Question

A solid sphere of diameter 0.3m has mass 20 kg . its moment of inertia about its axis is ​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A solid sphere of diameter 0.3m has mass 20 kg . its moment of inertia about its axis is

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Diameter of solid sphere (d) = 0.3m therefore, its radius (r) = 0.15m
• Mass (m) = 20Kg

$\large\underline{\underline{\sf To\:Find:}}$

• Moment of Interia of solid Sphere.

Moment of inertia of solid sphere is given by ➝

✪$\large{\boxed{\bf \blue{I = \dfrac{2}{5}MR^2}}}$

$\implies{\sf \dfrac{2}{5}×20×(0.15)^2 }$

$\implies{\sf \dfrac{0.9}{5} }$

$\implies{\bf \red{Inertia (I)=0.18Kg-m^2} }$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Moment of inertia about its axis is ${\bf \red{0.18Kg-m^2}}$.