## Mertsj 4 years ago @satellite Why is radian considered a unitless measurement?

1. anonymous

??

2. anonymous

i am not sure i understand the question. if you say "3 radians" then i guess your units are radians

3. TuringTest

it's unit-less because it is defined in terms of the ratio of a circumference to its diameter, which is distance over distance, so the units cancel.

4. anonymous

$v= \omega r$ $m/s= \frac{\omega}{sec} m$

5. anonymous

$m/s= \frac{\theta}{sec} m$

6. Mertsj

thanks, turing