Arc Length Units: Explained & Solved Problem

[alingy2]

Hello,

I solved the arc length for a particular problem. However, what is the unit of arc length if the units of the velocity vs time graph are m/s vs s?

I am really confused.

 

[Mugged]

Well, suppose you wanted to know the arc length of a portion of a circle; the typical formula is arc length = radius*angle. So the units would be meters*radians in standard SI. Although radians is a dimensionless unit, so you could also say units are just meters.