# Angular equivalent of energy?

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1. Oct 22, 2014

### 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.

2. Oct 22, 2014

### Staff: Mentor

Welcome to PF!

Linear kinetic energy -> rotational kinetic energy

3. Oct 22, 2014

### Staff: Mentor

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

4. Oct 22, 2014

### neuralnova

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

5. Oct 22, 2014

### A.T.

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

6. Oct 22, 2014

### Pythagorean

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