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What is the Dimensional Formula of Moment of Inertia?

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

Mathematically,

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

Now we know
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

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Comments
  • Ayush srivastava August 25, 2017 at 7:09 pm

    Use of dimension

  • Akshay September 11, 2017 at 11:24 am

    Thanks for your help