Common
Rotational energy
Kinetic energy of rotating body with moment of inertia and angular velocity
Rotational energy
Rotational energy or angular kinetic energy is kinetic energy due to the rotation of an object and is part of its total kinetic energy. Looking at rotational energy separately around an object's axis of rotation, the following dependence on the object's moment of inertia is observed: E rotational = 1 2 I ω 2 {\displaystyle E_{\text{rotational}}={\tfrac {1}{2}}I\omega ^{2}} where The mechanical work required for or applied during rotation is the torque times the rotation angle. The instantaneous power of an angularly accelerating body is the torque times the angular velocity. For free-floating (unattached) objects, the axis of rotation is commonly around its center of mass. Note the close relationship between the result for...
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