Mechanics
Rotational Kinetic Energy
Kinetic energy due to rotational motion.
Variables
KE_rotJ
Rotational KE
Energy of rotation
Ikg·m²
Moment of inertia
Rotational inertia
ωrad/s
Angular velocity
Rate of rotation
Derivation
Rotational analog of KE = ½mv².
Your notes
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Common questions
What is the Rotational Kinetic Energy formula?
Rotational Kinetic Energy is written KEᵣₒₜ = 1/2Iω². Kinetic energy due to rotational motion. It belongs to Mechanics, under Rotational Motion.
What are the units in KEᵣₒₜ = 1/2Iω²?
In SI units, KE_rot is rotational ke, measured in kg·m²/s²; I is moment of inertia, measured in kg·m²; ω is angular velocity, measured in rad/s.
How is the Rotational Kinetic Energy formula derived?
Rotational analog of KE = ½mv². The result is KEᵣₒₜ = 1/2Iω².