Rotational Motion - Theory & Concepts - Rotational Inertia

A comprehensive overview of Rotational Motion explaining angular kinematics, dynamics, energy, and momentum.

Interactive engineering simulation

Moment Of Rotational Inertia Simulator

Explore how mass and shape distribution affect resistance to rotation. Apply a tangential force to generate torque and angular acceleration.

Rotational Shape Profile

Mass (M)5 kg

1–20

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Radius (R)1.2 m

0.4–2.0

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Applied Tangent Force (F)15 N

0–50

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Inertia Equation for Profile

I = \frac{1}{2} M R^2

A solid cylinder / disk has its mass evenly distributed from the center axle out to the radius R. More mass distributed far from the center yields a larger moment of inertia ($I$).

Moment of Inertia (I)

3.60 kg·m²

Applied Torque (τ = F·R)

18.00 N·m

Angular Accel. (α = τ/I)

5.00 rad/s²

Angular Velocity (ω)

0.00 rad/s

Model scope and verification

Use the displayed units and idealizations, then verify the governing balance or compatibility equation before interpreting the result.

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