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

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\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 <klux>GIVEN</klux>:}}

  • 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}}.



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