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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: where is the angular velocity is the moment of inertia around the axis of rotation is the kinetic energy
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In some situations, rotational kinetic energy matters. When it does, it is one of the forms of energy that must be accounted for. Energy is always conserved.
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The rotational kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation. Mathematically …
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Rotational energy or angular kinetic energy is kinetic energy due to the rotation of an object and is part of its total kinetic energy.
From Wikipedia, the free encyclopedia 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:
The above equation is the work-energy theorem for rotational motion. We can define to be rotational kinetic energy for an object with moment of inertia I and angular velocity ω from the analogy with translational motion. Therefore, rotational kinetic energy is KR = I ω2 Rotational Kinetic Energy Example Problems
A rolling object has both translational and rotational kinetic energy. The rotational kinetic energy of a rotating object can be expressed as half of the product of the angular velocity of the object and moment of inertia around the axis of rotation.