How is that the radius of gyration calculated for a solid sphere?
The moment of inertia or MOI for any solid sphere with a mass M and radius R is given by:
I = 2/5 MR2 ………….. (1)
If K implies the radius of a solid sphere, then
I = MK2…………………. (2)
On combining both the equations 1 and a couple of, the equation also can be written as
MK2 = 2/5 MR2
Canceling M and taking root on both the edges, our equation now becomes:
K = root of 2/5 R