Question

If a particle moves in a circular path, one full circle clockwise and then counter clockwise for half the circle then the angular displacement and linear displacement of the particle is

• A. $\pi$ counter clockwise, $r$
• B. $\pi$ clockwise, $2r$
• C. $\frac{\pi }{2}$ counter clockwise, $2r$
• D. $\frac{\pi }{2}$ clockwise, $2r$

Answer 1

The correct option is B $\pi$ clockwise, $2r$

For one full circle in clockwise direction, the angular displacement is $2\pi$.
So, linear displacement $=0$
For one half circle in counter clockwise direction, the angular displacement is $-\pi$.
So, linear displacement $=2r$
Therefore, Angular displacement for one full circle clockwise + one half circle counter clockwise $=\pi \text{clockwise}$
and linear displacement $=2r$