![]() The total mass of the body can be considered as a sum of a large number of particles of masses m 1, m 2. Suppose a body PQR is rotating around the axis AB with angular acceleration α. Read More: Measurement of Physical Quantity and Unit: Notes Relation: Moment of Inertia Torque and Angular Acceleration: Unit of Moment of inertia = unit of mass × unit of (distance) 2ĭimension: = SI unit of Moment of Inertia We know, the moment of inertia is I = mr2, Obviously, the greater the inertia of an object relative to an axis, the more torque must be applied to rotate the object or to stop the rotation of the object about that axis. In short, the relation of inertia to the force and the relation of the moment of inertia to the torque are equivalent. Because (about to a certain axis) the amount of obstruction that an object has to change the speed of rotation of an object is its (about to that axis) inertia. ![]() ![]() That is, the inertia of an object in the case of rotational motion can be called its rotational inertia. In the case of rotational motion, an object is forced to change its position only when torque (which is a replica of the force in rotation) is applied to the object from the outside When torque is not applied, the object either stays stationary or the object continues to rotate at equal angular velocity. This is because the mass of an object is its cause, which prevents it from changing its linear motion. We know that in the case of linear motion, the mass of an object can be called its translational inertia. The reason for saying this is clearly from the discussion below. Physical Significance of Moment of Inertia:Īs mentioned earlier, the role of mass in linear motion is similar to that of inertia in rotational motion.
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