EngiRef / Mechanical Engineering Formula

Rotational Kinetic Energy

Rotational Kinetic Energy: Kinetic energy of rotating body. A Dynamics formula in mechanical engineering. Variables KE, I and ω, each with SI and imperial…

Dynamics

Specification

Name
Rotational Kinetic Energy
Discipline
mechanical
Category
Dynamics
LaTeX
KE = \frac{1}{2}I\omega^2
Description
Kinetic energy of rotating body
Can solve for
KE, I, ω
Tags
kinetic, energy, rotation, angular

Variables

Variables for Rotational Kinetic Energy
SymbolNameUnitSi UnitImperial Unit
KEKinetic EnergyJJft·lbf
IMoment of Inertiakg·m²kg·m²slug·ft²
ωAngular Velocityrad/srad/s -

Common questions

What is the Rotational Kinetic Energy formula?
Kinetic energy of rotating body. It sits under Dynamics, Mechanical engineering in the EngiRef reference.
What do the symbols in the Rotational Kinetic Energy formula mean?
In Rotational Kinetic Energy, KE is kinetic energy in J; I is moment of inertia in kg·m²; ω is angular velocity in rad/s.