Question

find the radius of gyration of a uniform solid sphere about its diameter

Answer 1

radius of gyration of a uniform solid sphere about its diameter is √(2/5)r.

moment of inertia of solid sphere about an axis passing through its diameter is given as,

I = 2/5 Mr²

radius of gyration is the distance from the axis of rotation to the point where we suppose the whole mass is concentrated.

so, mk² = I = 2/5 mr²

⇒k = √(2/5) r

hence, radius of gyration of a uniform solid sphere about its diameter is √(2/5)r.

also read similar questions: The radius of gyration of a uniform disc about a line perpendicular to the disc equals its radius. Find the distance of ...

https://brainly.in/question/4585382

The radius of gyration of a body about an axis at a distance 6 cm from its centre of mass is 10 cm. Then its radius of g...

https://brainly.in/question/1148654

Answer 2

$\huge\bold\purple{Answer:-}$

radius of gyration of a uniform solid sphere about its diameter is √(2/5)r. radius of gyration is the distance from the axis of rotation to the point where we suppose the whole mass is concentrated. hence, radius of gyration of a uniform solid sphere about its diameter is √(2/5)r.