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I have been driving myself mad trying to prove it one way or the other, I understand how it is derived and how to use it etc. but it still seems to me to be saying that (m/s)=(rad/s)*(m) which I don't think is dimensionally homogenous, what happens to the radians. Couldn't find anything on the internet about the homogenuity of it. I am probably just being stupid but please if anyone could shed some light on this that would be amazing.

Qmechanic
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1 Answers1

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What you call angular rotation is angular velocity. The dimension of angular velocity is one over time, because the angle is dimensionless.

flaudemus
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