Torque (T) = Moment of Inertia Angular Acceleration . . . . (1)

Since, Moment of Inertia (M.O.I) = Radius of Gyration ² Mass

The dimensional formula of Moment of Inertia = M ¹ L ² T ⁰ . . . (2)

And, Angular Acceleration = Angular velocity Time ^-1

The dimensional formula of Angular Acceleration = M ⁰ L ⁰ T ^-2 . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Torque = Moment of Inertia Angular

Acceleration

Or, I = [M ¹ L ² T ⁰ ] [M ⁰ L ⁰ T ^-2 ] = [M L ² T ^-2 ].

Therefore, the torque is dimensionally represented as [M L ² T ^-2 ].