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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

Abhishek , 11 Years ago
Grade 12
anser 1 Answers
Vikas TU

Last Activity: 4 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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