What happens in your formula if ##R_{in}## is close to ##R_{out}##?GayYoda said:I=M/2[(R_out)^2-(R_in)^2]?
Inertia is defined as the tendency of an object to resist changes in its state of motion. This means that an object at rest will remain at rest and an object in motion will continue to move in a straight line at a constant speed unless acted upon by an external force.
The inertia of a hollow cylinder is lower than that of a solid cylinder with the same mass and dimensions. This is because the mass of a hollow cylinder is distributed further from the central axis, reducing its resistance to rotational motion.
The shape of an object can greatly affect its inertia. Objects with larger mass and/or distributed mass further from the central axis will have a higher inertia, while objects with smaller mass and/or distributed mass closer to the central axis will have a lower inertia.
The size of a hollow cylinder or hollow sphere does not affect its inertia as long as the mass and distribution of mass remain constant. This means that a small hollow cylinder and a large hollow cylinder with the same mass and dimensions will have the same inertia.
The inertia of a hollow sphere is greater than that of a hollow cylinder with the same mass and dimensions. This is because the mass of a hollow sphere is distributed further from the central axis, resulting in a higher resistance to rotational motion.