Moment of inertia is a measure of an object's resistance to rotational motion. It is the rotational equivalent of mass in linear motion.
The moment of inertia of a semi-circular disk can be calculated using the formula I = 1/2 * mr², where m is the mass of the disk and r is the radius of the disk.
The shape of a semi-circular disk affects its moment of inertia as it determines the distribution of mass around the axis of rotation. A disk with a larger radius will have a larger moment of inertia compared to a disk with a smaller radius.
The mass of a semi-circular disk also affects its moment of inertia. A disk with a greater mass will have a larger moment of inertia compared to a disk with a smaller mass, assuming all other variables remain constant.
Understanding the moment of inertia of a semi-circular disk is important in various engineering and physics applications. For example, it is used in the design of rotating machinery and vehicles, as well as in analyzing the stability and motion of objects in rotational motion.