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Physical Pendulum Period

Experiment Module

Physical Pendulum Period

Theory & Logic

Theoretical Background

Physics describes the fundamental mechanism of the universe. The Physical Pendulum Period is an essential tool for understanding Physical Pendulum Period in quantitative terms. Calculate T = 2π√(I/mgd).

Mathematical Formulation

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

Result = 2 × π × √(i ÷ (m × 9.8 × d))
Eq 1.1: Governing Formula

Variable Legend

Symbol Parameter Unit
i Moment Inertia kg·m²
m Mass kg
d Distance to CM m

Practical Calculation Example

Problem

Calculating the result when:

  • Moment Inertia = 5 kg·m²
  • Mass = 55 kg
  • Distance to CM = 5 m

Solution

Substituting into Eq 1.1:

Result = 2 × π × √(5 ÷ (55 × 9.8 × 5))