Question

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Answer 1

Answer:

Dimensional Formula of Moment of Inertia

The dimensional formula of moment of inertia is given by,

M1 L2 T0

Where,

M = Mass

L = Length

T = Time

Derivation

Moment of Inertia (MOI) = Mass × [Radius of Gyration]2 . . . . (1)

Since, the dimensional formula of mass = M1 L0 T0 . . . . . . (2)

And, the dimensions of the radius of gyration = M0 L1 T0 . . . . . (3)

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

Moment of Inertia = Mass × [Radius of Gyration]²

Or, MOI = [M L0 T0] × [M0 L1 T0]² = M L² .

Therefore, the moment of inertia is dimensionally represented as ML² .

Explanation:

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