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Scalar and Vector

what is radiu...

Question

what is radius of gyration and how to find it?

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Solution

Radius of gyration of a body about a given axis is equal to root mean square distance of the constituent particles of the body from the given axis

It can be find using the following formula :
$K = \frac{{\sqrt{{r_{1}}^{2} + {r_{2}}^{2} . . . . . + {r_{n}}^{2}}}^{}}{n} w h e r e, n i s t h e n o . o f p a r t i c l e s o f r i g i d b o d y e a c h o f m a s s m r_{1}, r_{2}, r_{3} . . . . . r_{n} b e t h e p e r p e n d i c u l a r d i s \tan c e s o f t h e s e p a r t i c l e s f r o m t h e a x i s o f r o t a t i o n .$

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