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Angular equivalent of energy?

  1. Oct 22, 2014 #1
    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. jcsd
  3. Oct 22, 2014 #2


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    Staff: Mentor

    Welcome to PF!

    Linear kinetic energy -> rotational kinetic energy
  4. Oct 22, 2014 #3


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    Staff: Mentor

    Or mathematically, ##\frac{1}{2}mv^2 \rightarrow \frac{1}{2} I \omega^2##.
  5. Oct 22, 2014 #4
    Sure -- I should have included those in my list, as I did already know about them. I'm looking for something more daring. ;)
  6. Oct 22, 2014 #5


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    Science Advisor

    mc^2 is not related to linear or angular motion, so I'm not sure in what sense there can be an "angular counterpart".
  7. Oct 22, 2014 #6


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    Gold Member

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