Uniform Solid Cylinder Moment of Inertia Derivation

Опубликовано: 16 Май 2026
на канале: Flipping Physics
17,741
364

Deriving the integral equation for the moment of inertia or rotational inertia of a uniform solid cylinder. Want Lecture Notes? http://www.flippingphysics.com/rotati... This is an AP Physics C: Mechanics topic.

Next Video: Parallel Axis Theorem Derivation
https://www.flippingphysics.com/paral...

Previous Video: Using Integrals to Derive Rotational Inertia of a Long, Thin Rod with Demonstration
https://www.flippingphysics.com/thin-...

Thank you to all of my wonderful Patreon supporters. Please consider supporting me monthly at   / flippingphysics  

Thank you to Barak Yedidia, Julie Langenbruner, and Scott Carter being my Quality Control Team for this video. http://flippingphysics.com/quality-co...

Content Times:
0:00 Introduction
0:28 The Basics
1:55 Defining dm
4:41 Getting from dm to dr
8:13 Solving for Rotational Inertia
10:20 Removing Density from the Answer

#RotationalInertia #MomentOfInertia #Cylinder