Question

Formula for dimension of moment of inertial

Answer 1

Moment of Inertia is defined as the product of mass and the square of the perpendicular distance to the specified axis of rotation.

Moment of Inertia is defined as the product of mass and the square of radius of gyration

Moment of Inertia = Mass X (Radius of Gyration)2

Dimensional Formula of Mass= (M1L0T0)

Dimensional Formula of Radius of Gyration= (M0L1T0)

(Radius of Gyration)2=M0 L2 T0

Putting these values in above equation we get

Dimensional Formula of Moment of Inertia= M1L2T0

SI unit of Moment of Inertia is kg m2