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Moment of Inertia (Solid Sphere)

Experiment Module

Inertia Sphere

Theory & Logic

Theoretical Background

Physics describes the fundamental mechanism of the universe. The Moment of Inertia (Solid Sphere) is an essential tool for understanding Moment of Inertia (Solid Sphere) in quantitative terms. Calculate I = 0.4 * M * R².

Mathematical Formulation

The relationship between the variables is governed by the following equation:

Result = 0.4 × m × r × r
Eq 1.1: Governing Formula

Variable Legend

Symbol Parameter Unit
m Mass kg
r Radius m

Practical Calculation Example

Problem

Calculating the result when:

  • Mass = 25 kg
  • Radius = 85 m

Solution

Substituting into Eq 1.1:

Result = 0.4 × 25 × 85 × 85