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Calculate the moment of inertia of the thin spherical shell having a mass of 73 kg and diameter of 36 cm.(a) 1.56 kgm^2(b) 1.47 kgm^2(c) 1.38 kgm^2(d) 1.48 kgm^2This question was addressed to me in a national level competition.The query is from DC Motors topic in section Characteristics of DC & AC Motors of Electric Drives

Answer»

The correct CHOICE is (a) 1.56 kgm^2

Easy explanation: The moment of inertia of the thin spherical shell can be calculated using the FORMULA I=mr^2×.66. The mass of the thin spherical shell and diameter is given. I=(73)×.66×(.18)^2=1.56 kgm^2. It DEPENDS UPON the orientation of the rotational axis.



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