Question

explain physical meaning of radius of gyration

Answer 1

Imagine you took a normal, real-world object and condensed all the particles into a hollow sphere. Now imagine this hollow sphere (with no wall thickness) has the same rotational inertia as the original object. The radius of the sphere is the radius of gyration of the original object. (At least that's what wikipedia said. If I remember from dynamics class, though, I'd say it'd be better to imagine a hollow cylinder with no end caps or an extremely thin torus/ring. You avoid the error from the mass at the poles this way.)

Sit in a chair and spin with your arms out. When you pull them in, rotational momentum is conserved, and you spin faster because your rotational inertia decreased. This decrease in rotational inertia with the same mass was caused by a decrease in the radius of gyration.

Answer 2

IF you knows the gyro stat. Its the best example of radius of gyration. Also in hip hop dance. Head down and legs folded twisting. Increasing the momentum without changing the mass.

Answer 3

wel can u define radius of gyration?

Answer 4

is it the perpendicular distance b/w torrque and axis?

Answer 5

For a planar distribution of mass rotating about some axis in the plane of the mass, the radius of gyration is the distance from the axis that all mass can be concentrated to obtain the same mass moment of inertia. Thus, the radius of gyration is the ``equivalent distance'' of the mass from the axis of rotation. In this context, gyration can be defined as rotation of a planar region about some axis lying in the plane.

Answer 6

wel do we take only one point?

Answer 7

i mean is that centre of mass's distance from axis?

Answer 8

Ya. The same

Answer 9

oh lemme try to define it
"radius of gyration is the perpendicular distance between the centre of mass and the axis of rotation"

Answer 10

is that right?

Answer 11

tell

Answer 12

is my definition right?

Answer 13

(btw we two only hav green colour here!!!)

Answer 14

moment of inertia=IK^2