Question

Exam 3 (cont.) 2 of 12 1. What are the corre What are the correct units of rotational kinetic energy KEYo w "? A kg rad B. J C.kgm/ DN/? E kg/

Answer 1

Energy has same units, whether it is rotational, translational, or potential.

Therefore unit of energy is kg-m^​​​2/s^{​​​​​​2}​​​.

But still if you want to find though the given equation

Then,

Unit of I (moment of inertia) is kg-m^​2 & unit of $\omega$ is rad/sec

Hence using the formula we get, kg-m^​​​2 * (rad/sec)² = kg-m^​​​2 / sec^{​​​​2} .

And it's unit is also called as Joules, hence answer is b) option J.