Question

A particle moves on a circular path of radius, $R$. Find magnitude of its displacement during an interval in which it covers an angle $\theta$

• A. $R\theta$
• B. $Rsin\theta$
• C. $2Rcos\left(\theta /2\right)$
• D. $2Rsin\left(\theta /2\right)$

Answer 1

Answer: (D)

$2Rsin\left(\theta /2\right)$

Displacement $=|{\overrightarrow{r}}_2-{\overrightarrow{r}}_1|=2Rsin\left(\frac{\theta }{2}\right)$