Rotational kinetic energy is the energy an object has due to its rotation. It is dependent on the object's mass, moment of inertia, and angular velocity.
Rotational kinetic energy is related to an object's rotational motion, while linear kinetic energy is related to an object's linear motion. Rotational kinetic energy is calculated using the moment of inertia, while linear kinetic energy is calculated using an object's mass and velocity.
Moment of inertia is a measure of an object's resistance to rotational motion. It is dependent on the object's mass, shape, and distribution of mass.
The distribution of mass affects moment of inertia because it determines how the mass is distributed around the axis of rotation. Objects with more mass concentrated towards the axis of rotation will have a smaller moment of inertia compared to objects with mass distributed farther from the axis.
Rotational kinetic energy is directly proportional to the moment of inertia. This means that objects with a larger moment of inertia will have a greater amount of rotational kinetic energy compared to objects with a smaller moment of inertia, given the same angular velocity.