Question

The unit of moment of inertia is :

• A. $Joule/sec$
• B. $Joule/second/radian$
• C. $Joulesecon{d}^2/radia{n}^2$
• D. $Joule/radian$

Answer 1

The correct option is C $Joulesecon{d}^2/radia{n}^2$

$K_{rot}=\frac{1}{2}I{\omega }^2$
Unit of $I$ is unit of energy divided by square of unit of $\omega$ which is $\frac{Joule}{\frac{ra{d}^2}{se{c}^2}}=\frac{Joulese{c}^2}{ra{d}^2}$