Answer the following questions related to motion along a circular path:
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
Answer the following questions related to motion along a circular path:
(i) Define (a) arc length s and (b) angular displacement θ for a particle moving on a circle of radius r. Clearly mention the physical meaning of each quantity.
(ii) Distinguish between arc length and angular displacement on any three points such as (a) physical nature, (b) range of possible values, and (c) whether the quantity resets after one complete revolution.
(iii) State the SI unit of (a) arc length and (b) angular displacement. Explain, with suitable reasoning, why the radian is treated like a unit even though it is dimensionless in dimensional analysis.