Question

The radius of gyration of a disc of radius 25 cm about a centroidal axis perpendicular

Answer 1

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Answer 2

The radius of gyration is 17.67cm.

Step-by-step explanation:

Given,

Radius of disc=25cm

Since

Moment of inertia $(I)=mu^{2}$

where, u is the radius of gyration.

And $u=\sqrt{\frac{{R^{2}}}{2}}$

Now,

$\frac{mR^{2}}{2}=mu^2\\\\u=\frac{25}{\sqrt{2}}=17.67cm$

Hence, the radius of gyration of the disc about their neutral axis is 25cm.

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