Question

if the radius of gyration of a body of a mass 0.25kg is 100kg-m² what is moment of inertia of body ​

Answer 1

Answer:

the radius of gyration of a body of a mass 0.25kg is 100kg-m² what is moment of inertia

Answer 2

Given:

The radius of gyration of a body of a mass 0.25kg is 100m.

To find:

Moment Of Inertia of the object.

Calculation:

Radius of gyration can be defined as the radius of of a thin ring having the same moment of inertia of another object along its geometrical axis.

Let moment of inertia of the object be I ;

$\rm{ \therefore \: I = m {k}^{2} }$

$\rm{ = > \: I = 0.25 \times {(100)}^{2} }$

$\rm{ = > \: I = 0.25 \times {10}^{4} }$

$\rm{ = > \: I = 2500 \: kg {m}^{2} }$

So , final answer is:

$\boxed{ \bf{ \: I = 2500 \: kg {m}^{2} }}$