If the moment of inertia is large, then the angular acceleration produced by a given torque would be smaller. Physically, the moment of inertia gives the ability of a body to resist angular acceleration (analogous to how mass resists linear acceleration) when subject to a torque. Where is the distance of the mass element from the axis of rotation.
Moment of inertia for a body is defined with the following integral: The main difference between moment of inertia and polar moment of inertia is that the moment of inertia measures how an object resists angular acceleration, whereas the polar moment of inertia measures how an object resists torsion.
Moment of inertia (which refers to the mass second moment of inertia) and polar (second) moment of inertia are both quantities which describe an object’s ability to resist changes due to torques applied to it.
Main Difference – Moment of Inertia vs. Polar Moment of Inertia
