Question

Calculate the moment of inertia of the thin spherical shell having a mass of 3.3 kg and diameter of .6 cm.

(a) .00125 kgm^2

(b) .00196 kgm^2

(c) .00145 kgm^2

(d) .00178 kgm^2

I got this question by my school principal while I was bunking the class.

I need to ask this question from Energy Relations During Starting in section Starting of Electric Drives

Answer 1

Correct choice is (b) .00196 kgm^2

To explain: 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=(3.3)×.66×(.03)^2=.00196 kgm^2. It depends upon the orientation of the rotational axis.