# what is angular displacement? pls explain with example..

420 Points
12 years ago

The difference between the initial and final angular position of a moving body. It is measured in radians. Angular displacement has both magnitude and direction. Conventionally, clockwise movements are described as positive (+) and anticlockwise movements as negative (−). Also, angular displacements of human body segments usually indicate the type of joint movement (e.g. flexion or extension).

Angular displacement is measured in radians rather than degrees. This is because it provides a very simple relationship between distance traveled around the circle and the distance r from the centre.

$\theta=\frac sr$

For example if an object rotates 360 degrees around a circle radius r the angular displacement is given by the distance traveled the circumference which is 2πr Divided by the radius in: $\theta= \frac{2\pi r}r$ which easily simplifies to θ = 2π. Therefore 1 revolution is radians.

All the best.

AKASH GOYAL