Rotational energy is the energy possessed by a rotating object. For a sphere, rotational energy can be calculated using the formula: E = (1/2)Iω^2, where E is the rotational energy, I is the moment of inertia, and ω is the angular velocity.
The moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is affected by both the mass and distribution of mass of an object. Objects with a larger moment of inertia will require more energy to rotate at a given speed, resulting in a higher rotational energy.
The moment of inertia for a solid sphere is given by the formula: I = (2/5)mr^2, where m is the mass of the sphere and r is the radius. For a hollow sphere, the moment of inertia is given by: I = (2/3)mr^2.
Rotational kinetic energy is the energy associated with an object's rotation, while linear kinetic energy is the energy associated with an object's linear motion. Rotational energy depends on the object's moment of inertia and angular velocity, while linear energy depends on the object's mass and linear velocity.
Yes, the rotational energy of a sphere can be changed by altering its moment of inertia or angular velocity. For example, increasing the rotational speed of a sphere will result in an increase in its rotational energy, while increasing its mass will decrease its rotational energy.