#Moment of inertia of a sphere how to#

How to derive the moment of inertia of a solid sphere, let’s see. There is one formula to calculate the moment of inertia of a solid sphere (also known as a spherical shell). Moment of Inertia of Solid Sphere Formula & Derivation The moment of inertia of a sphere is defined as the summation of the products from the whole mass of every attached element of the entity and then multiplying them by the square of the particles with reference to its distance from the center.Ĭheck out our ‘MechStudies – The Learning App’ in iOS & Android for 100% Free Solved Quiz. Moment of Inertia of Sphere Solid & Hollow Definition While finding the moment of inertia of a sphere, whether hollow or solid, and other objects, two theorems are essential, they include the parallel axis theorem and perpendicular axis theorem.

The moment of inertia is specified to a chosen axis of rotation and depends on the mass distribution around that axis of rotation.

The moment of inertia for any object, including spheres, is an important value calculated using the specific formulas for every object to determine the angular momentum of the entity.

The formula for calculating the moment of inertia of a solid sphere and hollow sphere is derived below in the blog.

Some basics related to solid and hollow sphere’s moment of inertia are stated below: The moment of inertia is also known as the second moment of the area, and it can be calculated for various objects having different shapes. Moment of Inertia Solid & Hollow Sphere Basics Let’s try to understand the moment of inertia of sphere basics. Let’s explore! What is Moment of Inertia of Sphere – Solid & Hollow? In this article, we will learn the moment of inertia of Solid or Hollow Sphere, along with examples, calculation, etc.

Moment of inertia of a sphere