Question

a solid sphere of mass 6 kg and radius is 5 m find the gyration of the sphere​

Answer 1

Answer:

The radius of gyration of the sphere is 1.26.

Explanation:

Given that,

Mass of the solid sphere, m = 6 kg

radius of the solid sphere, R = 2 m

We need to find the radius of gyration of the sphere. For a solid sphere that is rotating about diameter of the sphere, the radius of gyration is given by :

K=\sqrt{\dfrac{2}{5}}RK=

5

2

R

K=\sqrt{\dfrac{2}{5}}\times 2K=

5

2

×2

K = 1.26

So, the radius of gyration of the sphere is 1.26. Hence, this is the required solution.

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Radius of gyration

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Answer 2

Correct Question

A solid sphere of mass 6 kg and radius is 5 m find the  radius of gyration of the sphere.

Answer:

The  radius of gyration of the sphere is 3.16.

Step-by-step explanation:

Given:

A solid sphere of mass 6 kg.

A solid sphere of radius is 5 m.

To Find:

The  radius of gyration of the sphere.

Concept Used:

Radius of Gyration is an imaginary distance from the axis of rotation to a point where the total mass of the body is concentrated so that the moment of inertia about the axis remains the same.

Radius of Gyration basically relates the moment of inertia about the particular axis to the area of rotation.

Step-by-step explanation:

As given,a solid sphere of mass 6 kg.

A solid sphere of mass, M  = 6 kg.

As given, a solid sphere of radius is 5 m.

A solid sphere of radius,R =5 m.

The  radius of gyration of the sphere,$K=\sqrt{\frac{2}{5} } \ R$

                                                                   $=\sqrt{\frac{2}{5} } \ \times 5$

                                                                   $=3.16$

Thus,the  radius of gyration of the sphere is 3.16.

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