Why is it useful to define radius of gyration (K)?

What is radius of gyration ?

Show that the ratio of radius of gyration of a thin ring about a tangential axis in its plane to its radius of gyration about an axis passing through its Centre and perpendicular to its plane is 1.225

The dimensions of the radius of gyration are

The angular velocity of the body changes from omega_1 to omega_2 without applying torque but by changing its M.I. The ratio of initial radius of gyration to final radius of gyration is

What do you mean by radius of gyration of a body ? Write dimensions of radious of gyration .

Define Ionic radius

Angular acceleration of a body of mass 50 kg under the action of a torque of magnitude 500 Nm is 25 rad s^2 . Find the radius of gyration of the body about its axis of rotation.

On what factor radius of gyration depends.

What do you mean by radius of gyration of a body? State its unit. Also discuss the factors on which radius of gyration depends.

A solid sphere has a radius R . If the radius of gyration of this sphere about its diameter is sqrt(2//5) R , show that the radius of gyration about the tangential axis of rotation is sqrt(7//5) R