Question

Calculate the moment of inertia of the thin spherical shell having a mass of 3 kg and diameter of 66 cm.

(a) .2156 kgm^2

(b) .2147 kgm^2

(c) .2138 kgm^2

(d) .2148 kgm^2

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Answer 1

The correct answer is (a) .2156 kgm^2

For 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=(3)×.66×(.33)^2=.2156 kgm^2. It depends upon the orientation of the rotational axis.