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.tony873004 said: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 is a measure of the change in orientation or rotation of an object. It is usually measured in radians or degrees.
Angular displacement measures the change in rotation or orientation of an object, while linear displacement measures the change in position or distance of an object.
The formula for calculating angular displacement is θ = s/r, where θ is the angular displacement, s is the arc length, and r is the radius of the circle or arc.
Radians are the preferred unit of measurement for angular displacement because they are directly related to the arc length and radius of a circle, making calculations easier.
2π radians is equal to a full circle or 360 degrees. This means that when an object rotates a full circle, its angular displacement is 2π radians.