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单词 radius of gyration
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radius of gyration
radius of gyration n. Mathematics and Engineering a distance such that if all the mass of a rotating body were at this distance from the axis of rotation, the moment of inertia of the body would be the same; (equivalently) the square root of the ratio of the moment of inertia of a body to its mass.
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1819 Philos. Trans. (Royal Soc.) 109 94 If we put k for the radius of gyration with respect to the centre of gravity.
1882 G. M. Minchin Uniplanar Kinematics 110 M = mass of the whole body and k its radius of gyration about GH.
1987 E. H. J. Pallett Aircraft Electr. Syst. (ed. 3) ix. 142/1 The motor armature together with a concentrically mounted outer rim forms the gyroscope rotor, the purpose of the rim being to increase the rotor mass and radius of gyration.
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