1Which is the dimensional formula of moment of inertia?
Moment of inertia works out to [M L²].
MechanicsClass 11, System of Particles and Rotational Motion
Dimensional formula of Moment of inertia
[M L2]
Mass times the square of its distance from the axis. It plays the part of mass in rotation.
How to get the dimensional formula of moment of inertia
- Start from the definition: moment of inertia = mass × length2.
- Put in the dimension of each part: [M] × [L]2.
- Add the powers of each base quantity: [M L2].
Three questions on moment of inertia
2What is the SI unit of moment of inertia?
The SI unit of moment of inertia is the kilogram metre squared (kg m²).
3Do moment of inertia and radius of gyration have the same dimensions?
Moment of inertia is [M L²] but radius of gyration is [L].
Moment of inertia: quick answers
What is the dimensional formula of moment of inertia?
The dimensional formula of moment of inertia is [M L²]. It comes from moment of inertia = mass × length².
What is the SI unit of moment of inertia?
The SI unit of moment of inertia is the kilogram metre squared (kg m²).
Is moment of inertia dimensionless?
No. Moment of inertia has the dimensions [M L²].