Question

Calculate the moment of inertia for a solid sphere with a mass of 10 kg and a radius of 0.2m.

Answer 1

Given:

the mass of the solid sphere is

`m=10\text{ kg}`

radius of the sphere is

`r=0.2\text{ m}`

Required: calculate the moment of inertia

Step-by-step explanation:

to calculate the moment of inertia we will use the formula that is given by

`I=(2)/(5)mr^2`

Plugging all the values in the above formula, we get

`\begin{gathered} I=(2)/(5)*10\text{ kg}*0.2*0.2\text{ m}*\text{ m } \\ I=0.16\text{ kg m}^2 \end{gathered}`

Thus, the moment of inertia is 0.16 .