Radius of Gyration Ratio for Disc – Rankers Physics

Radius of Gyration Ratio for Disc

The ratio of the radius of gyration of a thin uniform disc about an axis passing through it centre and normal to its plane to the radius of gyration of the disc about its diameter is: (2022)

$1:\sqrt{2}$
$2:1$
$\sqrt{2}:1$
$4:1$

Solution:

Radius of gyration about center normal axis is $k_1 = R/\sqrt{2}$ and about diameter is $k_2 = R/2$. The ratio $k_1/k_2$ simplifies to $\sqrt{2}:1$.

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