Question

The radius of gyration of a solid sphere of radius r about its tangential axis is

Answer 1

The radius of gyration is $\sqrt{\dfrac{7}{5}}R$.

Explanation:

Given that,

Radius of sphere = r

We need to calculate the radius of gyration

Using formula of gyration

$K=\sqrt{\dfrac{I}{M}}$

Where, I = moment of inertia

M = mass

Put the value into the formula

$K=\sqrt{\dfrac{\dfrac{7}{5}MR^2}{M}}$

$K=\sqrt{\dfrac{7}{5}R^2}$

$K=\sqrt{\dfrac{7}{5}}R$

Hence, The radius of gyration is $\sqrt{\dfrac{7}{5}}R$.

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Topic : radius of gyration

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