The physical quantity for rotations corresponding to inertia is the moment of inertia, or rotational inertia. It is represented by the integral of r^2dm.
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The physical quantity corresponding to inertia in rotational motion is moment of inertia. Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It depends on both the mass and distribution of mass in an object.
The product of an object's rotational inertia and its rotational velocity is called angular momentum. It is a conserved quantity in a closed system, meaning it remains constant unless acted upon by an external torque.
Moment of inertia and rotational inertia are essentially the same concept, referring to an object's resistance to changes in its rotational motion. Moment of inertia is the term commonly used in physics, while rotational inertia is a more general term that can also be used. In the context of rotational motion, both terms describe how the mass distribution of an object affects its ability to rotate. The moment of inertia or rotational inertia of an object depends on its mass and how that mass is distributed around its axis of rotation. In summary, moment of inertia and rotational inertia are interchangeable terms that describe the same physical property of an object in rotational motion.
Inertia is not a physical quantity but rather a property of matter. It is the tendency of an object to resist changes in its motion. Its SI unit is the kilogram (kg).
Yes, rotational inertia is the same as moment of inertia. Both terms refer to the resistance of an object to changes in its rotational motion.
The physical quantity related to inertia is mass. Mass is a measure of an object's resistance to changes in its motion, and it is directly proportional to the object's inertia. Objects with greater mass have greater inertia.