What happens to radians in this calculation?

Asked Mar 21 '20 at 15:56

Active Mar 21 '20 at 16:14

Viewed 39 times

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.

edited Mar 21 '20 at 16:14

Qmechanic

asked Mar 21 '20 at 15:56

P.ython

1

This may be relevant - https://math.stackexchange.com/q/803955/. Basically radian is ratio of length of arc to radius so the units cancel out. – Jarosław Komar Mar 21 '20 at 16:02
Possible duplicates: https://physics.stackexchange.com/q/252288/2451 and links therein. – Qmechanic Mar 21 '20 at 16:16
@JarosławKomar you mean 4pi becomes a unitless number? – P.ython Mar 21 '20 at 16:21
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You have probably already encountered this in the formula for uniform circular motion, $v=\omega r$. – G. Smith Mar 21 '20 at 16:31
$4\pi$ is dimensionless – mmesser314 Mar 21 '20 at 18:19

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