What is the Angular Equivalent of E=mc^2?

[neuralnova]

Many linear quantities have angular counterparts.

Mass --> Moment of inertia
velocity --> angular velocity
acceleration --> angular acceleration
force --> torque
momentum --> angular momentum

E = mc^2 --> ? = I ?^2

Even a loose analogy would do.

 

[russ_watters]

Welcome to PF!

Linear kinetic energy -> rotational kinetic energy

 

[jtbell]

Or mathematically, $\frac{1}{2}mv^2 \rightarrow \frac{1}{2} I \omega^2$.

 

[neuralnova]

Sure -- I should have included those in my list, as I did already know about them. I'm looking for something more daring. ;)

 

[A.T.]

I'm looking for something more daring.

mc^2 is not related to linear or angular motion, so I'm not sure in what sense there can be an "angular counterpart".

 

[Pythagorean]

Energy isn't linear by default, it's a more general concept that can be applied to both linear and angular motion.