Question

Relation between radius of gyration and moment of inertia

Answer 1

Answer:

I = mk^2

Here,

I is the moment of inertia of the given body.

m is the mass of the given body.

k is the radius of gyration of the body.

Explanation:

MOMENT OF INERTIA

• It is the property of body due to which it opposes change in the state of rotational motion .
• It is a tensor quantity.
• Si unit of moment of inertia is kgm^2.

Moment of inertia of a point mass revolving in circular motion.

I = mr^2

Here,

I is the moment of inertia of the body.

m is the mass of the given body.

r is the distance.

Answer 2

Rotational inertia is important in almost all physics problems that involve mass in rotational motion. It is used to calculate angular momentum and allows us to explain (via conservation of angular momentum) how rotational motion changes when the distribution of mass changes.