 kg.m²