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The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane (a) Increases f its temperature is increased (b) Changes if its axis of rotation is changed (c) Increases if its angular velocity is increased (d) Both (a) and (b) are correct

The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane
(a) Increases f its temperature is increased
(b) Changes if its axis of rotation is changed
(c) Increases if its angular velocity is increased
(d) Both (a) and (b) are correct

Grade:12

1 Answers

Vikas TU
14149 Points
3 years ago

Moment of inertia can be understood as the spread of mass over a rigid body. It is simply the mass distribution along a chosen axis of rotation. It depends only on mass of the particle and its distance from the axis of rotation. It doesn't depend on angular velocity.

However for conservation of angular momentum L, the relation between moment of inertia I, and angular velocity w, is

L = I w

Therefore, if I increases, w decreases so that the total angular momentum L is a constant. The vice versa is also true. If I decreses, w increases.

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