| [Visitor (113.218.*.*)]answers [Chinese ] | Time :2024-04-01 |  1. The radius of rotation is a physical quantity, although it has a similar mathematical expression form with the radius of rotation in dynamics, but the meaning is different.
2. The radius of rotation refers to the distance between the hypothetical concentration point of the differential mass of the object and the axis of rotation, and its magnitude is equal to the moment of inertia divided by the total mass and then squared.
3. When a moment acts on an object, the object will exhibit its due rotational motion. The radius of rotation of an object for a straight axis is the rms square distance of all particles of the object for this straight axis.
4. The radius of rotation of an object for a straight axis is related to the moment of inertia of the straight axis and the mass of the object.
5. Physically, it is believed that the mass of the rigid body distributed according to a certain law is equivalent to the mass of a particle point concentrated on a certain point in rotation, assuming that the perpendicular distance between this point and a certain axis is k, and the moment of inertia of the rigid body on the axis is equal to the moment of inertia of the equivalent particle point on the same axis, that is, I=mk^2, then k is called the radius of rotation of the rigid body to the axis.
6. The size of the radius of rotation is related to the mandrel of the cross-section. The minimum radius of rotation generally refers to the smaller of the radius of rotation of the two mandrels. This is done when calculating the slenderness ratio of a member, if the in-plane and out-of-plane lengths of the component are equal, the slenderness ratio is calculated using the minimum radius of turn |
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