Question

A particle starts from the point $(0m,8m)$ and moves with uniform velocity of $3\hat{i}m/s$. After $5$ seconds, the angular velocity of the particle about the origin will be

• A. $\frac{8}{289}rad/s$
• B. $\frac{3}{8}rad/s$
• C. $\frac{24}{289}rad/s$
• D. $\frac{3}{17}rad/s$

Answer 1

The correct option is D $\frac{3}{17}rad/s$

After $5$ seconds, the particle is at point $B$ and has travelled a distance of:

$5\times 3=15$ $m$

It is at a distance of:

$OB=\sqrt{8^2+{15}^2}=17$ $m$

from the origin.

$\therefore$ Its angular velocity about origin:

$\omega =\frac{v}{r}=\frac{3}{17}$ $rad/s$