Find dimension of moment of inertia. Is moment of inertia a vector or scalar?
We know that the moment of inertia is given by:
I=∫dmR2
So, the dimension of the moment of inertia is:
I=[Mass][Length]2
[Mass]=[M] and [Length]=[L]
So, [I]=[M][L]2
Moment of inertia in rotatory motion is equivalent to mass in translatory motion.
As mass is scalar quantity, it is also a scalar quantity.