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Library›Open textbooks›College Physics 2e›Introduction to Rotational Motion and Angular Momentum

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College Physics 2e · Rotational Motion and Angular Momentum

Introduction to Rotational Motion and Angular Momentum

CC BY 4.0 · OpenStax · approximately 2 min read

Learning objectives

View original figure (external; image not reproduced in this text edition)

Original figure description: A large, dark tornado funnel extends from ominous storm clouds down to the ground, with a single tree silhouetted on the left against the dark horizon.

The mention of a tornado conjures up images of raw destructive power. Tornadoes blow houses away as if they were made of paper and have been known to pierce tree trunks with pieces of straw. They descend from clouds in funnel-like shapes that spin violently, particularly at the bottom where they are most narrow, producing winds as high as 500 km/h. (credit: Daphne Zaras, U.S. National Oceanic and Atmospheric Administration)

Why do tornadoes spin at all? And why do tornadoes spin so rapidly? The answer is that air masses that produce tornadoes are themselves rotating, and when the radii of the air masses decrease, their rate of rotation increases. An ice skater increases her spin in an exactly analogous manner as seen in import-auto-id3153998. The skater starts her rotation with outstretched limbs and increases her spin by pulling them in toward her body. The same physics describes the exhilarating spin of a skater and the wrenching force of a tornado.

Clearly, force, energy, and power are associated with rotational motion. These and other aspects of rotational motion are covered in this chapter. We shall see that all important aspects of rotational motion either have already been defined for linear motion or have exact analogs in linear motion. First, we look at angular acceleration—the rotational analog of linear acceleration.

View original figure (external; image not reproduced in this text edition)

Original figure description: The figure shows a figure skater with her right leg lifted up in the air reaching over her head. She has her both arms stretched over her head to hold the skates of the lifted leg. The skater is spinning about a vertical axis.

This figure skater increases her rate of spin by pulling her arms and her extended leg closer to her axis of rotation. (credit: Luu, Wikimedia Commons)

Original figure description: OpenStax Concept Trailer for Angular Momentum

← Forces and Torques in Muscles and JointsAngular Acceleration →

Attribution. College Physics 2e, OpenStax, Rice University, and the contributing authors credited in the book. Licensed under Creative Commons Attribution 4.0 International. Source revision f98d7a7921 of openstax/osbooks-college-physics-bundle (2026-02-04). CC BY 4.0. Original source ↗. Text edition of a pinned CC BY 4.0 source revision of the OpenStax book, converted from CNXML by the EvidenceHelix importer. Original prose, learning objectives, tables, exercises, glossary and captions are preserved; images are not copied (figures link to the original source and keep their credits). No new content was added. Later revisions of this book can carry different licence terms and are not used.

In this chapter Contents

  • Introduction to Rotational Motion and Angular Momentum
  • Angular Acceleration
  • Kinematics of Rotational Motion
  • Dynamics of Rotational Motion: Rotational Inertia
  • Rotational Kinetic Energy: Work and Energy Revisited
  • Angular Momentum and Its Conservation
  • Collisions of Extended Bodies in Two Dimensions
  • Gyroscopic Effects: Vector Aspects of Angular Momentum

Source

OpenStax source file ↗

Illustrated original ↗

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