The quantity "moment of inertia" (in terms of the fundamental quantities of mass,length,and time)is equivalent to: A)ML²T^-2. B)ML. C)ML². D)ML^-1T^-2.

Question

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The moment of inertia (I) is given by I = m*r^2, where m is mass and r is the distance from the axis of rotation. Therefore, the moment of inertia is a quantity composed of mass and length squared (L^2). The moment of inertia is not dependent on time or any other quantities, so we have: moment of inertia = M L^2 where M represents an unknown constant that scales the moment of inertia. Therefore, the moment of inertia can be expressed in terms of the fundamental quantities of mass, length, and time as: I = M L^2 = M L L = M L S^2 Therefore, the answer is C) ML².

The Quantity "Moment of Inertia" (In Terms of the Fundamental