Angular Displacement: 2π Radians

[tony873004]

I walk around a circular track. My displacement is 0 because I'm back at my starting point.
How about my angular displacement? Is it 2 pi radians, or is it also 0? The definitions I've been reading online seem to indicate that 2 pi radians is the answer.

 

[PhanthomJay]

I walk around a circular track. My displacement is 0 because I'm back at my starting point.
How about my angular displacement? Is it 2 pi radians, or is it also 0? The definitions I've been reading online seem to indicate that 2 pi radians is the answer.

Angular displacement has magnitude and direction, but it is not a vector because it does not obey all the laws of vectors, specifically, it does not obey the commutative property of addition. So the angular displacement when rotating full circle is 2pi radians , and it's direction is given by the right hand rule.