Question

the body has moment of inertia 5 × 10 - 4 kg per metre square and mass 2 kg the radius of gyration of body about its axis of rotation is​

Answer 1

The radius of gyration is about 5m.

Given:

Moment of inertia 5 × 10 - 4 kg
Mass 2 kg

To find: Radius of gyration of body.
Solution:

We can define the radius of gyration as the fictitious distance from the centroid at which the district of drawing of individual parts of mechanism is imaginary expected met at a point in consideration of get the same importance of lifelessness. It is designated by k.
The radius of revolution is a blueprint for scattering obvious sectors of an article present about an object in material wisdom and physics.

The radius of gyration is the standing distance middle from two points the turning point around which something revolves and an unambiguous point of bulk when considered in agreements of the importance of inaction.

Lets take out the formula of moment inertia in terms of the radius of gyration :

$I = mk^2$

$K = \sqrt{I/M}$

k = 500/20
k= 25^1/2
k = 5 m

Hence the radius is 5 m.

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