- #1
danielatha4
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Can someone please tell me the moment of inertia for a solid sphere rotating about an axis tangent to its surface?
The formula for moment of inertia for a solid sphere is I = (2/5) * M * R^2, where I is the moment of inertia, M is the mass of the sphere, and R is the radius of the sphere.
The moment of inertia for a hollow sphere is I = (2/3) * M * R^2, which is greater than the moment of inertia for a solid sphere. This is because the mass is distributed farther from the axis of rotation in a hollow sphere, resulting in a larger moment of inertia.
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. For a sphere, the moment of inertia determines how difficult it is to start or stop its rotation, as well as how fast it will rotate for a given torque.
The moment of inertia for a sphere is directly proportional to its mass and the square of its radius. This means that as the mass or size of the sphere increases, the moment of inertia also increases.
No, the moment of inertia for a sphere cannot be negative. It is always a positive value as it represents an object's resistance to changes in rotational motion.