Find dimensions of moment of inertia. Is moment of inertia a vector or
scalar?
Answers
Answered by
5
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
In this case, the moment of inertia of the mass in this system is a scalar known as the polar moment of inertia. ... In this case, the angular velocity and angular acceleration of the body are scalars and the fact that they are vectors along the rotation axis is ignored
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
In this case, the moment of inertia of the mass in this system is a scalar known as the polar moment of inertia. ... In this case, the angular velocity and angular acceleration of the body are scalars and the fact that they are vectors along the rotation axis is ignored
Answered by
0
Dimensions = [M¹ L² T°]
It's a scalar quantity.
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