On which of the following does the moment of inertia depend?
(a) Angular velocity
(b) Angular momentum
(c) Shape of the object
(d) Location of axis of rotation
(e) Mass
(f) Linear velocity
Answer: The correct options are (c), d and e.
The moment of inertia refers to an object’s capacity to resist rotational acceleration – hence closely related to mass in cases of linear velocities. This is because its success depends on three factors that are considered to be critical success factors. First, the object’s shape plays a part—when swinging the rod (for example), its moment of inertia is larger when rotated along a direction perpendicular to the rod’s axis, than if it were besides the rod’s axis. Second, the position of fulfilling the axis of rotation is decisive; the moment of inertia is lower at an object in relation to an axis of rotation placed inside than when it concerns an end. Lastly, mass is greatly involved – anything which is larger has a greater moment of inertia and therefore, more torque is required to have similar angular acceleration.
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