Question

A particle moves along a circular path of radius $r$ with uniform speed $v$. The angle described by the particle in one second is given by:

• A. $v{r}^{-2}$
• B. $v^{-2}r$
• C. $v{r}^{-1}$
• D. $v^{-1}r$

Answer 1

The correct option is C $v{r}^{-1}$

Here, a particle moves along a circular path of radius $r$ with uniform speed $v$.

Thus the angular velocity is:
$\omega =\frac{v}{r}$
The angle described by the radius vector is:
$\theta =\omega t$
For $t=1s$,
$\theta =\omega =\frac{v}{r}$ $=v{r}^{-1}$