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I rewrite N as kg m s^-2 and try to get Pmax, which is in Watts to kg m^2 s^-3 but when I do so I am left with an rad^2.

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    $\begingroup$ This may be relevant - math.stackexchange.com/q/803955. Basically radian is ratio of length of arc to radius so the units cancel out. $\endgroup$
    – Jarosław Komar
    Mar 21, 2020 at 16:02
  • $\begingroup$ Possible duplicates: physics.stackexchange.com/q/252288/2451 and links therein. $\endgroup$
    – Qmechanic ♦
    Mar 21, 2020 at 16:16
  • $\begingroup$ @JarosławKomar you mean 4pi becomes a unitless number? $\endgroup$
    – P.ython
    Mar 21, 2020 at 16:21
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    $\begingroup$ You have probably already encountered this in the formula for uniform circular motion, $v=\omega r$. $\endgroup$
    – G. Smith
    Mar 21, 2020 at 16:31
  • $\begingroup$ $4\pi$ is dimensionless $\endgroup$
    – mmesser314
    Mar 21, 2020 at 18:19

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