geekie weekie said:Where, r is distance from the axis of rotation. What this actually mean? I mean what is an r?
Moment of inertia is a measure of an object's resistance to rotational motion, similar to how mass is a measure of an object's resistance to linear motion. It is calculated by taking the sum of the mass of each individual particle in the object multiplied by the square of its distance to the axis of rotation.
Moment of inertia is different from mass in that it specifically measures an object's resistance to rotational motion, while mass measures an object's resistance to linear motion. This means that two objects with the same mass can have different moments of inertia, depending on their shape and distribution of mass.
The formula for calculating the moment of inertia of a point mass is I = mr², where I is the moment of inertia, m is the mass of the point mass, and r is the distance from the point mass to the axis of rotation.
The distribution of mass affects the moment of inertia because it determines the distance of each particle from the axis of rotation. The farther the particles are from the axis of rotation, the higher the moment of inertia will be. This means that objects with a more spread out distribution of mass will have a higher moment of inertia compared to objects with a concentrated distribution of mass.
Moment of inertia is directly related to rotational motion, as it is a measure of an object's resistance to rotational motion. Objects with a higher moment of inertia will require more torque to rotate at the same angular acceleration as objects with a lower moment of inertia. This is similar to how objects with a higher mass require more force to accelerate at the same rate as objects with a lower mass in linear motion.