Define the moment of inertia. State its SI unit and dimensions.
Define the moment of inertia. State its SI unit and dimensions.
Aniket Singh , 9 Months ago
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11 grade physics others> Define the moment of inertia. State its S...
1 AnswersAskiitians Tutor Team
Last Activity: 9 Months ago
The moment of inertia, denoted by the symbol I, is a property of a rigid body that describes its resistance to rotational motion about a particular axis. It quantifies how mass is distributed around an axis of rotation.
The SI unit of moment of inertia is kilogram meter squared (kg·m²). The dimensions of moment of inertia can be derived by considering its definition and equation.
In terms of mass (m) and distance (r) from the axis of rotation, the moment of inertia can be expressed as:
I = m · r²
Breaking down the dimensions of the variables involved:
[m] = [M] (mass) - dimension: [kg]
[r] = [L] (length) - dimension: [m]
Substituting the dimensions into the equation for moment of inertia:
[I] = [m] · [r]² = [kg] · [m]² = [kg·m²]
Therefore, the dimensions of moment of inertia are [kg·m²].
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