Moment of inertia is a measure of an object's resistance to change in its rotational motion. It is the product of the mass of an object and the square of its distance from the axis of rotation.
The moment of inertia for a disk can be calculated using the formula I = ½mr², where I is the moment of inertia, m is the mass of the disk, and r is the radius of the disk.
The moment of inertia for a disk depends on its mass and how its mass is distributed around the axis of rotation. For different shapes of disks, the mass distribution will vary, resulting in different values for moment of inertia.
Yes, the moment of inertia of a disk will change with its orientation. This is because the distance from the axis of rotation changes when the disk is rotated, and the moment of inertia is directly proportional to the square of this distance.
Moment of inertia is important in rotational motion because it affects an object's acceleration and energy in rotational motion. It also plays a role in the stability and balance of an object during rotation.