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University Physics Volume 1 · Fixed-Axis Rotation

Introduction

CC BY 4.0 · OpenStax · approximately 1 min read

Learning objectives

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

Original figure description: A photo of a wind farm with multiple wind turbines installed in a desert.

Brazos wind farm in west Texas. During 2019, wind farms in the United States had an average power output of 34 gigawatts, which is enough to power 28 million homes. (credit: modification of work by U.S. Department of Energy)

In previous chapters, we described motion (kinematics) and how to change motion (dynamics), and we defined important concepts such as energy for objects that can be considered as point masses. Point masses, by definition, have no shape and so can only undergo translational motion. However, we know from everyday life that rotational motion is also very important and that many objects that move have both translation and rotation. The wind turbines in our chapter opening image are a prime example of how rotational motion impacts our daily lives, as the market for clean energy sources continues to grow.

We begin to address rotational motion in this chapter, starting with fixed-axis rotation. Fixed-axis rotation describes the rotation around a fixed axis of a rigid body; that is, an object that does not deform as it moves. We will show how to apply all the ideas we’ve developed up to this point about translational motion to an object rotating around a fixed axis. In the next chapter, we extend these ideas to more complex rotational motion, including objects that both rotate and translate, and objects that do not have a fixed rotational axis.

← Rocket PropulsionRotational Variables →

Attribution. University Physics Volume 1, OpenStax, Rice University, and the contributing authors credited in the book. Licensed under Creative Commons Attribution 4.0 International. Source revision db44eb99e9 of openstax/osbooks-university-physics-bundle (2026-02-02). 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
  • Rotational Variables
  • Rotation with Constant Angular Acceleration
  • Relating Angular and Translational Quantities
  • Moment of Inertia and Rotational Kinetic Energy
  • Calculating Moments of Inertia
  • Torque
  • Newton’s Second Law for Rotation
  • Work and Power for Rotational Motion

Source

OpenStax source file ↗

Illustrated original ↗

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