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Rotational (Angular) Kinetic Energy Equation

Reference from the original Physics I textbook.

Rotational (Angular) Kinetic Energy Equation

Rotational kinetic energy about a fixed axis: K_rot = ½Iω², where ω is the scalar angular speed.

KErotational=Rotational Kinetic Energy(J)​
I=Moment of Inertia(kg⋅m2)​
ω→=Angular Velocity(rad/s)

[1Joule=kg⋅m2s2]

Related Glossary Terms

Energy Balance Equation, Rotational Energyⓘ

Index

Chapter 6 - FFR - Rotational Energy

Chapter 6 - FFR - Rotational Energy

Reviewed physics notes (1)

These corrections keep the original lesson’s purpose while fixing errors in the source edition.

  • Energy is scalar, not a vector squared. — Reference 1

About this edition and its source ↗

Glossary and deeper reading · 2 refreshers

These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.

  • Kinetic energy

    Kinetic energy is energy associated with motion relative to a chosen reference frame. For a nonrelativistic translating object it is one half of its mass times speed squared. For example, doubling a cart’s speed quadruples its translational kinetic energy when its mass stays fixed.

    Read more: Kinetic energy →

  • Rotational kinetic energy

    Rotational kinetic energy is the kinetic energy associated with rotation about an axis. For a rigid body about a fixed axis it is one half of rotational inertia times angular speed squared. For example, a rolling wheel can possess both translational kinetic energy of its center of mass and rotational kinetic energy about that center.

    Read more: Rotational kinetic energy →

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